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Markowich, Peter Alexander

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Author ID: markowich.peter-alexander Recent zbMATH articles by "Markowich, Peter Alexander"
Published as: Markowich, Peter A.; Markowich, Peter; Markowich, P. A.; Markowich, P.; Markowich, Peter Alexander; Markovich, P.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 209 Publications since 1980, including 4 Books
5 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 146 Co-Authors with 196 Joint Publications
4,630 Co-Co-Authors
all top 5

Co-Authors

18 single-authored
24 Schmeiser, Christian
22 Sparber, Christof
13 Degond, Pierre
12 Haskovec, Jan
12 Jin, Shi
11 Arnold, Anton
11 Burger, Martin
11 Ringhofer, Christian A.
9 Gasser, Ingenuin
9 Perthame, Benoît
9 Wolfram, Marie-Therese
8 Bao, Weizhu
8 Dolbeault, Jean
8 Hajaiej, Hichem
8 Unterreiter, Andreas
7 Huang, Zhongyi
7 Mauser, Norbert Julius
7 Pietra, Paola
7 Toscani, Giuseppe
6 Caffarelli, Luis Ángel
6 Jüngel, Ansgar
6 Poupaud, Frédéric
6 Renardy, Michael
5 Carrillo de la Plata, José Antonio
5 Cordier, Stéphane
5 Di Francesco, Marco
5 Pietschmann, Jan-Frederik
5 Trabelsi, Saber
5 Wang, Shu
4 Brezzi, Franco
4 Kreusser, Lisa Maria
4 Li, Hailiang
4 Lorz, Alexander
4 Paul, Thierry
4 Sierra, Jesús
4 Zubelli, Jorge P.
3 Antonelli, Paolo
3 Ben Abdallah, Naoufel
3 Engl, Heinz W.
3 Fellner, Klemens
3 Klein, Christian
3 Lederman, Claudia B.
3 Leitão, Antonio
3 Pohl, Carsten
3 Weishäupl, Rada-Maria
2 Alhomedan, Suad
2 Aoki, Kazuo
2 Ascher, Uri M.
2 Athanassoulis, Agisillaos
2 Bardos, Claude Williams
2 Biler, Piotr
2 Brinkman, Daniel
2 Carles, Rémi
2 Chalub, Fabio A. C. C.
2 Chen, Huyuan
2 Düring, Bertram
2 Golse, François
2 Jaksch, Dieter
2 Matevosyan, Norayr
2 Mei, Ming
2 Mielke, Alexander
2 Ölz, Dietmar
2 Pareschi, Lorenzo
2 Pilli, Giulia
2 Schönlieb, Carola-Bibiane
2 Steinrück, Herbert
2 Villani, Cédric
2 Weiss, Richard
2 Zheng, Chunxiong
1 Abdelhedi, Wael
1 Aki, Gonca L.
1 Albi, Giacomo
1 Alhemedan, Suad
1 Artina, Marco
1 Bod’ová, Katarína
1 Bonilla, Luis Lopez
1 Borgna, Juan Pablo
1 Chai, Lihui
1 Chertock, Alina E.
1 Cho, Yonggeun
1 Chtioui, Hichem
1 Chu, Shun-Yin
1 Ciepliński, Krzysztof
1 de Hoop, Maarten V.
1 Desvillettes, Laurent
1 Dolak-Struss, Yasmin
1 Duan, Renjun
1 Esteban, Maria J.
1 Fall, Mouhamed Moustapha
1 Fang, Di
1 Figalli, Alessio
1 Foransier, Massimo
1 Gabetta, Ester
1 Gangbo, Wilfrid
1 Ge, Yunyi
1 Gerard, Patrick
1 Giga, Yoshikazu
1 Gosse, Laurent
1 Hao, Wu
1 Heitzinger, Clemens
...and 47 more Co-Authors
all top 5

Serials

13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 SIAM Journal on Mathematical Analysis
8 Communications in Mathematical Sciences
6 Archive for Rational Mechanics and Analysis
6 Journal of Computational Physics
6 Monatshefte für Mathematik
5 Journal of Mathematical Physics
5 Journal of Differential Equations
5 Applied Mathematics Letters
5 Communications in Partial Differential Equations
4 Nonlinearity
4 Transport Theory and Statistical Physics
4 SIAM Journal on Numerical Analysis
4 SIAM Journal on Applied Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Kinetic and Related Models
3 IMA Journal of Applied Mathematics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Asymptotic Analysis
3 Milan Journal of Mathematics
3 Multiscale Modeling & Simulation
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Numerische Mathematik
2 Mathematical and Computer Modelling
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bollettino della Unione Matemàtica Italiana. Serie VII. B
2 Journal of Nonlinear Science
2 SIAM Journal on Scientific Computing
2 Electronic Journal of Differential Equations (EJDE)
2 Discrete and Continuous Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis and Applications (Singapore)
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Wave Motion
1 Calcolo
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Physica D
1 Revista Matemática Iberoamericana
1 COMPEL
1 Forum Mathematicum
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Journal of Mathematical Sciences (New York)
1 Matemática Contemporânea
1 Taiwanese Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 Acta Numerica
1 Complex Variables and Elliptic Equations
1 Communications in Computational Physics
1 Mathematics and Mechanics of Complex Systems
1 Nonlinear Analysis. Theory, Methods & Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

185 Publications have been cited 4,308 times in 2,661 Documents Cited by Year
Semiconductor equations. Zbl 0765.35001
Markowich, Peter A.; Ringhofer, Christian A.; Schmeiser, Christian
441
1990
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
202
2010
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
198
1997
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas
165
2001
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
164
2002
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
135
2010
Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027
Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A.
132
2001
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501
Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A.
128
2003
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
114
2004
On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129
Degond, P.; Markowich, P. A.
98
1990
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
83
2003
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
63
2012
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
61
2009
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
58
2016
A steady state potential flow model for semiconductors. Zbl 0808.35150
Degond, Pierre; Markowich, Peter A.
55
1993
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
55
2011
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
54
1991
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
53
2005
The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061
Markowich, Peter A.; Mauser, Norbert J.
53
1993
Quantum hydrodynamics, Wigner transforms and the classical limit. Zbl 0877.76087
Gasser, Ingenuin; Markowich, Peter A.
52
1997
Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit. Zbl 0928.65109
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten
50
1999
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
49
2003
Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310
Li, Hailiang; Markowich, Peter; Mei, Ming
48
2002
On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Zbl 1139.82326
Markowich, P. A.; Villani, C.
47
2000
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
47
2008
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
46
2006
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
43
2005
A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential. Zbl 0805.35106
Markowich, P. A.; Mauser, N. J.; Poupaud, F.
41
1994
On the equivalence of the Schrödinger and the quantum Liouville equations. Zbl 0696.47042
Markowich, Peter A.
39
1989
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
36
2014
On a one-dimensional Schrödinger-Poisson scattering model. Zbl 0885.34067
Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A.
34
1997
On generalized Csiszár-Kullback inequalities. Zbl 1015.94003
Unterreiter, Andreas; Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
34
2000
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
34
2014
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
33
2004
On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
33
2011
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
32
2001
A phase plane analysis of transonic solutions for the hydrodynamic semiconductor model. Zbl 0800.76032
Ascher, Uri M.; Markowich, Peter A.; Pietra, Paola; Schmeiser, Christian
31
1991
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
31
2004
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
29
2007
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
28
2004
Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552
Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J.
27
2003
On steady state Euler-Poisson models for semiconductors. Zbl 0755.35138
Markowich, Peter A.
26
1991
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
26
2015
On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
24
2000
Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. Zbl 0871.76078
Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian A.
23
1996
Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070
Wang, Shu; Xin, Zhouping; Markowich, Peter A.
21
2006
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
21
2002
A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter
21
2002
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
21
2015
An analysis of the quantum Liouville equation. Zbl 0682.46047
Markowich, P. A.; Ringhofer, C. A.
21
1989
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
20
2007
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
19
1986
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
18
2016
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
17
2002
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
17
2016
A singularly perturbed boundary value problem modelling a semiconductor device. Zbl 0559.34058
Markowich, Peter A.; Ringhofer, Christian A.
17
1984
A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. Zbl 0709.35058
Markowich, Peter A.; Szmolyan, Peter
17
1989
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
17
2013
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
17
2013
Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059
Sparber, C.; Markowich, P.
16
2003
On singular limits of mean-field equations. Zbl 1054.76086
Dolbeault, Jean; Markowich, Peter A.; Unterreiter, Andreas
16
2001
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271
Brinkman, D.; Heitzinger, C.; Markowich, P. A.
15
2014
Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system. Zbl 1001.82107
Markowich, Peter A.; Rein, Gerhard; Wolansky, Gershon
15
2002
On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040
Lederman, Claudia; Markowich, Peter A.
15
2003
Semiclassical, \(t\to \infty\) asymptotics and dispersive effects for Hartree-Fock systems. Zbl 0924.35125
Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C.
15
1998
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
15
2011
Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127
Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C.
14
1995
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
14
2004
Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations. Zbl 1031.35100
Li, Hailiang; Markowich, Peter; Mei, Ming
14
2002
On a parabolic free boundary equation modeling price formation. Zbl 1183.35278
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T.
14
2009
A review of dispersive limits of (non)linear Schrödinger-type equations. Zbl 0972.35112
Gasser, Ingenuin; Lin, Chi-Kun; Markowich, Peter A.
14
2000
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
14
2007
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
13
2018
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
13
2005
On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F.
13
2011
A theory for the approximation of solutions of boundary value problems on infinite intervals. Zbl 0498.34007
Markowich, Peter A.
13
1982
A singular perturbation analysis of the fundamental semiconductor device equations. Zbl 0568.35007
Markowich, Peter A.
13
1984
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
13
2014
The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A.
12
2008
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026
Gosse, Laurent; Markowich, Peter A.
12
2004
A nonlinear Volterra integrodifferential equation describing the stretching of polymeric liquids. Zbl 0507.45013
Markowich, Peter A.; Renardy, M.
12
1983
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Hao, Wu; Markowich, Peter A.; Zheng, Songmu
12
2008
On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter
12
2014
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
11
2001
Travelling wave analysis of an isothermal Euler-Poisson model. Zbl 0884.35126
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
11
1996
High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C.
11
2001
A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118
Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese
11
2013
Analysis of boundary value problems on infinite intervals. Zbl 0528.34017
Markowich, Peter A.
11
1983
An asymptotic analysis of one-dimensional models of semiconductur devices. Zbl 0639.34016
Markowich, P. A.; Ringhofer, C. A.; Schmeiser, C.
10
1986
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
10
2004
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
10
2003
Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
10
2019
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
9
2008
The drift-diffusion limit for electron-phonon interaction in semiconductors. Zbl 0884.45006
Markowich, Peter A.; Schmeiser, Christian
9
1997
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
9
2010
Conditioning of the steady state semiconductor device problem. Zbl 0699.35046
Ascher, U.; Markowich, P. A.; Schmeiser, C.; Steinrück, Herbert; Weiss, R.
9
1989
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
9
2019
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134
Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.
8
2001
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013
Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz
8
2004
Macroscopic theory of charged quantum fluids. Zbl 0882.76107
Gasser, I.; Markowich, P. A.; Schmidt, D.; Unterreiter, A.
8
1995
Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
10
2019
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
9
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
7
2019
Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît
3
2019
Murray’s law for discrete and continuum models of biological networks. Zbl 1428.92029
Haskovec, Jan; Markowich, Peter; Pilli, Giulia
2
2019
Auxin transport model for leaf venation. Zbl 1472.92147
Haskovec, Jan; Jönsson, Henrik; Kreusser, Lisa Maria; Markowich, Peter
2
2019
Non-uniqueness of weak solutions of the quantum-hydrodynamic system. Zbl 1421.35004
Markowich, Peter; Sierra, Jesús
1
2019
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
13
2018
Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane
7
2018
Fundamental solutions for Schrödinger operators with general inverse square potentials. Zbl 1395.35002
Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter
3
2018
Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Zbl 1398.35245
Boďová, Katarína; Haskovec, Jan; Markowich, Peter
1
2018
Complete study of the existence and uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary. Zbl 1387.35603
Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter
4
2017
Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity. Zbl 1375.35480
Cho, Yonggeun; Fall, Mouhamed M.; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
3
2017
Existence of solutions to perturbed fractional Nirenberg problems. Zbl 1359.35210
Abdelhedi, Wael; Alhemedan, Suad; Chtioui, Hichem; Hajaiej, Hichem; Markowich, Peter A.
1
2017
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
58
2016
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
18
2016
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
17
2016
Parabolic free boundary price formation models under market size fluctuations. Zbl 1355.35184
Markowich, Peter; Teichmann, Josef; Wolfram, Marie-Therese
4
2016
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
26
2015
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
21
2015
On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. Zbl 1318.35109
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria
4
2015
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
3
2015
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2
2015
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
1
2015
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
36
2014
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
34
2014
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271
Brinkman, D.; Heitzinger, C.; Markowich, P. A.
15
2014
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
13
2014
On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter
12
2014
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
8
2014
Numerical simulations of X-ray free electron lasers (XFEL). Zbl 1319.78015
Antonelli, Paolo; Athanassoulis, Agissilaos; Huang, Zhongyi; Markowich, Peter A.
6
2014
Multiconfiguration Hartree-Fock theory for pseudorelativistic systems: the time-dependent case. Zbl 1291.35256
Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
4
2014
WKB analysis of Bohmian dynamics. Zbl 1341.35139
Figalli, A.; Klein, C.; Markowich, P.; Sparber, C.
3
2014
Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation. Zbl 1304.35655
Selem, Fouad Hadj; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
3
2014
Minimizers of a class of constrained vectorial variational problems. I. Zbl 1307.49012
Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
3
2014
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
17
2013
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
17
2013
A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118
Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese
11
2013
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
63
2012
On the dynamics of Bohmian measures. Zbl 1256.35171
Markowich, Peter; Paul, Thierry; Sparber, Christof
5
2012
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
55
2011
On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
33
2011
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
15
2011
On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F.
13
2011
On a price formation free boundary model by Lasry and Lions: the Neumann problem. Zbl 1233.91336
Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese
7
2011
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
202
2010
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
135
2010
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
9
2010
Numerical simulation of trapped dipolar quantum gases: collapse studies and vortex dynamics. Zbl 1188.81064
Huang, Zhongyi; Markowich, Peter A.; Sparber, Christof
3
2010
Decomposition-based method for high frequency waves in periodic media. Zbl 1227.35022
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
1
2010
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
61
2009
On a parabolic free boundary equation modeling price formation. Zbl 1183.35278
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T.
14
2009
On the Bloch decomposition based spectral method for wave propagation in periodic media. Zbl 1231.78019
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
3
2009
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
47
2008
The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A.
12
2008
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Hao, Wu; Markowich, Peter A.; Zheng, Songmu
12
2008
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
9
2008
Classical limit for semirelativistic Hartree systems. Zbl 1152.81307
Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof
8
2008
The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009
Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane
3
2008
Mathematical methods and modeling of biophysical phenomena. Zbl 1155.92302
Perthame, Benoit; Markowich, Peter; Zubelli, Jorge P.
2
2008
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
29
2007
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
20
2007
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
14
2007
Applied partial differential equations: a visual approach. Zbl 1109.35001
Markowich, Peter A.
4
2007
Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065
Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M.
3
2007
A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations. Zbl 1151.35087
Weishäuptl, Rada M.; Schmeiser, Christian; Markowich, Peter A.; Borgna, Juan Pablo
3
2007
Inverse problems for semiconductors: models and methods. Zbl 1115.82039
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
1
2007
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
46
2006
Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070
Wang, Shu; Xin, Zhouping; Markowich, Peter A.
21
2006
On inverse doping profile problems for the stationary voltage-current map. Zbl 1099.35173
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
6
2006
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
53
2005
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
43
2005
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
13
2005
On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073
Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M.
7
2005
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
114
2004
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
33
2004
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
31
2004
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
28
2004
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
14
2004
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026
Gosse, Laurent; Markowich, Peter A.
12
2004
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
10
2004
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013
Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz
8
2004
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
6
2004
Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344
Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A.
4
2004
Erratum: “Semiclassical asymptotics for the Maxwell-Dirac system”. Zbl 1064.81508
Sparber, C.; Markowich, P.
1
2004
Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Zbl 1064.35215
Matevosyan, Norayr; Markowich, Peter A.
1
2004
Entropy dissipation and Wasserstein metric methods for the viscous Burgers’ equation: Convergence to diffusive waves. Zbl 1062.35111
Di Francesco, Marco; Markowich, Peter A.
1
2004
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501
Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A.
128
2003
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
83
2003
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
49
2003
Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552
Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J.
27
2003
Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059
Sparber, C.; Markowich, P.
16
2003
On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040
Lederman, Claudia; Markowich, Peter A.
15
2003
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
10
2003
Recent progress on quantum hydrodynamic models for semiconductors. Zbl 1134.82338
Jüngel, Ansgar; Li, Hailiang; Markowich, Peter A.; Wang, Shu
2
2003
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
164
2002
Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310
Li, Hailiang; Markowich, Peter; Mei, Ming
48
2002
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
21
2002
A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter
21
2002
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
17
2002
...and 85 more Documents
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Cited by 2,768 Authors

69 Markowich, Peter Alexander
44 Carrillo de la Plata, José Antonio
43 Bao, Weizhu
40 Winkler, Michael
39 Jüngel, Ansgar
38 Dolbeault, Jean
37 Wang, Shu
33 Jin, Shi
28 Toscani, Giuseppe
25 Bellomo, Nicola
25 Degond, Pierre
23 Zhang, Kaijun
22 Arnold, Anton
22 Sparber, Christof
21 Peng, Yuejun
21 Soler, Juan S.
20 Perthame, Benoît
20 Zheng, Jiashan
19 Cai, Yongyong
19 Li, Hailiang
19 Li, Yeping
19 Liu, Hailiang
19 Méhats, Florian
18 Xiang, Zhaoyin
17 Bal, Guillaume
17 Carles, Rémi
16 Ben Abdallah, Naoufel
16 Martínez Gamba, Irene
16 Klein, Christian
16 López, José Luis
16 Paul, Thierry
16 Ryzhik, Lenya
16 Schmeiser, Christian
16 Tan, Zhong
15 Feng, Binhua
15 Gosse, Laurent
15 Guo, Boling
15 Hsiao, Ling
15 Mauser, Norbert Julius
15 Mei, Ming
15 Wang, Tingchun
15 Wolfram, Marie-Therese
14 Burger, Martin
14 Chainais-Hillairet, Claire
14 Pareschi, Lorenzo
13 Fermanian-Kammerer, Clotilde
13 Kang, Kyungkeun
13 Marcati, Pierangelo
13 Pinaud, Olivier
13 Tang, Qinglin
13 Tao, Youshan
13 Wang, Hanquan
13 Xu, Jiang
13 Yang, Xu
12 Fellner, Klemens
12 Ha, Seung-Yeal
12 Lu, Jianfeng
12 Vauchelet, Nicolas
12 Wang, Yulan
12 Yu, Huimin
12 Zhang, Qian
11 Calvez, Vincent
11 Di Francesco, Marco
11 Goudon, Thierry
11 Klar, Axel
11 Li, Xianggui
11 Mielke, Alexander
11 Nieto, Juanjo
11 Romano, Vittorio
11 Tang, Xianhua
11 Vazquez, Juan Luis
11 Yang, Jianwei
11 Zweifel, Paul F.
10 Antoine, Xavier
10 Chen, Li
10 Lange, Horst
10 Liu, Chun
10 Poupaud, Frédéric
10 Ringhofer, Christian A.
10 Sacco, Riccardo
10 Su, Chunmei
10 Titi, Edriss Saleh
10 Zhang, Guojing
10 Zhou, Zhennan
9 Antonelli, Paolo
9 Barletti, Luigi
9 Bellouquid, Abdelghani
9 Blanchet, Adrien
9 Chien, Cheng-Sheng
9 Duan, Renjun
9 Haskovec, Jan
9 Ju, Qiangchang
9 Lin, Chikun
9 Masmoudi, Nader
9 McCann, Robert J.
9 Nier, Francis
9 Pinnau, René
9 Shen, Jie
9 Tang, Bao Quoc
9 Wang, Zhian
...and 2,668 more Authors
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Cited in 309 Serials

163 Journal of Differential Equations
142 Journal of Computational Physics
137 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
95 Journal of Mathematical Analysis and Applications
61 Archive for Rational Mechanics and Analysis
59 Journal of Mathematical Physics
52 Nonlinear Analysis. Real World Applications
51 Journal of Statistical Physics
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
47 SIAM Journal on Mathematical Analysis
46 Applied Mathematics Letters
46 Communications in Partial Differential Equations
45 Kinetic and Related Models
44 ZAMP. Zeitschrift für angewandte Mathematik und Physik
40 Journal of Scientific Computing
35 Journal of Computational and Applied Mathematics
34 Physica D
33 Discrete and Continuous Dynamical Systems
32 Journal of Functional Analysis
31 Communications in Mathematical Physics
31 Transport Theory and Statistical Physics
31 Applied Mathematics and Computation
30 Discrete and Continuous Dynamical Systems. Series B
29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 Multiscale Modeling & Simulation
27 Applied Numerical Mathematics
27 Journal de Mathématiques Pures et Appliquées. Neuvième Série
26 Computers & Mathematics with Applications
26 Mathematical and Computer Modelling
25 Mathematical Methods in the Applied Sciences
24 Mathematics of Computation
23 Physics Letters. A
23 Calculus of Variations and Partial Differential Equations
21 Numerische Mathematik
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 SIAM Journal on Applied Mathematics
19 Computer Physics Communications
19 Nonlinearity
18 Applicable Analysis
18 Communications on Pure and Applied Analysis
18 Networks and Heterogeneous Media
17 SIAM Journal on Numerical Analysis
17 SIAM Journal on Scientific Computing
15 Acta Applicandae Mathematicae
15 Science China. Mathematics
13 Numerical Algorithms
13 Journal of Nonlinear Science
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Communications in Computational Physics
12 Computer Methods in Applied Mechanics and Engineering
12 Journal of Mathematical Biology
12 Physica A
12 Annales Henri Poincaré
11 Quarterly of Applied Mathematics
11 International Journal of Computer Mathematics
11 Journal of Evolution Equations
11 Boundary Value Problems
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Discrete and Continuous Dynamical Systems. Series S
9 Wave Motion
9 SIAM Journal on Control and Optimization
9 Chinese Annals of Mathematics. Series B
9 Journal of Hyperbolic Differential Equations
8 Applied Mathematics and Optimization
8 Numerical Methods for Partial Differential Equations
8 Journal of Dynamics and Differential Equations
8 Journal of Mathematical Fluid Mechanics
8 Foundations of Computational Mathematics
8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 International Journal of Theoretical Physics
7 Chaos, Solitons and Fractals
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 COMPEL
7 European Journal of Applied Mathematics
7 NoDEA. Nonlinear Differential Equations and Applications
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Advanced Nonlinear Studies
7 SIAM Journal on Applied Dynamical Systems
7 Nonlinear Analysis. Theory, Methods & Applications
6 Astrophysics and Space Science
6 BIT
6 Mathematics and Computers in Simulation
6 Monatshefte für Mathematik
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Computational and Applied Mathematics
6 Communications in Nonlinear Science and Numerical Simulation
6 Evolution Equations and Control Theory
6 Research in the Mathematical Sciences
5 Communications on Pure and Applied Mathematics
5 Journal of Fluid Mechanics
5 Bulletin of Mathematical Biology
5 Transactions of the American Mathematical Society
5 The Annals of Applied Probability
5 Topological Methods in Nonlinear Analysis
5 Analysis and Applications (Singapore)
5 Advances in Difference Equations
5 Frontiers of Mathematics in China
5 Advances in Mathematical Physics
...and 209 more Serials
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Cited in 47 Fields

2,033 Partial differential equations (35-XX)
670 Statistical mechanics, structure of matter (82-XX)
649 Numerical analysis (65-XX)
571 Fluid mechanics (76-XX)
446 Biology and other natural sciences (92-XX)
347 Quantum theory (81-XX)
167 Optics, electromagnetic theory (78-XX)
115 Probability theory and stochastic processes (60-XX)
107 Dynamical systems and ergodic theory (37-XX)
95 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
93 Ordinary differential equations (34-XX)
93 Calculus of variations and optimal control; optimization (49-XX)
76 Operator theory (47-XX)
63 Integral equations (45-XX)
60 Systems theory; control (93-XX)
48 Mechanics of deformable solids (74-XX)
40 Operations research, mathematical programming (90-XX)
37 Global analysis, analysis on manifolds (58-XX)
34 Functional analysis (46-XX)
32 Real functions (26-XX)
26 Classical thermodynamics, heat transfer (80-XX)
25 Astronomy and astrophysics (85-XX)
25 Information and communication theory, circuits (94-XX)
23 Mechanics of particles and systems (70-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
15 Computer science (68-XX)
13 Approximations and expansions (41-XX)
11 Differential geometry (53-XX)
10 Difference and functional equations (39-XX)
10 Statistics (62-XX)
10 Relativity and gravitational theory (83-XX)
9 General and overarching topics; collections (00-XX)
8 Special functions (33-XX)
7 Geophysics (86-XX)
4 Topological groups, Lie groups (22-XX)
4 Potential theory (31-XX)
3 Measure and integration (28-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Mathematics education (97-XX)

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