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## Jüngel, Ansgar

Compute Distance To:
 Author ID: jungel.ansgar Published as: Jüngel, Ansgar; Jüngel, A.; Jungel, Ansgar Homepage: http://www.asc.tuwien.ac.at/~juengel/ External Links: MGP · Wikidata · ORCID · dblp · GND
 Documents Indexed: 198 Publications since 1994, including 6 Books
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#### Co-Authors

 23 single-authored 11 Zamponi, Nicola 9 Chen, Xiuqing 8 Galiano Casas, Gonzalo 8 Matthes, Daniel 8 Milišić, Josipa Pina 8 Peng, Yuejun 8 Pietra, Paola 7 Carrillo de la Plata, José Antonio 7 Chen, Li 7 Degond, Pierre 6 Markowich, Peter Alexander 6 Toscani, Giuseppe 5 Chainais-Hillairet, Claire 5 Daus, Esther S. 5 Düring, Bertram 5 Génieys, Stéphane 5 Li, Hailiang 5 Pinnau, René 4 Braukhoff, Marcel 4 Grasser, Tibor 4 Rupp, Karl 4 Trussardi, Lara 3 Bukal, Mario 3 Desvillettes, Laurent 3 Diaz Diaz, Jesus Ildefonso 3 Dolbeault, Jean 3 Martínez Gamba, Irene 3 Garzon, Maria Luisa 3 Gerstenmayer, Anita 3 Gualdani, Maria Pia 3 Holst, Stefan 3 Lacroix-Violet, Ingrid 3 Leingang, Oliver 3 Schuchnigg, Stefan 3 Shpartko, Polina 3 Tang, Shaoqiang 3 Wang, Shu 2 Alì, Giuseppe 2 Amster, Pablo 2 Arnold, Anton 2 Bessemoulin-Chatard, Marianne 2 Brunk, Markus 2 Dhariwal, Gaurav 2 Fournié, Michel 2 Gadau, Stephan 2 Gentil, Ivan 2 Hittmeir, Sabine 2 Krause, Stefan 2 Kühn, Christian 2 Mariani, Maria Cristina 2 Matsumura, Akitaka 2 Mennemann, Jan-Frederik 2 Röhrig, Elisa 2 Stelzer, Ines Viktoria 2 Unterreiter, Andreas 2 Weinbub, Josef 2 Winkler, Michael 1 Achleitner, Franz 1 Aoki, Kazuo 1 Bechouche, Philippe 1 Bonizzoni, Francesca 1 Cancès, Clément 1 Dreher, Michael 1 Druet, Pierre-Étienne 1 Emmrich, Etienne 1 Fuchs, Philipp 1 Gasser, Ingenuin 1 Gisclon, Marguerite 1 Goudon, Thierry 1 Günther, Michael 1 Gyi, Myo Thein 1 Hansen, Olaf 1 Helmer, Christoph 1 Holzinger, Philipp 1 Huber, Florian 1 Huo, Xiaokai 1 Kristöfel, Peter 1 Lederman, Claudia B. 1 Lin, Chikun 1 Liu, Jianguo 1 López, José Luis 1 Manasevich, Raul F. 1 Meurer, Thomas 1 Mikyška, jiří 1 Montejo-Gámez, Jesús 1 Morhammer, Andreas 1 Mouhot, Clément 1 Neamţu, Alexandra 1 Negulescu, Claudia 1 Perugia, Ilaria 1 Ptashnyk, Mariya 1 Rial, Diego F. 1 Rudolf, Florian 1 Santos, Matheus C. 1 Schmeiser, Christian 1 Schörkhuber, Birgit 1 Selberherr, Siegfried 1 Shahgholian, Henrik 1 Stefanelli, Ulisse 1 Taguchi, Satoshi ...and 16 more Co-Authors
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#### Serials

 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 SIAM Journal on Mathematical Analysis 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Differential Equations 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 SIAM Journal on Scientific Computing 6 Discrete and Continuous Dynamical Systems. Series B 6 Communications in Mathematical Sciences 5 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Analysis and Applications 5 Communications in Partial Differential Equations 4 Communications in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Numerische Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Numerical Methods for Partial Differential Equations 4 Kinetic and Related Models 3 Nonlinearity 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Nonlinear Analysis. Real World Applications 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Asymptotic Analysis 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Applicable Analysis 1 IMA Journal of Numerical Analysis 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Optimization 1 Archivum Mathematicum 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 Publicacions Matemàtiques 1 The Annals of Applied Probability 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Theoretical and Applied Finance 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Rivista di Matematica della Università di Parma. New Series 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications 1 SpringerBriefs in Mathematics
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#### Fields

 165 Partial differential equations (35-XX) 77 Statistical mechanics, structure of matter (82-XX) 52 Fluid mechanics (76-XX) 45 Numerical analysis (65-XX) 28 Biology and other natural sciences (92-XX) 27 Optics, electromagnetic theory (78-XX) 10 Probability theory and stochastic processes (60-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Quantum theory (81-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

166 Publications have been cited 2,270 times in 1,075 Documents Cited by Year
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.
2001
Quasi-hydrodynamic semiconductor equations. Zbl 0969.35001
Jüngel, Ansgar
2001
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
2015
Analysis of a multidimensional parabolic population model with strong cross-diffusion. Zbl 1082.35075
Chen, Li; Jüngel, Ansgar
2004
Global weak solutions to compressible Navier-Stokes equations for quantum fluids. Zbl 1228.35083
Jüngel, Ansgar
2010
Analysis of a parabolic cross-diffusion population model without self-diffusion. Zbl 1096.35060
Chen, Li; Jüngel, Ansgar
2006
Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas. Zbl 1020.35072
Alì, Giuseppe; Jüngel, Ansgar
2003
Entropy methods for diffusive partial differential equations. Zbl 1361.35002
Jüngel, Ansgar
2016
The Derrida–Lebowitz–Speer– Spohn equation: Existence, nonuniqueness, and decay rates of the solutions. Zbl 1160.35428
Jüngel, Ansgar; Matthes, Daniel
2008
Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model. Zbl 1018.65115
Galiano, Gonzalo; Garzón, María L.; Jüngel, Ansgar
2003
A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits. Zbl 0946.35074
Jüngel, Ansgar; Peng, Yue-Jun
1999
Global nonnegative solutions of a nonlinear fourth-order parabolic equation for quantum systems. Zbl 0979.35061
Jüngel, Ansgar; Pinnau, René
2000
A positivity-preserving numerical scheme for a nonlinear fourth order parabolic system. Zbl 0994.35047
Jüngel, Ansgar; Pinnau, René
2001
Compact families of piecewise constant functions in $$L^p (0,T;B)$$. Zbl 1245.46017
Dreher, Michael; Jüngel, Ansgar
2012
Quantum Euler-Poisson systems: global existence and exponential decay. Zbl 1069.35012
Jüngel, Ansgar; Li, Hailiang
2004
Qualitative behavior of solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Zbl 0841.35114
Jüngel, Ansgar
1995
Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited. Zbl 0963.35115
Jüngel, Ansgar; Peng, Yue-Jun
2000
A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. Zbl 0907.35059
Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar
1997
A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019
Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo
2014
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.
2004
Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. Zbl 1276.35104
Jüngel, Ansgar; Stelzer, Ines Viktoria
2013
Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. Zbl 1259.35114
Hittmeir, Sabine; Jüngel, Ansgar
2011
Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031
Düring, Bertram; Fournié, Michel; Jüngel, Ansgar
2004
High-order compact finite difference schemes for a nonlinear Black-Scholes equation. Zbl 1070.91024
Düring, Bertram; Fournié, Michel; Jüngel, Ansgar
2003
Local existence of solutions to the transient quantum hydrodynamic equations. Zbl 1215.81031
Jüngel, Ansgar; Mariani, Maria Cristina; Rial, Diego
2002
A hierarchy of hydrodynamic models for plasmas. Quasi-neutral limits in the drift-diffusion equations. Zbl 1045.76058
Jüngel, Ansgar; Peng, Yue-Jun
2001
On the existence and uniqueness of transient solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Zbl 0820.35128
Jüngel, Ansgar
1994
Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009
Gamba, Irene M.; Jüngel, Ansgar
2001
An algorithmic construction of entropies in higher-order nonlinear PDEs. Zbl 1091.35031
Jüngel, Ansgar; Matthes, Daniel
2006
Derivation of new quantum hydrodynamic equations using entropy minimization. Zbl 1121.35117
Jüngel, Ansgar; Matthes, Daniel; Milišić, Josipa Pina
2006
Numerical discretization of energy-transport models for semiconductors with nonparabolic band structure. Zbl 1049.82074
Degond, Pierre; Jüngel, Ansgar; Pietra, Paola
2000
A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects. Zbl 0935.35046
Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar
1998
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
2004
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka
2006
A steady-state quantum Euler-Poisson system for potential flows. Zbl 0916.76099
Jüngel, Ansgar
1998
Exponential time decay of solutions to a nonlinear fourth-order parabolic equation. Zbl 1029.35033
Jüngel, A.; Toscani, G.
2003
Analysis of degenerate cross-diffusion population models with volume filling. Zbl 1386.35167
Zamponi, Nicola; Jüngel, Ansgar
2017
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis
2009
Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics. Zbl 1021.35047
Galiano, G.; Garzón, M. L.; Jüngel, A.
2001
Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. Zbl 1331.35273
Chen, Xiuqing; Jüngel, Ansgar
2015
Diffusive and nondiffusive population models. Zbl 1398.92205
Jüngel, Ansgar
2010
On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions. Zbl 0994.35072
Díaz, J. Ildefonso; Galiano, Gonzalo; Jüngel, Ansgar
2001
Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045
Jüngel, Ansgar; Pinnau, René
2003
Nonlinear problems in quantum semiconductor modeling. Zbl 1042.82630
Jüngel, Ansgar
2001
Dissipative quantum fluid models. Zbl 1257.82085
Jüngel, Ansgar
2012
The quasineutral limit in the quantum drift-diffusion equation. Zbl 1156.35077
Jüngel, Ansgar; Violet, Ingrid
2007
A nonlinear drift-diffusion system with electric convection arising in electrophoretic and semiconductor modeling. Zbl 1157.35406
Jüngel, Ansgar
1997
A derivation of the isothermal quantum hydrodynamic equations using entropy minimization. Zbl 1077.76074
Jüngel, Ansgar; Matthes, Daniel
2005
Global existence analysis of cross-diffusion population systems for multiple species. Zbl 1384.35135
Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar
2018
The zero-electron-mass limit in the hydrodynamic model for plasmas. Zbl 1189.35019
Alì, Giuseppe; Chen, Li; Jüngel, Ansgar; Peng, Yue-Jun
2010
Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors. Zbl 0982.35112
Amster, P.; Varela, M. P. Beccar; Jüngel, A.; Mariani, M. C.
2001
Inviscid limits of the complex Ginzburg-Landau equation. Zbl 0978.35059
Bechouche, Philippe; Jüngel, Ansgar
2000
The quantum hydrodynamic model for semiconductors in thermal equilibrium. Zbl 0882.76108
Gasser, Ingenuin; Jüngel, Ansgar
1997
A discretization scheme for a quasi-hydrodynamic semiconductor model. Zbl 0907.35075
Jüngel, Ansgar; Pietra, Paola
1997
Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047
Gualdani, M. P.; Jüngel, A.; Toscani, G.
2003
Physical and numerical viscosity for quantum hydrodynamics. Zbl 1130.76088
Jüngel, Ansgar; Milišić, Josipa Pina
2007
An asymptotic limit of a Navier-Stokes system with capillary effects. Zbl 1297.35169
Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien
2014
A finite volume scheme for a Keller-Segel model with additional cross-diffusion. Zbl 1309.92035
Bessemoulin-Chatard, Marianne; Jüngel, Ansgar
2014
Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131
Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar
2012
A quantum regularization of the one-dimensional hydrodynamic model for semiconductors. Zbl 1174.82348
Gyi, Myo Thein; Jüngel, Ansgar
2000
Convergence of Schrödinger-Poisson systems to the compressible Euler equations. Zbl 1044.35090
Jüngel, Ansgar; Wang, Shu
2003
A parabolic cross-diffusion system for granular materials. Zbl 1047.35058
Galiano, Gonzalo; Jüngel, Ansgar; Velasco, Julián
2003
A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Zbl 1119.35024
Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics. Zbl 0963.35079
Jüngel, Ansgar
2000
A mixed finite-element discretization of the energy-transport model for semiconductors. Zbl 1163.65332
Holst, Stefan; Jungel, Ansgar; Pietra, Paolo
2003
Hypocoercivity for a linearized multispecies Boltzmann system. Zbl 1350.35141
Daus, Esther S.; Jüngel, Ansgar; Mouhot, Clément; Zamponi, Nicola
2016
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. Zbl 1341.65034
Chainais-Hillairet, Claire; Jüngel, Ansgar; Schuchnigg, Stefan
2016
Analysis of a parabolic cross-diffusion semiconductor model with electron-hole scattering. Zbl 1143.35069
Chen, Li; Jüngel, Ansgar
2007
Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148
Jüngel, Ansgar; Milišić, Josipa-Pina
2011
Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Zbl 1113.35034
Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
A hierachy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations. Zbl 0956.35010
Jüngel, Ansgar; Peng, Yue-Jun
2000
Numerical approximation of a drift-diffusion model for semiconductors with nonlinear diffusion. Zbl 0866.35056
Jüngel, A.
1995
Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations. Zbl 1069.65128
Jüngel, Ansgar; Unterreiter, Andreas
2005
Quantum Euler-Poisson systems: existence of stationary states. Zbl 1122.35140
Jüngel, Ansgar; Li, Hailiang
2004
High-field approximations of the energy-transport model for semiconductors with non-parabolic band structure. Zbl 0991.35043
Degond, Pierre; Jüngel, Ansgar
2001
Numerical approximation of the viscous quantum hydrodynamic model for semiconductors. Zbl 1097.82030
Jüngel, Ansgar; Tang, Shaoqiang
2006
A sixth-order nonlinear parabolic equation for quantum systems. Zbl 1197.35151
Jüngel, Ansgar; Milišić, Josipa-Pina
2009
Zero-mass-electrons limits in hydrodynamic models for plasmas. Zbl 0959.76096
Goudon, T.; Jüngel, A.; Peng, Y.-J.
1999
First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation. Zbl 1142.35044
Jüngel, Ansgar; Violet, Ingrid
2007
Blow-up in two-component nonlinear Schrödinger systems with an external driven field. Zbl 1286.35229
2013
Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. Zbl 1375.65073
Jüngel, Ansgar; Schuchnigg, Stefan
2017
Symmetrization and entropy inequality for general diffusion equations. Zbl 0890.60072
Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar
1997
An adaptive mixed scheme for energy-transport simulations of field-effect transistors. Zbl 1073.82626
Holst, Stefan; Jüngel, Ansgar; Pietra, Paola
2004
Entropy structure of a cross-diffusion tumor-growth model. Zbl 1241.35119
Jüngel, Ansgar; Stelzer, Ines Viktoria
2012
A three-dimensional mixed finite-element approximation of the semiconductor energy-transport equations. Zbl 1191.82115
2008
Effective velocity in compressible Navier-Stokes equations with third-order derivatives. Zbl 1211.35217
Jüngel, Ansgar
2011
Asymptotic analysis of a semiconductor model based on Fermi-Dirac statistics. Zbl 0860.35008
Jüngel, Ansgar
1996
A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors. Zbl 0894.76097
Jüngel, A.
1997
A multidimensional nonlinear sixth-order quantum diffusion equation. Zbl 1288.35283
Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel
2013
Asymptotic limits for quantum trajectory models. Zbl 1006.35081
Gamba, Irene M.; Jüngel, Ansgar
2002
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar
2014
Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302
Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe
2011
A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162
Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara
2017
Energy transport in semiconductor devices. Zbl 1298.35106
Jüngel, Ansgar
2010
Global existence analysis for degenerate energy-transport models for semiconductors. Zbl 1357.35182
Zamponi, Nicola; Jüngel, Ansgar
2015
Positive entropic schemes for a nonlinear fourth-order parabolic equation. Zbl 1023.65090
Carrillo, José A.; Jüngel, Ansgar; Tang, Shaoqiang
2003
Existence analysis for a simplified transient energy-transport model for semiconductors. Zbl 1275.35124
Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa
2013
On a quasilinear degenerate system arising in semiconductor theory. Part II: Localization of vacuum solutions. Zbl 0924.35066
Díaz, Jesús Ildefonso; Galiano, Gonzalo; Jüngel, Ansgar
1999
A hierarchy of diffusive higher-order moment equations for semiconductors. Zbl 1138.35080
Jüngel, Ansgar; Krause, Stefan; Pietra, Paola
2007
Existence and uniqueness of solutions to a quasilinear parabolic equation with quadratic gradients in financial markets. Zbl 1074.35058
Düring, Bertram; Jüngel, Ansgar
2005
Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient. Zbl 1442.35188
Druet, Pierre-Etienne; Jüngel, Ansgar
2020
Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227
Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar
2020
Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion. Zbl 1439.35030
Jüngel, Ansgar; Leingang, Oliver; Wang, Shu
2020
High-friction limits of Euler flows for multicomponent systems. Zbl 1418.35264
Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E.
2019
Rigorous mean-field limit and cross-diffusion. Zbl 1421.35376
Chen, Li; Daus, Esther S.; Jüngel, Ansgar
2019
Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems. Zbl 1415.35151
Jüngel, Ansgar; Leingang, Oliver
2019
Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070
Chen, Xiuqing; Jüngel, Ansgar
2019
Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157
Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar
2019
Global martingale solutions for a stochastic population cross-diffusion system. Zbl 1422.35186
Dhariwal, Gaurav; Jüngel, Ansgar; Zamponi, Nicola
2019
Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method. Zbl 1404.35475
Achleitner, Franz; Jüngel, Ansgar; Yamamoto, Masakazu
2019
Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport. Zbl 1438.65205
Gerstenmayer, Anita; Jüngel, Ansgar
2019
Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations. Zbl 1423.60119
Carrillo, José A.; Jüngel, Ansgar; Santos, Matheus C.
2019
Homogenization of degenerate cross-diffusion systems. Zbl 1435.35037
Jüngel, Ansgar; Ptashnyk, Mariya
2019
Global existence analysis of cross-diffusion population systems for multiple species. Zbl 1384.35135
Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar
2018
A note on the uniqueness of weak solutions to a class of cross-diffusion systems. Zbl 1396.35027
Chen, Xiuqing; Jüngel, Ansgar
2018
Energy-transport systems for optical lattices: derivation, analysis, simulation. Zbl 1387.35369
Braukhoff, Marcel; Jüngel, Ansgar
2018
Existence analysis of a single-phase flow mixture with van der Waals pressure. Zbl 1397.35123
Jüngel, Ansgar; Mikyška, Jiří; Zamponi, Nicola
2018
Analysis of degenerate cross-diffusion population models with volume filling. Zbl 1386.35167
Zamponi, Nicola; Jüngel, Ansgar
2017
Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. Zbl 1375.65073
Jüngel, Ansgar; Schuchnigg, Stefan
2017
A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162
Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara
2017
Corrigendum to: “Analysis of degenerate cross-diffusion population models with volume filling”. Zbl 1417.35062
Zamponi, Nicola; Jüngel, Ansgar
2017
A kinetic equation for economic value estimation with irrationality and herding. Zbl 1352.35089
Düring, Bertram; Jüngel, Ansgar; Trussardi, Lara
2017
Discrete Beckner inequalities via the Bochner-Bakry-Emery approach for Markov chains. Zbl 1374.60144
Jüngel, Ansgar; Yue, Wen
2017
A cross-diffusion system derived from a Fokker-Planck equation with partial averaging. Zbl 1371.35145
Jüngel, Ansgar; Zamponi, Nicola
2017
Uniform $$L^\infty$$ estimates for approximate solutions of the bipolar drift-diffusion system. Zbl 1375.82120
Bessemoulin-Chatard, M.; Chainais-Hillairet, C.; Jüngel, A.
2017
Entropy methods for diffusive partial differential equations. Zbl 1361.35002
Jüngel, Ansgar
2016
Hypocoercivity for a linearized multispecies Boltzmann system. Zbl 1350.35141
Daus, Esther S.; Jüngel, Ansgar; Mouhot, Clément; Zamponi, Nicola
2016
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. Zbl 1341.65034
Chainais-Hillairet, Claire; Jüngel, Ansgar; Schuchnigg, Stefan
2016
Qualitative behavior of solutions to cross-diffusion systems from population dynamics. Zbl 1381.35078
Jüngel, Ansgar; Zamponi, Nicola
2016
A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors. Zbl 1350.82009
Chainais-Hillairet, Claire; Jüngel, Ansgar; Shpartko, Polina
2016
Pipelined iterative solvers with kernel fusion for graphics processing units. Zbl 1369.65055
Rupp, Karl; Weinbub, Josef; Jüngel, Ansgar; Grasser, Tibor
2016
ViennaCL-linear algebra library for multi- and many-core architectures. Zbl 1349.65740
Rupp, Karl; Tillet, Philippe; Rudolf, Florian; Weinbub, Josef; Morhammer, Andreas; Grasser, Tibor; Jüngel, Ansgar; Selberherr, Siegfried
2016
Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system. Zbl 1375.35524
Zamponi, Nicola; Jüngel, Ansgar
2016
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
2015
Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. Zbl 1331.35273
Chen, Xiuqing; Jüngel, Ansgar
2015
Global existence analysis for degenerate energy-transport models for semiconductors. Zbl 1357.35182
Zamponi, Nicola; Jüngel, Ansgar
2015
Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations. Zbl 1332.65137
Jüngel, Ansgar; Milišić, Josipa-Pina
2015
Bounded weak solutions to a matrix drift-diffusion model for spin-coherent electron transport in semiconductors. Zbl 1396.35029
Jüngel, Ansgar; Negulescu, Claudia; Shpartko, Polina
2015
A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. I: Local existence of solutions. Zbl 1317.35258
Jüngel, Ansgar; Winkler, Michael
2015
A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. II: Finite-time blow-up. Zbl 1331.35163
Jüngel, Ansgar; Winkler, Michael
2015
A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019
Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo
2014
An asymptotic limit of a Navier-Stokes system with capillary effects. Zbl 1297.35169
Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien
2014
A finite volume scheme for a Keller-Segel model with additional cross-diffusion. Zbl 1309.92035
Bessemoulin-Chatard, Marianne; Jüngel, Ansgar
2014
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar
2014
Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations. Zbl 1349.81033
Mennemann, Jan-Frederik; Jüngel, Ansgar
2014
On the Lagrangian structure of quantum fluid models. Zbl 1276.35130
Fuchs, Philipp; Jüngel, Ansgar; Von Renesse, Max
2014
Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. Zbl 1276.35104
Jüngel, Ansgar; Stelzer, Ines Viktoria
2013
Blow-up in two-component nonlinear Schrödinger systems with an external driven field. Zbl 1286.35229
2013
A multidimensional nonlinear sixth-order quantum diffusion equation. Zbl 1288.35283
Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel
2013
Existence analysis for a simplified transient energy-transport model for semiconductors. Zbl 1275.35124
Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa
2013
Flatness of semilinear parabolic PDEs – a generalized Cauchy-Kowalevski approach. Zbl 1369.93274
Schörkhuber, Birgit; Meurer, Thomas; Jüngel, Ansgar
2013
Two spinorial drift-diffusion models for quantum electron transport in graphene. Zbl 1282.35132
Jüngel, Ansgar; Zamponi, Nicola
2013
Compact families of piecewise constant functions in $$L^p (0,T;B)$$. Zbl 1245.46017
Dreher, Michael; Jüngel, Ansgar
2012
Dissipative quantum fluid models. Zbl 1257.82085
Jüngel, Ansgar
2012
Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131
Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar
2012
Entropy structure of a cross-diffusion tumor-growth model. Zbl 1241.35119
Jüngel, Ansgar; Stelzer, Ines Viktoria
2012
Quantum Navier-Stokes equations. Zbl 1246.82079
Jüngel, Ansgar; Milišić, Josipa-Pina
2012
Lyapunov functionals, weak sequential stability, and uniqueness analysis for energy-transport systems. Zbl 1304.35019
Jüngel, Ansgar; Kristöfel, Peter
2012
Deterministic numerical solution of the Boltzmann transport equation. Zbl 1246.82094
Rupp, Karl; Grasser, Tibor; Jüngel, Ansgar
2012
Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. Zbl 1259.35114
Hittmeir, Sabine; Jüngel, Ansgar
2011
Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148
Jüngel, Ansgar; Milišić, Josipa-Pina
2011
Effective velocity in compressible Navier-Stokes equations with third-order derivatives. Zbl 1211.35217
Jüngel, Ansgar
2011
Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302
Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe
2011
Diffusive semiconductor moment equations using Fermi-Dirac statistics. Zbl 1276.82063
Jüngel, Ansgar; Krause, Stefan; Pietra, Paola
2011
A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach. Zbl 1238.82024
Jüngel, Ansgar; López, José Luis; Montejo-Gámez, Jesús
2011
A finite-volume scheme for the multidimensional quantum drift-diffusion model for semiconductors. Zbl 1251.82055
Chainais-Hillairet, Claire; Gisclon, Marguerite; Jüngel, Ansgar
2011
A simplified quantum energy-transport model for semiconductors. Zbl 1206.35152
Jüngel, Ansgar; Milišić, Josipa-Pina
2011
Entropies for radially symmetric higher-order nonlinear diffusion equations. Zbl 1221.35077
Bukal, Mario; Jungel, Ansgar; Matthes, Daniel
2011
Semiclassical limit in a simplified quantum energy-transport model for semiconductors. Zbl 1246.35025
Chen, Li; Chen, Xiu-Qing; Jüngel, Ansgar
2011
Global weak solutions to compressible Navier-Stokes equations for quantum fluids. Zbl 1228.35083
Jüngel, Ansgar
2010
Diffusive and nondiffusive population models. Zbl 1398.92205
Jüngel, Ansgar
2010
The zero-electron-mass limit in the hydrodynamic model for plasmas. Zbl 1189.35019
Alì, Giuseppe; Chen, Li; Jüngel, Ansgar; Peng, Yue-Jun
2010
Energy transport in semiconductor devices. Zbl 1298.35106
Jüngel, Ansgar
2010
Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors. Zbl 1204.82039
Rupp, Karl; Jüngel, Ansgar; Grasser, T.
2010
Time-dependent simulations of quantum waveguides using a time-splitting spectral method. Zbl 1205.81091
Jüngel, Ansgar; Mennemann, Jan-Frederik
2010
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis
2009
A sixth-order nonlinear parabolic equation for quantum systems. Zbl 1197.35151
Jüngel, Ansgar; Milišić, Josipa-Pina
2009
Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389
Düring, B.; Jüngel, A.; Volkwein, S.
2009
The Derrida–Lebowitz–Speer– Spohn equation: Existence, nonuniqueness, and decay rates of the solutions. Zbl 1160.35428
Jüngel, Ansgar; Matthes, Daniel
2008
A three-dimensional mixed finite-element approximation of the semiconductor energy-transport equations. Zbl 1191.82115
2008
Numerical coupling of electric circuit equations and energy-transport models for semiconductors. Zbl 1160.78313
Brunk, Markus; Jüngel, Ansgar
2008
Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in $$\mathbb R^d$$. Zbl 1152.35317
Carrillo, J. A.; Gualdani, M. P.; Jüngel, A.
2008
A two-surface problem of the electron flow in a semiconductor on the basis of kinetic theory. Zbl 1136.82382
Taguchi, Satoshi; Jüngel, Ansgar
2008
Simulation of thermal effects in optoelectronic devices using coupled energy-transport and circuit models. Zbl 1157.78308
Brunk, Markus; Jüngel, Ansgar
2008
The quasineutral limit in the quantum drift-diffusion equation. Zbl 1156.35077
Jüngel, Ansgar; Violet, Ingrid
2007
Physical and numerical viscosity for quantum hydrodynamics. Zbl 1130.76088
Jüngel, Ansgar; Milišić, Josipa Pina
2007
Analysis of a parabolic cross-diffusion semiconductor model with electron-hole scattering. Zbl 1143.35069
Chen, Li; Jüngel, Ansgar
2007
First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation. Zbl 1142.35044
Jüngel, Ansgar; Violet, Ingrid
2007
A hierarchy of diffusive higher-order moment equations for semiconductors. Zbl 1138.35080
Jüngel, Ansgar; Krause, Stefan; Pietra, Paola
2007
Analysis of a parabolic cross-diffusion population model without self-diffusion. Zbl 1096.35060
Chen, Li; Jüngel, Ansgar
2006
An algorithmic construction of entropies in higher-order nonlinear PDEs. Zbl 1091.35031
Jüngel, Ansgar; Matthes, Daniel
2006
Derivation of new quantum hydrodynamic equations using entropy minimization. Zbl 1121.35117
Jüngel, Ansgar; Matthes, Daniel; Milišić, Josipa Pina
2006
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka
2006
A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Zbl 1119.35024
Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Zbl 1113.35034
Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar
2006
Numerical approximation of the viscous quantum hydrodynamic model for semiconductors. Zbl 1097.82030
Jüngel, Ansgar; Tang, Shaoqiang
2006
Multi-scale modeling of quantum semiconductor devices. Zbl 1366.82062
Arnold, Anton; Jüngel, Ansgar
2006
A mixed finite-element scheme of a semiconductor energy-transport model using dual entropy variables. Zbl 1154.82300
Gadau, Stephan; Jüngel, Ansgar; Pietra, Paola
2006
A derivation of the isothermal quantum hydrodynamic equations using entropy minimization. Zbl 1077.76074
Jüngel, Ansgar; Matthes, Daniel
2005
Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations. Zbl 1069.65128
Jüngel, Ansgar; Unterreiter, Andreas
2005
...and 66 more Documents
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#### Cited by 1,176 Authors

 92 Jüngel, Ansgar 36 Li, Yeping 26 Carrillo de la Plata, José Antonio 25 Wang, Shu 22 Dolbeault, Jean 20 Chen, Li 17 Chainais-Hillairet, Claire 17 Chen, Xiuqing 17 Peng, Yuejun 17 Yang, Jianwei 16 Zhang, Kaijun 15 Zamponi, Nicola 14 Pinnau, René 13 Ju, Qiangchang 12 Toscani, Giuseppe 11 Antonelli, Paolo 11 Galiano Casas, Gonzalo 11 Hsiao, Ling 11 Salvarani, Francesco 11 Winkler, Michael 10 Daus, Esther S. 10 Li, Hailiang 10 Markowich, Peter Alexander 9 Dong, Jianwei 9 Guo, Boling 9 Liu, Jianguo 9 Ogawa, Takayoshi 9 Romano, Vittorio 8 Cancès, Clément 8 Company, Rafael 8 Desvillettes, Laurent 8 Marcati, Pierangelo 8 Matthes, Daniel 8 Mei, Ming 8 Vazquez, Juan Luis 8 Xu, Jiang 8 Xu, Xiangsheng 8 Zatorska, Ewelina 7 Bendahmane, Mostafa 7 Burger, Martin 7 Dreher, Michael 7 Fu, Shengmao 7 Goudon, Thierry 7 Jódar Sanchez, Lucas Antonio 7 Li, Fucai 7 López, José Luis 7 McCann, Robert J. 7 Méhats, Florian 6 Alì, Giuseppe 6 Barletti, Luigi 6 Belopol’skaya, Yana Isaevna 6 Bessemoulin-Chatard, Marianne 6 Braukhoff, Marcel 6 Degond, Pierre 6 Di Francesco, Marco 6 Donatelli, Donatella 6 Düring, Bertram 6 Fellner, Klemens 6 Feng, Yuehong 6 Gualdani, Maria Pia 6 Kühn, Christian 6 Lacroix-Violet, Ingrid 6 Li, Yong 6 Pu, Xueke 6 Tan, Zhong 6 Tao, Youshan 6 Wang, Zhian 6 Wolfram, Marie-Therese 6 Yamamoto, Masakazu 6 Yu, Huimin 6 Zhang, Guojing 5 Blanchet, Adrien 5 Boudin, Laurent 5 Briant, Marc 5 Disser, Karoline 5 Esteban, Maria J. 5 Feireisl, Eduard 5 Hittmeir, Sabine 5 Jin, Hai-Yang 5 Kwon, Young-Sam 5 Liang, Bo 5 Moussa, Ayman 5 Nieto, Juanjo 5 Perthame, Benoît 5 Pietschmann, Jan-Frederik 5 Pintos, José Ramón 5 Sammartino, Marco Maria Luigi 5 Schmeiser, Christian 5 Suzuki, Masahiro 5 Tang, Tong 5 Tse, Oliver 5 Vasseur, Alexis F. 5 Vorotnikov, Dmitry A. 5 Wang, Yong 5 Wen, Zijuan 4 Alasio, Luca 4 Arnold, Anton 4 Bedrossian, Jacob 4 Biler, Piotr 4 Bonforte, Matteo ...and 1,076 more Authors
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#### Cited in 200 Serials

 78 Journal of Differential Equations 65 Journal of Mathematical Analysis and Applications 49 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Nonlinear Analysis. Real World Applications 31 SIAM Journal on Mathematical Analysis 24 Archive for Rational Mechanics and Analysis 23 Computers & Mathematics with Applications 23 Communications in Partial Differential Equations 22 Journal of Computational Physics 21 Discrete and Continuous Dynamical Systems 20 Numerische Mathematik 20 Applied Mathematics Letters 19 Journal of Mathematical Physics 19 Kinetic and Related Models 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Mathematical Methods in the Applied Sciences 16 Journal of Statistical Physics 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Journal of Computational and Applied Mathematics 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Applicable Analysis 11 Journal of Functional Analysis 11 Acta Applicandae Mathematicae 11 Mathematical and Computer Modelling 11 Discrete and Continuous Dynamical Systems. Series B 10 Applied Mathematics and Computation 9 Applied Numerical Mathematics 9 Journal of Nonlinear Science 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Chinese Annals of Mathematics. Series B 7 Communications in Mathematical Physics 7 Numerical Methods for Partial Differential Equations 7 Calculus of Variations and Partial Differential Equations 7 Communications on Pure and Applied Analysis 6 Physica D 6 Journal of Scientific Computing 6 Computational and Applied Mathematics 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Journal of Mathematical Fluid Mechanics 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Evolution Equations 6 Multiscale Modeling & Simulation 6 Journal of Hyperbolic Differential Equations 5 Mathematics and Computers in Simulation 5 SIAM Journal on Numerical Analysis 5 Journal of Dynamics and Differential Equations 5 SIAM Journal on Scientific Computing 5 Journal of Mathematical Sciences (New York) 5 NoDEA. Nonlinear Differential Equations and Applications 4 Monatshefte für Mathematik 4 Quarterly of Applied Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 International Journal of Computer Mathematics 4 Mathematical Problems in Engineering 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Acta Mathematica Sinica. English Series 4 Communications in Contemporary Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Mathematical Biology 3 Transport Theory and Statistical Physics 3 Mathematics of Computation 3 Studies in Applied Mathematics 3 European Journal of Applied Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Bulletin des Sciences Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Discrete Dynamics in Nature and Society 3 International Journal of Theoretical and Applied Finance 3 Annales Henri Poincaré 3 Journal of Applied Mathematics 3 Analysis and Applications (Singapore) 3 Boundary Value Problems 3 Science China. Mathematics 3 Journal of Elliptic and Parabolic Equations 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Mathematical Biosciences 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Optimization 2 Science in China. Series A 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Journal of Mathematical Imaging and Vision ...and 100 more Serials
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#### Cited in 39 Fields

 889 Partial differential equations (35-XX) 290 Fluid mechanics (76-XX) 287 Statistical mechanics, structure of matter (82-XX) 221 Numerical analysis (65-XX) 169 Biology and other natural sciences (92-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Optics, electromagnetic theory (78-XX) 46 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 33 Quantum theory (81-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Functional analysis (46-XX) 26 Classical thermodynamics, heat transfer (80-XX) 24 Ordinary differential equations (34-XX) 23 Operator theory (47-XX) 15 Real functions (26-XX) 14 Mechanics of deformable solids (74-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Systems theory; control (93-XX) 12 Information and communication theory, circuits (94-XX) 9 Integral equations (45-XX) 5 Difference and functional equations (39-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX)

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