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LeFloch, Philippe Gerard

Author ID: lefloch.philippe-g Recent zbMATH articles by "LeFloch, Philippe Gerard"
Published as: LeFloch, Philippe G.; Le Floch, Philippe; LeFloch, P. G.; Lefloch, Philippe G.; Le Floch, Philippe G.; LeFloch, Philippe; Lefloch, Philippe; LeFloch, Philippe Gerard; LeFloch, Phillippe; Le Floch, Ph.
Homepage: https://philippelefloch.org/
External Links: MGP · arXiv
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Co-Authors

30 single-authored
14 Coquel, Frédéric
10 Ma, Yue
9 Beyer, Florian
9 Mai Duc Thanh
8 Bedjaoui, Nabil
8 Mercier, Jean-Marc
7 Boutin, Benjamin
7 Joseph, Kayyunnapara Thomas
7 Okutmustur, Baver
7 Rohde, Christian
6 Amorim, Paulo
6 Chalons, Christophe
6 Chen, Gui-Qiang G.
6 Le Floch, Bruno
5 Baiti, Paolo
5 Beljadid, Abdelaziz
5 Piccoli, Benedetto
5 Xiang, Shuyang
4 Colombo, Rinaldo M.
4 Goatin, Paola
4 Hayes, Brian T.
4 Mishra, Siddhartha
4 Parés Madroñal, Carlos
4 Raviart, Pierre-Arnaud
4 Smulevici, Jacques
3 Ames, Ellery
3 Ben-Artzi, Matania
3 Correia, Joaquim M. C.
3 Dias, João-Paulo
3 Dong, Shijie
3 Dubois, François
3 Grubic, Nastasia
3 Hou, Thomas Yizhao
3 Isenberg, James A.
3 Mardare, Cristinel
3 Nédélec, Jean-Claude
3 Stewart, John M.
2 Bakhtin, Yuri Yu.
2 Berthon, Christophe
2 Bourgeade, Antoine
2 Bressan, Alberto
2 Burtscher, Annegret Y.
2 Cao, Yangyang
2 Castro, Manuel J.
2 Ceylan, Tuba
2 Chen, Binglong
2 Cockburn, Bernardo
2 Ghazizadeh, Mohammad A.
2 Grant, James D. E.
2 Karjoun, Hasan
2 Kondo, Cezar I.
2 Kröner, Dietmar
2 Laforest, Marc
2 Lagoutière, Frédéric
2 Li, Tatsien
2 Liu, Jianguo
2 Makhlof, Hasan
2 Muñoz-Ruiz, María Luz
2 Neves, Wladimir
2 Nguyen, The-Cang
2 Tesdall, Allen M.
2 Trivisa, Konstantina
2 Tzavaras, Athanasios E.
2 Veneziano, Gabriele
2 Wei, Changhua
1 Amadori, Debora
1 Ambrosio, Luigi
1 Ambroso, Annalisa
1 Barnes, A. P.
1 Beig, Robert
1 Bereux, François
1 Bernardi, Christine
1 Bonnetier, Eric
1 Boscarino, Sebastiano
1 Choudhury, Anupam Pal
1 Crasta, Graziano
1 Crippa, Gianluca
1 Dal Maso, Gianni
1 Du, Qiang
1 Ernest, Jan
1 Falcovitz, Joseph
1 Figueira, Mário S. R.
1 Forestier, Alain
1 Frid, Hermano
1 Georgiev, Svetlin Georgiev
1 Germain, Pierre
1 Giesselmann, Jan
1 Glass, Olivier
1 Godlewski, Edwige
1 Hong, John Meng-Kai
1 Hu, Jiaxin
1 Huang, Zhan
1 Iguchi, Tatsuo
1 Jang, Juhi
1 Kardhashi, Eva
1 Kissling, Frederike
1 Klingenberg, Christian
1 Lee, Dan Archibald
1 Lei, Zhen
1 Liu, Tai-Ping
...and 34 more Co-Authors
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Serials

15 Archive for Rational Mechanics and Analysis
11 Comptes Rendus de l’Académie des Sciences. Série I
11 Portugaliae Mathematica. Nova Série
10 Journal of Differential Equations
9 Journal of Computational Physics
9 SIAM Journal on Numerical Analysis
8 Classical and Quantum Gravity
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematics of Computation
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 SIAM Journal on Mathematical Analysis
4 Communications in Partial Differential Equations
4 Communications in Mathematical Sciences
4 Oberwolfach Reports
4 Communications in Computational Physics
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Numerische Mathematik
3 Journal of Scientific Computing
3 Communications on Pure and Applied Analysis
3 Journal of Hyperbolic Differential Equations
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Geometry and Physics
2 Indiana University Mathematics Journal
2 Journal of Functional Analysis
2 Chinese Annals of Mathematics. Series B
2 Japan Journal of Industrial and Applied Mathematics
2 Matemática Contemporânea
2 Interfaces and Free Boundaries
2 Annales Henri Poincaré
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications in Applied Mathematics and Computational Science
2 Networks and Heterogeneous Media
2 Series in Applied and Computational Mathematics
1 Nonlinearity
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Asymptotic Analysis
1 Forum Mathematicum
1 IMPACT of Computing in Science and Engineering
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 SIAM Journal on Scientific Computing
1 Communications in Analysis and Geometry
1 Séminaire Équations aux Dérivées Partielles
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Methods and Applications of Analysis
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Advances in Theoretical and Mathematical Physics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Far East Journal of Mathematical Sciences
1 Journal of High Energy Physics
1 Journal of Evolution Equations
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Analysis and Applications (Singapore)
1 Acta Numerica
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Applied Mathematical Sciences
1 Kinetic and Related Models
1 Analysis & PDE
1 International Journal of Dynamical Systems and Differential Equations
1 Differential Equations and Applications
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Nonlinear Analysis. Theory, Methods & Applications
1 Portugaliae Mathematica

Publications by Year

Citations contained in zbMATH Open

206 Publications have been cited 3,830 times in 1,945 Documents Cited by Year
Definition and weak stability of nonconservative products. Zbl 0853.35068
Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François
387
1995
Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. Zbl 1019.35001
LeFloch, Philippe G.
215
2002
Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0649.35057
Dubois, François; Le Floch, Philippe
120
1988
Why nonconservative schemes converge to wrong solutions: Error analysis. Zbl 0809.65102
Hou, Thomas Y.; Le Floch, Philippe G.
113
1994
Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos
107
2008
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
95
2002
An existence and uniqueness result for two nonstrictly hyperbolic systems. Zbl 0727.35083
Le Floch, Philippe
80
1990
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
73
2004
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
70
2003
Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form. Zbl 0683.35049
Le Floch, Philippe
60
1988
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. Zbl 1453.35150
LeFloch, Philippe G.; Thanh, Mai Duc
58
2011
Non-classical shocks and kinetic relations: Scalar conservation laws. Zbl 0902.76053
Hayes, Brian T.; LeFloch, Philippe G.
56
1997
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
56
2007
Conservation laws with vanishing nonlinear diffusion and dispersion. Zbl 0923.35159
LeFloch, Philippe G.; Natalini, Roberto
54
1999
Existence theory for nonlinear hyperbolic systems in nonconservative form. Zbl 0804.35086
Le Floch, Philippe; Liu, Tai-Ping
48
1993
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
48
1988
The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. Zbl 1359.83003
LeFloch, Philippe G.; Ma, Yue
45
2016
Measure solutions to a strictly hyperbolic system of conservation laws. Zbl 0908.35075
Hayes, Brian T.; LeFloch, Philippe G.
44
1996
Representation of weak limits and definition of nonconservative products. Zbl 0939.35115
LeFloch, Philippe G.; Tzavaras, Athanasios E.
42
1999
Propagating phase boundaries: Formulation of the problem and existence via the Glimm method. Zbl 0784.73010
Le Floch, Philippe
42
1993
Uniqueness of weak solutions to systems of conservation laws. Zbl 0903.35039
Bressan, Alberto; LeFloch, Philippe
41
1997
Convergence of the finite volume method for multidimensional conservation laws. Zbl 0845.65051
Cockburn, B.; Coquel, F.; LeFloch, P. G.
39
1995
Explicit formula for scalar nonlinear conservation laws with boundary condition. Zbl 0679.35065
Le Floch, Philippe
38
1988
The hyperboloidal foliation method. Zbl 1320.53001
LeFloch, Philippe G.; Ma, Yue
37
2014
An error estimate for finite volume methods for multidimensional conservation laws. Zbl 0855.65103
Cockburn, Bernardo; Coquel, Frédéric; LeFloch, Philippe
36
1994
An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics. Zbl 0703.35106
Bourgeade, A.; Le Floch, Ph.; Raviart, P. A.
36
1989
Nonclassical shocks and kinetic relations: Strictly hyperbolic systems. Zbl 0953.35095
Hayes, Brian T.; LeFloch, Philippe G.
35
2000
Finite energy solutions to the isentropic Euler equations with geometric effects. Zbl 1188.35150
LeFloch, Philippe G.; Westdickenberg, Michael
35
2007
Existence theory for the isentropic Euler equations. Zbl 1027.76043
Chen, Gui-Qiang; LeFloch, Philippe G.
35
2003
Definition and stability of Lorentzian manifolds with distributional curvature. Zbl 1144.35311
LeFloch, Philippe G.; Mardare, Cristinel
34
2007
Compressible Euler equations with general pressure law. Zbl 0970.76082
Chen, Gui-Qiang; LeFloch, Philippe G.
34
2000
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048
Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc
34
2008
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
33
2000
High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455
Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni
33
2014
Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240
Germain, Pierre; Lefloch, Philippe
32
2016
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. Zbl 1138.35055
Ben-Artzi, Matania; LeFloch, Philippe G.
26
2007
Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078
LeFloch, Philippe G.
26
2004
The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005
LeFloch, Philippe G.; Ma, Yue
26
2018
Zero diffusion-dispersion limits for scalar conservation laws. Zbl 1055.35072
Kondo, Cezar I.; LeFloch, Philippe G.
24
2002
Convergence of finite difference schemes for conservation laws in several space dimensions: The corrected antidiffusive flux approach. Zbl 0741.35036
Coquel, Frédéric; Le Floch, Philippe
24
1991
Diffusive-dispersive travelling waves and kinetic relations. II: A hyperbolic-elliptic model of phase-transition dynamics. Zbl 1082.35104
Bedjaoui, Nabil; LeFloch, Philippe G.
24
2002
Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws. Zbl 1001.35082
Bedjaoui, Nabil; LeFloch, Philippe G.
23
2002
Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws. Zbl 0932.35139
Bressan, Alberto; LeFloch, Philippe G.
23
1999
Existence theory for hyperbolic systems of conservation laws with general flux-functions. Zbl 1036.35130
Iguchi, Tatsuo; LeFloch, Philippe G.
22
2003
Convergence of finite difference schemes for conservation laws in several space dimensions: A general theory. Zbl 0781.65078
Coquel, Frédéric; Le Floch, Philippe
22
1993
Boundary layers in weak solutions of hyperbolic conservation laws. Zbl 0959.35119
Joseph, K. T.; LeFloch, P. G.
22
1999
Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025
Beyer, Florian; LeFloch, Philippe G.
22
2010
The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028
LeFloch, Philippe G.; Stewart, John M.
21
2011
Nonclassical shocks and kinetic relations: Finite difference schemes. Zbl 0938.35096
Hayes, Brian T.; LeFloch, Philippe G.
21
1998
The hyperbolic mean curvature flow. Zbl 1159.53025
LeFloch, Philippe G.; Smoczyk, Knut
21
2008
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190
Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G.
21
2012
Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes. Zbl 1272.83009
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
20
2013
Diffusive-dispersive travelling waves and kinetic relations. V: Singular diffusion and nonlinear dispersion. Zbl 1065.35182
Bedjaoui, Nabil; LeFloch, Philippe G.
20
2004
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
20
2014
Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader
20
2016
Non-classical Riemann solvers and kinetic relations. II: An hyperbolic-elliptic model of phase-transition dynamics. Zbl 1021.35073
LeFloch, Philippe G.; Tanh, Mai Duc
19
2002
An introduction to nonclassical shocks of systems of conservation laws. Zbl 0929.35088
LeFloch, Philippe G.
19
1999
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
19
2009
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
19
2005
Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method. Zbl 1114.35121
Amorim, Paulo; Ben-Artzi, Matania; LeFloch, Philippe G.
17
2005
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). Zbl 1256.35165
LeFloch, Philippe G.; Rendall, Alan D.
17
2011
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372
Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G.
17
2009
The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058
LeFloch, Philippe G.; Sormani, Christina
17
2015
The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062
Lee, Dan A.; LeFloch, Philippe G.
17
2015
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver
17
2012
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
17
2013
Computational method for propagating phase boundaries. Zbl 0855.73080
Zhong, Xiaoguang; Hou, Thomas Y.; LeFloch, Philippe G.
16
1996
Uniqueness via the adjoint problems for systems of conservation laws. Zbl 0797.35116
Le Floch, Philippe; Xin, Zhouping
16
1993
Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196
Du, Qiang; Huang, Zhan; LeFloch, Philippe G.
16
2017
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Zbl 0915.35069
LeFloch, Philippe G.; Liu, Jian-Guo
15
1999
Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. Zbl 1264.76055
LeFloch, Philippe G.; Mohammadian, Majid
15
2008
Diffusive-dispersive traveling waves and kinetic relations. III: An hyperbolic model of elastodynamics. Zbl 1119.35340
Bedjaoui, Nabil; LeFloch, Philippe G.
14
2001
Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver
14
2008
The Glimm scheme for perfect fluids on plane-symmetric Gowdy spacetimes. Zbl 1080.83011
Barnes, A. P.; LeFloch, P. G.; Schmidt, B. G.; Stewart, J. M.
14
2004
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G.
14
2008
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004
Burtscher, Annegret Y.; LeFloch, Philippe G.
14
2014
Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. Zbl 1469.35182
Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe
14
2021
Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids. Zbl 0962.35121
LeFloch, Philippe G.; Mai Duc Thanh
13
2000
High-order entropy-conservative schemes and kinetic relations for van der Waals fluids. Zbl 1074.76583
Chalons, C.; LeFloch, P. G.
13
2001
An entropy satisfying MUSCL scheme for systems of conservation laws. Zbl 0860.65076
Coquel, Frédéric; LeFloch, Philippe G.
13
1996
Multivalued solutions to some nonlinear and non-strictly hyperbolic systems. Zbl 0768.35058
Forestier, Alain; Le Floch, Philippe
13
1992
Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits. Zbl 1020.35055
Joseph, K. T.; LeFloch, Philippe G.
13
2002
A version of the Glimm method based on generalized Riemann problems. Zbl 1125.35003
Hong, John M.; LeFloch, Philippe G.
13
2007
Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235
LeFloch, Philippe G.
13
2010
Diffusive-dispersive traveling waves and kinetic relations. IV: Compressible Euler equations. Zbl 1033.35074
Bedjaoui, N.; LeFloch, P. G.
12
2003
A level-set approach to the computation of twinning and phase-transition dynamics. Zbl 0936.74052
Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe
11
1999
Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302
LeFloch, Philippe G.; Shelukhin, Vladimir
11
2005
Injectivity radius of Lorentzian manifolds. Zbl 1156.53040
Chen, Bing-Long; LeFloch, Philippe G.
11
2008
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. Zbl 1354.35105
LeFloch, Philippe G.; Xiang, Shuyang
11
2016
Nonclassical Riemann solvers with nucleation. Zbl 1090.35121
LeFloch, P. G.; Shearer, M.
11
2004
Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299
Beyer, Florian; LeFloch, Philippe G.
11
2017
A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. Zbl 1376.83006
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
11
2017
A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135
Le Floch, Philippe G.; Makhlof, Hasan
11
2014
A fully discrete scheme for diffusive-dispersive conservation laws. Zbl 1013.65096
Chalons, C.; LeFloch, P. G.
10
2001
Nonclassical Riemann solvers and kinetic relations. I: A nonconvex hyperbolic model of phase transitions. Zbl 1020.35056
LeFloch, Philippe G.; Mai Duc Thanh
10
2001
Properties of Rankine-Hugoniot curves for van der Waals fluids. Zbl 1044.76029
LeFloch, Philippe G.; Mai Duc Thanh
10
2003
Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250
LeFloch, Philippe G.; Okutmustur, Baver
10
2008
A global asymptotic expansion for the solution to the generalized Riemann problem. Zbl 0731.35006
Le Floch, Philippe; Li, Tatsien
10
1990
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. Zbl 1178.35251
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir
10
2009
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
10
2017
Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model. Zbl 1517.83063
LeFloch, Philippe G.; Ma, Yue
4
2023
The seed-to-solution method for the Einstein constraints and the asymptotic localization problem. Zbl 07729959
LeFloch, Philippe G.; Nguyen, The-Cang
1
2023
Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces. Zbl 1522.83443
Le Floch, Bruno; LeFloch, Philippe G.; Veneziano, Gabriele
4
2022
A structure-preserving algorithm for surface water flows with transport processes. Zbl 1489.65128
Karjoun, Hasan; Beljadid, Abdelaziz; LeFloch, Philippe G.
3
2022
Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime. Zbl 1515.83035
LeFloch, Philippe G.; Ma, Yue
3
2022
Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. Zbl 1469.35182
Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe
14
2021
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026
LeFloch, Philippe G.; Wei, Changhua
9
2021
Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
2
2021
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. Zbl 1484.65183
LeFloch, Philippe G.; Ranocha, Hendrik
1
2021
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. Zbl 07511457
Beyer, Florian; LeFloch, Philippe G.
1
2021
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. Zbl 1480.76166
Cao, Yangyang; Ghazizadeh, Mohammad A.; LeFloch, Philippe G.
1
2021
Nonlinear stability of blow-up solutions to the hyperbolic mean curvature flow. Zbl 1442.35047
LeFloch, Philippe G.; Yan, Weiping
4
2020
Compensated compactness and corrector stress tensor for the Einstein equations in \(\mathbb{T}^2\) symmetry. Zbl 1469.83008
Le Floch, Bruno; Lefloch, Philippe G.
3
2020
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Zbl 1436.65122
Giesselmann, Jan; LeFloch, Philippe G.
2
2020
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions. Zbl 1506.65049
LeFloch, Philippe G.; Mercier, Jean-Marc
1
2020
On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry. Zbl 1416.83034
Le Floch, Bruno; Le Floch, Philippe G.
5
2019
Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere. Zbl 1441.58015
Beljadid, Abdelaziz; LeFloch, Philippe G.; Mohammadian, Abdolmajid
4
2019
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II. Zbl 1411.35201
LeFloch, Philippe G.; Xiang, Shuyang
4
2019
Convergence of the finite volume method on a Schwarzschild background. Zbl 1435.35381
Dong, Shijie; LeFloch, Philippe G.
1
2019
The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005
LeFloch, Philippe G.; Ma, Yue
26
2018
A finite volume method for the relativistic Burgers equation on a FLRW background spacetime. Zbl 1488.65328
Ceylan, Tuba; LeFloch, Philippe G.; Okutmustur, Baver
7
2018
Boundedness of the total energy of relativistic membranes evolving in a curved spacetime. Zbl 1390.35357
LeFloch, Philippe G.; Wei, Changhua
6
2018
A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063
LeFloch, Philippe; Xiang, Shuyang
3
2018
Ergodicity and Hopf-Lax-Oleinik formula for fluid flows evolving around a black hole under a random forcing. Zbl 1421.35362
Bakhtin, Yuri; LeFloch, Philippe G.
2
2018
A new approach to the Cauchy and Goursat problems for the nonlinear Wheeler-DeWitt equation. Zbl 1391.83138
Dias, João-Paulo; LeFloch, Philippe G.
1
2018
Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196
Du, Qiang; Huang, Zhan; LeFloch, Philippe G.
16
2017
Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299
Beyer, Florian; LeFloch, Philippe G.
11
2017
A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. Zbl 1376.83006
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
11
2017
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
10
2017
A new method for solving Kolmogorov equations in mathematical finance. (Une nouvelle méthode pour résoudre les équations de Kolmogorov en finance mathématique.) Zbl 1419.91651
LeFloch, Philippe G.; Mercier, Jean-Marc
3
2017
The mathematical validity of the \(f(R)\) theory of modified gravity. Zbl 1372.83003
LeFloch, Philippe G.; Ma, Yue
1
2017
The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. Zbl 1359.83003
LeFloch, Philippe G.; Ma, Yue
45
2016
Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240
Germain, Pierre; Lefloch, Philippe
32
2016
Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader
20
2016
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. Zbl 1354.35105
LeFloch, Philippe G.; Xiang, Shuyang
11
2016
The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field. (Stabilité non linéaire globale de l’espace-temps de Minkowski pour les champs massifs.) Zbl 1347.83008
LeFloch, Philippe G.; Ma, Yue
7
2016
Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes. Zbl 1342.83010
Lefloch, Philippe; Smulevici, Jacques
6
2016
Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes. Zbl 1331.35341
LeFloch, Philippe G.; Smulevici, Jacques
3
2016
The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058
LeFloch, Philippe G.; Sormani, Christina
17
2015
The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062
Lee, Dan A.; LeFloch, Philippe G.
17
2015
Coupling techniques for nonlinear hyperbolic equations. IV: Well-balanced schemes for scalar multi-dimensional and multi-component laws. Zbl 1310.65097
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
5
2015
Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments. Zbl 1321.83010
LeFloch, Philippe G.; Smulevici, Jacques
5
2015
On the area of the symmetry orbits in weakly regular Einstein-Euler spacetimes with Gowdy symmetry. Zbl 1320.83022
Grubic, Nastasia; LeFloch, Philippe G.
5
2015
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha
4
2015
Revisiting the method of characteristics via a convex hull algorithm. Zbl 1349.76623
LeFloch, Philippe G.; Mercier, Jean-Marc
3
2015
Existence and uniqueness results for the pressureless Euler-Poisson system in one spatial variable. Zbl 1343.35162
LeFloch, Philippe G.; Xiang, Shuyang
3
2015
The mathematical theory of self-similar boundary layers for nonlinear hyperbolic systems with viscosity and capillarity. Zbl 1343.35160
Choudhury, Anupam Pal; Joseph, K. T.; LeFloch, Philippe G.
1
2015
The hyperboloidal foliation method. Zbl 1320.53001
LeFloch, Philippe G.; Ma, Yue
37
2014
High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455
Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni
33
2014
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
20
2014
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004
Burtscher, Annegret Y.; LeFloch, Philippe G.
14
2014
A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135
Le Floch, Philippe G.; Makhlof, Hasan
11
2014
The equations of elastostatics in a Riemannian manifold. Zbl 1307.74019
Grubic, Nastasia; LeFloch, Philippe G.; Mardare, Cristinel
8
2014
Structure-preserving shock-capturing methods: late-time asymptotics, curved geometry, small-scale dissipation, and nonconservative products. Zbl 1304.76041
LeFloch, Philippe G.
4
2014
Null injectivity estimate under an upper bound on the curvature. Zbl 1334.53075
Grant, James D. E.; LeFloch, Philippe G.
3
2014
Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes. Zbl 1272.83009
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
20
2013
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
17
2013
Quasilinear symmetric hyperbolic Fuchsian systems in several space dimensions. Zbl 1320.35193
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
9
2013
Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation. Zbl 1266.83027
Grubic, Nastasia; LeFloch, Philippe G.
7
2013
Coupling techniques for nonlinear hyperbolic equations. III: The well-balanced approximation of thick interfaces. Zbl 1371.35172
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
6
2013
Hyperbolic balance laws with entropy on a curved spacetime: the weak-strong uniqueness theory. Zbl 1288.35344
LeFloch, Philippe G.
3
2013
The linear stability of shock waves for the nonlinear Schrödinger-inviscid Burgers system. Zbl 1307.35271
Amorim, Paulo; Dias, João-Paulo; Figueira, Mário; LeFloch, Philippe G.
2
2013
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190
Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G.
21
2012
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver
17
2012
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. Zbl 1453.35150
LeFloch, Philippe G.; Thanh, Mai Duc
58
2011
The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028
LeFloch, Philippe G.; Stewart, John M.
21
2011
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). Zbl 1256.35165
LeFloch, Philippe G.; Rendall, Alan D.
17
2011
Plane-symmetric spacetimes with positive cosmological constant: the case of stiff fluids. Zbl 1247.83012
LeFloch, Philippe G.; Tchapnda, Sophonie B.
5
2011
Coupling techniques for nonlinear hyperbolic equations. I: Self-similar diffusion for thin interfaces. Zbl 1252.35188
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
5
2011
A geometric approach to error estimates for conservation laws posed on a spacetime. Zbl 1221.35229
Amorim, Paulo; LeFloch, Philippe G.; Neves, Wladimir
4
2011
Hyperbolic conservation laws on spacetimes. Zbl 1248.35124
LeFloch, Philippe G.
4
2011
Einstein spacetimes with weak regularity. Zbl 1234.53006
LeFloch, Philippe G.
1
2011
Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025
Beyer, Florian; LeFloch, Philippe G.
22
2010
Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235
LeFloch, Philippe G.
13
2010
Uniqueness of Kottler spacetime and the Besse conjecture. (Unicité de l’espace-temps de Kottler et conjecture de Besse.) Zbl 1202.83068
LeFloch, Philippe G.; Rozoy, Luc
6
2010
Existence of naked singularities in the Brans-Dicke theory of gravitation. An analytical and numerical study. Zbl 1208.83081
Bedjaoui, Nabil; LeFloch, Philippe G.; Martín-García, José M.; Novak, Jérôme
4
2010
Global geometry of \(T^2\)-symmetric spacetimes with weak regularity. Zbl 1205.83017
LeFloch, Philippe G.; Smulevici, Jacques
4
2010
Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. Zbl 1207.35219
Laforest, Marc; LeFloch, Philippe G.
2
2010
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
19
2009
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372
Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G.
17
2009
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. Zbl 1178.35251
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir
10
2009
Local foliations and optimal regularity of Einstein spacetimes. Zbl 1179.53069
Chen, Bing-Long; LeFloch, Philippe G.
6
2009
Computing Gowdy spacetimes via spectral evolution in future and past directions. Zbl 1158.83301
Amorim, Paulo; Bernardi, Christine; LeFloch, Philippe G.
3
2009
Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity. Zbl 1161.53063
Lefloch, Philippe G.; Mardare, Cristinel; Mardare, Sorin
3
2009
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
3
2009
Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301
LeFloch, Philippe G.; Mishra, Siddhartha
3
2009
Generalized time-periodic solutions to the Euler equations of compressible fluids. Zbl 1169.35368
Georgiev, Svetlin; Lefloch, Philippe G.
1
2009
Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos
107
2008
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048
Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc
34
2008
The hyperbolic mean curvature flow. Zbl 1159.53025
LeFloch, Philippe G.; Smoczyk, Knut
21
2008
Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. Zbl 1264.76055
LeFloch, Philippe G.; Mohammadian, Majid
15
2008
Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver
14
2008
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G.
14
2008
Injectivity radius of Lorentzian manifolds. Zbl 1156.53040
Chen, Bing-Long; LeFloch, Philippe G.
11
2008
Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250
LeFloch, Philippe G.; Okutmustur, Baver
10
2008
Hyperbolic conservation laws and spacetimes with limited regularity. Zbl 1140.35301
LeFloch, P. G.
4
2008
Hyperbolic conservation laws on manifolds with limited regularity. Zbl 1145.35428
LeFloch, Philippe G.; Okutmustur, Baver
4
2008
Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature. Zbl 1191.53052
LeFloch, Philippe G.
3
2008
Mini-workshop: Hyperbolic aspects of phase transition dynamics. Abstracts from the mini-workshop held February 24 – March 1, 2008. Zbl 1177.35008
1
2008
Coupling two scalar conservation laws via Dafermos’ self-similar regularization. Zbl 1391.35269
Ambroso, A.; Boutin, B.; Coquel, F.; Godlewski, E.; LeFloch, P. G.
1
2008
...and 106 more Documents
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Cited by 1,964 Authors

101 LeFloch, Philippe Gerard
46 Mai Duc Thanh
45 Dumbser, Michael
42 Coclite, Giuseppe Maria
35 Di Ruvo, Lorenzo
31 Parés Madroñal, Carlos
28 Toro, Eleuterio Francisco
27 Chalons, Christophe
26 Chen, Gui-Qiang G.
24 Castro, Manuel J.
22 Yang, Hanchun
21 Berthon, Christophe
21 Sarrico, Carlos Orlando R.
20 Hérard, Jean-Marc
20 Rohde, Christian
19 Colombo, Rinaldo M.
18 Coquel, Frédéric
17 Shao, Zhiqiang
16 Castro-Díaz, Manuel Jesús
16 Mishra, Siddhartha
15 Corli, Andrea
15 Gosse, Laurent
15 Karlsen, Kenneth Hvistendahl
15 Shen, Chun
15 Sun, Meina
14 Bürger, Raimund
14 Goatin, Paola
14 Seguin, Nicolas
13 Cheng, Hongjun
13 Dong, Shijie
13 Fernández-Nieto, Enrique Domingo
13 Gassner, Gregor J.
12 Bressan, Alberto
12 Cuong, Dao Huy
12 Hong, John Meng-Kai
12 Mitrovic, Darko
12 Morales de Luna, Tomás
12 Rosini, Massimiliano Daniele
12 Russo, Giovanni
11 Boscarino, Sebastiano
11 Kröner, Dietmar
11 Li, Jiequan
11 Li, Shiwei
11 Ma, Yue
11 Ranocha, Hendrik
11 Sheng, Wancheng
11 Tang, Huazhong
11 Wei, Changhua
10 Giesselmann, Jan
10 Gowda, G. D. Veerappa
10 Joseph, Kayyunnapara Thomas
10 Kurganov, Alexander
10 Montecinos, Gino I.
10 Mulet, Pep
10 Risebro, Nils Henrik
10 Shu, Chi-Wang
10 Winters, Andrew R.
9 Abgrall, Rémi
9 Andreianov, Boris
9 Balsara, Dinshaw S.
9 Chugaĭnova, Anna Pavlova
9 Després, Bruno
9 Dias, João-Paulo
9 Dubey, Ritesh Kumar
9 Liu, Tiegang
9 Raviart, Pierre-Arnaud
9 Speck, Jared
9 Tadmor, Eitan
8 Ancona, Fabio
8 Beyer, Florian
8 Bouchut, François
8 Brull, Stephane
8 Du, Qiang
8 Frid, Hermano
8 Garavello, Mauro
8 Godlewski, Edwige
8 Lu, Yunguang
8 Murillo, Javier
8 Nkonga, Boniface
8 Piccoli, Benedetto
8 Smulevici, Jacques
8 Steinbauer, Roland
8 Svärd, Magnus
8 Wang, Zenggui
7 Aguillon, Nina
7 Amadori, Debora
7 Ben-Artzi, Matania
7 Chandrashekar, Praveen
7 Disconzi, Marcelo Mendes
7 Duan, Junming
7 Gallardo, José M.
7 Klingenberg, Christian
7 Kunzinger, Michael
7 Lagoutière, Frédéric
7 Müller, Siegfried
7 Munz, Claus-Dieter
7 Oliynyk, Todd Andrew
7 Parsani, Matteo
7 Renac, Florent
7 Sahoo, Manas Ranjan
...and 1,864 more Authors
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Cited in 270 Serials

211 Journal of Computational Physics
99 Journal of Differential Equations
75 Journal of Hyperbolic Differential Equations
68 Journal of Scientific Computing
59 Computers and Fluids
46 Journal of Mathematical Analysis and Applications
42 Mathematics of Computation
38 Archive for Rational Mechanics and Analysis
38 Applied Mathematics and Computation
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
32 ZAMP. Zeitschrift für angewandte Mathematik und Physik
31 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
30 Computer Methods in Applied Mechanics and Engineering
28 Journal of Mathematical Physics
23 Nonlinear Analysis. Real World Applications
22 Communications in Mathematical Physics
22 Applied Numerical Mathematics
21 SIAM Journal on Mathematical Analysis
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
18 SIAM Journal on Numerical Analysis
18 Communications in Computational Physics
17 Classical and Quantum Gravity
17 Quarterly of Applied Mathematics
17 Communications in Partial Differential Equations
17 SIAM Journal on Scientific Computing
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Annales Henri Poincaré
15 Computers & Mathematics with Applications
15 Mathematical Methods in the Applied Sciences
15 Numerische Mathematik
14 Networks and Heterogeneous Media
13 Journal of Computational and Applied Mathematics
12 Acta Applicandae Mathematicae
12 Physica D
12 SIAM Journal on Applied Mathematics
12 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
12 Communications on Pure and Applied Analysis
11 General Relativity and Gravitation
11 Numerical Methods for Partial Differential Equations
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Communications in Nonlinear Science and Numerical Simulation
10 Applicable Analysis
10 BIT
10 Transactions of the American Mathematical Society
10 Chinese Annals of Mathematics. Series B
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Bulletin of the Brazilian Mathematical Society. New Series
10 Communications on Applied Mathematics and Computation
9 Discrete and Continuous Dynamical Systems
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 International Journal on Finite Volumes
8 Journal of Fluid Mechanics
8 Nonlinearity
8 Applied Mathematics Letters
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Communications on Pure and Applied Mathematics
7 Journal of Geometry and Physics
7 Journal of Elasticity
7 Abstract and Applied Analysis
7 Multiscale Modeling & Simulation
7 Oberwolfach Reports
7 Science China. Mathematics
6 International Journal for Numerical Methods in Fluids
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6 Calculus of Variations and Partial Differential Equations
6 Discrete and Continuous Dynamical Systems. Series B
6 Portugaliae Mathematica. Nova Série
6 Advances in Applied Mathematics and Mechanics
6 Annals of PDE
5 Indian Journal of Pure & Applied Mathematics
5 Letters in Mathematical Physics
5 Journal of Functional Analysis
5 Mathematics and Computers in Simulation
5 Journal of Dynamics and Differential Equations
5 Russian Journal of Mathematical Physics
5 Advances in Computational Mathematics
5 Journal of Mathematical Fluid Mechanics
5 Interfaces and Free Boundaries
5 Journal of the European Mathematical Society (JEMS)
5 Acta Mathematica Sinica. English Series
5 Computational Geosciences
5 Differential Equations
5 Journal of Evolution Equations
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Acta Numerica
5 Mathematical Biosciences and Engineering
5 Analysis & PDE
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of the Mechanics and Physics of Solids
4 Advances in Mathematics
4 Mathematische Annalen
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 The Journal of Geometric Analysis
4 Computational Mathematics and Mathematical Physics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 International Journal of Computational Fluid Dynamics
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
4 Taiwanese Journal of Mathematics
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Cited in 47 Fields

1,374 Partial differential equations (35-XX)
944 Fluid mechanics (76-XX)
677 Numerical analysis (65-XX)
168 Relativity and gravitational theory (83-XX)
133 Differential geometry (53-XX)
109 Mechanics of deformable solids (74-XX)
64 Operations research, mathematical programming (90-XX)
54 Global analysis, analysis on manifolds (58-XX)
48 Statistical mechanics, structure of matter (82-XX)
35 Functional analysis (46-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
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31 Biology and other natural sciences (92-XX)
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19 Astronomy and astrophysics (85-XX)
17 Ordinary differential equations (34-XX)
17 Systems theory; control (93-XX)
16 Optics, electromagnetic theory (78-XX)
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11 Integral equations (45-XX)
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3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
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1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
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