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## LeFloch, Philippe Gerard

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 Author ID: lefloch.philippe-g Published as: Le Floch, Ph.; Le Floch, Philippe; Le Floch, Philippe G.; LeFloch, P. G.; LeFloch, Philippe; LeFloch, Philippe G.; LeFloch, Philippe Gerard; LeFloch, Phillippe; Lefloch, Philippe; Lefloch, Philippe G. Homepage: https://philippelefloch.org/ External Links: MGP · arXiv
 Documents Indexed: 216 Publications since 1985, including 3 Books
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#### Co-Authors

 26 single-authored 13 Coquel, Frédéric 8 Bedjaoui, Nabil 8 Mai Duc Thanh 7 Joseph, Kayyunnapara Thomas 7 Rohde, Christian 6 Amorim, Paulo 6 Boutin, Benjamin 6 Chalons, Christophe 6 Chen, Gui-Qiang G. 5 Baiti, Paolo 5 Beyer, Florian 5 Ma, Yue 5 Okutmustur, Baver 5 Piccoli, Benedetto 4 Colombo, Rinaldo M. 4 Goatin, Paola 4 Hayes, Brian T. 4 Mishra, Siddhartha 4 Raviart, Pierre-Arnaud 4 Smulevici, Jacques 4 Xiang, Shuyang 3 Ames, Ellery 3 Ben-Artzi, Matania 3 Correia, Joaquim M. C. 3 Dias, João-Paulo 3 Dubois, François 3 Grubic, Nastasia 3 Hou, Thomas Yizhao 3 Isenberg, James A. 3 Mardare, Cristinel 3 Mercier, Jean-Marc 3 Nédélec, Jean-Claude 3 Parés Madroñal, Carlos 2 Beljadid, Abdelaziz 2 Berthon, Christophe 2 Bourgeade, Antoine 2 Bressan, Alberto 2 Burtscher, Annegret Y. 2 Castro, Manuel J. 2 Chen, Binglong 2 Cockburn, Bernardo 2 Dong, Shijie 2 Grant, James D. E. 2 Kondo, Cezar I. 2 Kröner, Dietmar 2 Lagoutière, Frédéric 2 Li, Tatsien 2 Liu, Jianguo 2 Makhlof, Hasan 2 Muñoz-Ruiz, María Luz 2 Neves, Wladimir 2 Stewart, John M. 2 Trivisa, Konstantina 2 Tzavaras, Athanasios E. 2 Wei, Changhua 1 Amadori, Debora 1 Ambrosio, Luigi 1 Ambroso, Annalisa 1 Bakhtin, Yuri Yu. 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 Kissling, Frederike 1 Klingenberg, Christian 1 Laforest, Marc 1 Le Floch, Bruno 1 Lee, Dan Archibald 1 Liu, Tai-Ping 1 Mardare, Sorin 1 Martín-García, José Maria 1 Masmoudi, Nader 1 Mohammadian, Abdolmajid M. 1 Mohammadian, Majid 1 Murat, François 1 Natalini, Roberto 1 Novak, Jérôme 1 Olsson, Fredrik ...and 19 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 9 Journal of Differential Equations 9 SIAM Journal on Numerical Analysis 9 Portugaliae Mathematica. Nova Série 8 Journal of Computational Physics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Classical and Quantum Gravity 6 Mathematics of Computation 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 4 Communications in Mathematical Sciences 4 Oberwolfach Reports 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Numerische Mathematik 3 Communications in Partial Differential Equations 3 Communications on Pure and Applied Analysis 3 Journal of Hyperbolic Differential Equations 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 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 Computational Physics 2 Series in Applied and Computational Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinearity 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Journal of Functional Analysis 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 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 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 Communications in Applied Mathematics and Computational Science 1 Networks and Heterogeneous Media 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
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#### Fields

 189 Partial differential equations (35-XX) 97 Fluid mechanics (76-XX) 53 Numerical analysis (65-XX) 40 Relativity and gravitational theory (83-XX) 28 Differential geometry (53-XX) 18 Mechanics of deformable solids (74-XX) 10 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

181 Publications have been cited 2,625 times in 1,317 Documents Cited by Year
Definition and weak stability of nonconservative products. Zbl 0853.35068
Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François
1995
Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. Zbl 1019.35001
LeFloch, Philippe G.
2002
Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0649.35057
Dubois, François; Le Floch, Philippe
1988
Why nonconservative schemes converge to wrong solutions: Error analysis. Zbl 0809.65102
Hou, Thomas Y.; Le Floch, Philippe G.
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
2008
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
2004
Non-classical shocks and kinetic relations: Scalar conservation laws. Zbl 0902.76053
Hayes, Brian T.; LeFloch, Philippe G.
1997
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
2003
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
2002
Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form. Zbl 0683.35049
Le Floch, Philippe
1988
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
2007
Existence theory for nonlinear hyperbolic systems in nonconservative form. Zbl 0804.35086
Le Floch, Philippe; Liu, Tai-Ping
1993
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
2011
Measure solutions to a strictly hyperbolic system of conservation laws. Zbl 0908.35075
Hayes, Brian T.; LeFloch, Philippe G.
1996
Conservation laws with vanishing nonlinear diffusion and dispersion. Zbl 0923.35159
LeFloch, Philippe G.; Natalini, Roberto
1999
Convergence of the finite volume method for multidimensional conservation laws. Zbl 0845.65051
Cockburn, B.; Coquel, F.; LeFloch, P. G.
1995
An error estimate for finite volume methods for multidimensional conservation laws. Zbl 0855.65103
Cockburn, Bernardo; Coquel, Frédéric; LeFloch, Philippe
1994
An existence and uniqueness result for two nonstrictly hyperbolic systems. Zbl 0727.35083
Le Floch, Philippe
1990
Propagating phase boundaries: Formulation of the problem and existence via the Glimm method. Zbl 0784.73010
Le Floch, Philippe
1993
Representation of weak limits and definition of nonconservative products. Zbl 0939.35115
LeFloch, Philippe G.; Tzavaras, Athanasios E.
1999
Uniqueness of weak solutions to systems of conservation laws. Zbl 0903.35039
Bressan, Alberto; LeFloch, Philippe
1997
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
1988
Explicit formula for scalar nonlinear conservation laws with boundary condition. Zbl 0679.35065
Le Floch, Philippe
1988
Existence theory for the isentropic Euler equations. Zbl 1027.76043
Chen, Gui-Qiang; LeFloch, Philippe G.
2003
Nonclassical shocks and kinetic relations: Strictly hyperbolic systems. Zbl 0953.35095
Hayes, Brian T.; LeFloch, Philippe G.
2000
Compressible Euler equations with general pressure law. Zbl 0970.76082
Chen, Gui-Qiang; LeFloch, Philippe G.
2000
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.
1989
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
2008
Finite energy solutions to the isentropic Euler equations with geometric effects. Zbl 1188.35150
LeFloch, Philippe G.; Westdickenberg, Michael
2007
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
2000
Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws. Zbl 0932.35139
Bressan, Alberto; LeFloch, Philippe G.
1999
Zero diffusion-dispersion limits for scalar conservation laws. Zbl 1055.35072
Kondo, Cezar I.; LeFloch, Philippe G.
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
1991
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
2016
Existence theory for hyperbolic systems of conservation laws with general flux-functions. Zbl 1036.35130
Iguchi, Tatsuo; LeFloch, Philippe G.
2003
Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws. Zbl 1001.35082
Bedjaoui, Nabil; LeFloch, Philippe G.
2002
Diffusive-dispersive travelling waves and kinetic relations. II: A hyperbolic-elliptic model of phase-transition dynamics. Zbl 1082.35104
Bedjaoui, Nabil; LeFloch, Philippe G.
2002
Boundary layers in weak solutions of hyperbolic conservation laws. Zbl 0959.35119
Joseph, K. T.; LeFloch, P. G.
1999
Nonclassical shocks and kinetic relations: Finite difference schemes. Zbl 0938.35096
Hayes, Brian T.; LeFloch, Philippe G.
1998
Convergence of finite difference schemes for conservation laws in several space dimensions: A general theory. Zbl 0781.65078
Coquel, Frédéric; Le Floch, Philippe
1993
The hyperboloidal foliation method. Zbl 1320.53001
LeFloch, Philippe G.; Ma, Yue
2014
The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028
LeFloch, Philippe G.; Stewart, John M.
2011
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
2005
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. Zbl 1138.35055
Ben-Artzi, Matania; LeFloch, Philippe G.
2007
Definition and stability of Lorentzian manifolds with distributional curvature. Zbl 1144.35311
LeFloch, Philippe G.; Mardare, Cristinel
2007
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
2002
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Zbl 0915.35069
LeFloch, Philippe G.; Liu, Jian-Guo
1999
Uniqueness via the adjoint problems for systems of conservation laws. Zbl 0797.35116
Le Floch, Philippe; Xin, Zhouping
1993
The hyperbolic mean curvature flow. Zbl 1159.53025
LeFloch, Philippe G.; Smoczyk, Knut
2008
Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078
LeFloch, Philippe G.
2004
Diffusive-dispersive travelling waves and kinetic relations. V: Singular diffusion and nonlinear dispersion. Zbl 1065.35182
Bedjaoui, Nabil; LeFloch, Philippe G.
2004
Computational method for propagating phase boundaries. Zbl 0855.73080
Zhong, Xiaoguang; Hou, Thomas Y.; LeFloch, Philippe G.
1996
Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240
Germain, Pierre; Lefloch, Philippe
2016
High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455
Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni
2014
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
2013
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
2009
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G.
2008
A version of the Glimm method based on generalized Riemann problems. Zbl 1125.35003
Hong, John M.; LeFloch, Philippe G.
2007
Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method. Zbl 1114.35121
Amorim, Paulo; Ben-Artzi, Matania; LeFloch, Philippe G.
2005
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.
2004
An introduction to nonclassical shocks of systems of conservation laws. Zbl 0929.35088
LeFloch, Philippe G.
1999
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on $$T ^{3}$$. Zbl 1256.35165
LeFloch, Philippe G.; Rendall, Alan D.
2011
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372
Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G.
2009
Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader
2016
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
2014
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver
2012
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190
Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G.
2012
Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver
2008
Diffusive-dispersive traveling waves and kinetic relations. IV: Compressible Euler equations. Zbl 1033.35074
Bedjaoui, N.; LeFloch, P. G.
2003
Diffusive-dispersive traveling waves and kinetic relations. III: An hyperbolic model of elastodynamics. Zbl 1119.35340
Bedjaoui, Nabil; LeFloch, Philippe G.
2001
Multivalued solutions to some nonlinear and non-strictly hyperbolic systems. Zbl 0768.35058
Forestier, Alain; Le Floch, Philippe
1992
The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005
LeFloch, Philippe G.; Ma, Yue
2018
Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025
Beyer, Florian; LeFloch, Philippe G.
2010
Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits. Zbl 1020.35055
Joseph, K. T.; LeFloch, Philippe G.
2002
High-order entropy-conservative schemes and kinetic relations for van der Waals fluids. Zbl 1074.76583
Chalons, C.; LeFloch, P. G.
2001
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
2000
A level-set approach to the computation of twinning and phase-transition dynamics. Zbl 0936.74052
Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe
1999
Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250
LeFloch, Philippe G.; Okutmustur, Baver
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
2008
Properties of Rankine-Hugoniot curves for van der Waals fluids. Zbl 1044.76029
LeFloch, Philippe G.; Mai Duc Thanh
2003
Computing undercompressive waves with the random choice scheme. Nonclassical shock waves. Zbl 1038.35134
Chalons, C.; LeFloch, P. G.
2003
Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits. Zbl 1021.35065
Joseph, K. T.; LeFloch, P. G.
2002
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
2016
The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062
Lee, Dan A.; LeFloch, Philippe G.
2015
The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058
LeFloch, Philippe G.; Sormani, Christina
2015
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.
2013
Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235
LeFloch, Philippe G.
2010
Injectivity radius of Lorentzian manifolds. Zbl 1156.53040
Chen, Bing-Long; LeFloch, Philippe G.
2008
Nonclassical Riemann solvers and kinetic relations. I: A nonconvex hyperbolic model of phase transitions. Zbl 1020.35056
LeFloch, Philippe G.; Mai Duc Thanh
2001
$$L^1$$ continuous dependence property for systems of conservation laws. Zbl 1021.35064
Hu, Jiaxin; LeFloch, Philippe G.
2000
Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation. Zbl 1266.83027
Grubic, Nastasia; LeFloch, Philippe G.
2013
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. Zbl 1178.35251
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir
2009
Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302
LeFloch, Philippe G.; Shelukhin, Vladimir
2005
Existence result for a class of nonconservative and nonstrictly hyperbolic systems. Zbl 1031.35096
Crasta, Graziano; LeFloch, Philippe G.
2002
Uniqueness of classical and nonclassical solutions for nonlinear hyperbolic systems. Zbl 0987.35101
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto
2001
Nonlinear diffusive-dispersive limits for multidimensional conservation laws. Zbl 0929.35086
Correia, Joaquim M. C.; LeFloch, Philippe G.
1998
An entropy satisfying MUSCL scheme for systems of conservation laws. Zbl 0860.65076
Coquel, Frédéric; LeFloch, Philippe G.
1996
A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135
Le Floch, Philippe G.; Makhlof, Hasan
2014
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004
Burtscher, Annegret Y.; LeFloch, Philippe G.
2014
The equations of elastostatics in a Riemannian manifold. Zbl 1307.74019
Grubic, Nastasia; LeFloch, Philippe G.; Mardare, Cristinel
2014
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
2019
The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005
LeFloch, Philippe G.; Ma, Yue
2018
Boundedness of the total energy of relativistic membranes evolving in a curved spacetime. Zbl 1390.35357
LeFloch, Philippe G.; Wei, Changhua
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.
2018
Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299
Beyer, Florian; LeFloch, Philippe G.
2017
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
2017
Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196
Du, Qiang; Huang, Zhan; LeFloch, Philippe G.
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.
2017
A new method for solving Kolmogorov equations in mathematical finance. Zbl 1419.91651
LeFloch, Philippe G.; Mercier, Jean-Marc
2017
The mathematical validity of the $$f(R)$$ theory of modified gravity. Zbl 1372.83003
LeFloch, Philippe G.; Ma, Yue
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
2016
Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240
Germain, Pierre; Lefloch, Philippe
2016
Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader
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
2016
Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes. Zbl 1342.83010
Lefloch, Philippe; Smulevici, Jacques
2016
The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field. Zbl 1347.83008
LeFloch, Philippe G.; Ma, Yue
2016
Weakly regular $$T^2$$-symmetric spacetimes. The future causal geometry of Gowdy spacetimes. Zbl 1331.35341
LeFloch, Philippe G.; Smulevici, Jacques
2016
The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062
Lee, Dan A.; LeFloch, Philippe G.
2015
The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058
LeFloch, Philippe G.; Sormani, Christina
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.
2015
Weakly regular $$T^2$$-symmetric spacetimes. The global geometry of future Cauchy developments. Zbl 1321.83010
LeFloch, Philippe G.; Smulevici, Jacques
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.
2015
Revisiting the method of characteristics via a convex hull algorithm. Zbl 1349.76623
LeFloch, Philippe G.; Mercier, Jean-Marc
2015
Existence and uniqueness results for the pressureless Euler-Poisson system in one spatial variable. Zbl 1343.35162
LeFloch, Philippe G.; Xiang, Shuyang
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.
2015
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha
2015
The hyperboloidal foliation method. Zbl 1320.53001
LeFloch, Philippe G.; Ma, Yue
2014
High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455
Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni
2014
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
2014
A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135
Le Floch, Philippe G.; Makhlof, Hasan
2014
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004
Burtscher, Annegret Y.; LeFloch, Philippe G.
2014
The equations of elastostatics in a Riemannian manifold. Zbl 1307.74019
Grubic, Nastasia; LeFloch, Philippe G.; Mardare, Cristinel
2014
Null injectivity estimate under an upper bound on the curvature. Zbl 1334.53075
Grant, James D. E.; LeFloch, Philippe G.
2014
Structure-preserving shock-capturing methods: late-time asymptotics, curved geometry, small-scale dissipation, and nonconservative products. Zbl 1304.76041
LeFloch, Philippe G.
2014
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
2013
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.
2013
Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation. Zbl 1266.83027
Grubic, Nastasia; LeFloch, Philippe G.
2013
Quasilinear symmetric hyperbolic Fuchsian systems in several space dimensions. Zbl 1320.35193
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
2013
Hyperbolic balance laws with entropy on a curved spacetime: the weak-strong uniqueness theory. Zbl 1288.35344
LeFloch, Philippe G.
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.
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.
2013
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver
2012
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190
Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G.
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
2011
The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028
LeFloch, Philippe G.; Stewart, John M.
2011
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on $$T ^{3}$$. Zbl 1256.35165
LeFloch, Philippe G.; Rendall, Alan D.
2011
Plane-symmetric spacetimes with positive cosmological constant: the case of stiff fluids. Zbl 1247.83012
LeFloch, Philippe G.; Tchapnda, Sophonie B.
2011
Hyperbolic conservation laws on spacetimes. Zbl 1248.35124
LeFloch, Philippe G.
2011
Coupling techniques for nonlinear hyperbolic equations. I: Self-similar diffusion for thin interfaces. Zbl 1252.35188
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
2011
A geometric approach to error estimates for conservation laws posed on a spacetime. Zbl 1221.35229
Amorim, Paulo; LeFloch, Philippe G.; Neves, Wladimir
2011
Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025
Beyer, Florian; LeFloch, Philippe G.
2010
Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235
LeFloch, Philippe G.
2010
Global geometry of $$T^2$$-symmetric spacetimes with weak regularity. Zbl 1205.83017
LeFloch, Philippe G.; Smulevici, Jacques
2010
Uniqueness of Kottler spacetime and the Besse conjecture. Zbl 1202.83068
LeFloch, Philippe G.; Rozoy, Luc
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
2010
Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. Zbl 1207.35219
Laforest, Marc; LeFloch, Philippe G.
2010
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
2009
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372
Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G.
2009
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. Zbl 1178.35251
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir
2009
Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301
LeFloch, Philippe G.; Mishra, Siddhartha
2009
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
2009
Local foliations and optimal regularity of Einstein spacetimes. Zbl 1179.53069
Chen, Bing-Long; LeFloch, Philippe G.
2009
Computing Gowdy spacetimes via spectral evolution in future and past directions. Zbl 1158.83301
Amorim, Paulo; Bernardi, Christine; LeFloch, Philippe G.
2009
Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity. Zbl 1161.53063
Lefloch, Philippe G.; Mardare, Cristinel; Mardare, Sorin
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
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
2008
The hyperbolic mean curvature flow. Zbl 1159.53025
LeFloch, Philippe G.; Smoczyk, Knut
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.
2008
Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver
2008
Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250
LeFloch, Philippe G.; Okutmustur, Baver
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
2008
Injectivity radius of Lorentzian manifolds. Zbl 1156.53040
Chen, Bing-Long; LeFloch, Philippe G.
2008
Hyperbolic conservation laws and spacetimes with limited regularity. Zbl 1140.35301
LeFloch, P. G.
2008
Hyperbolic conservation laws on manifolds with limited regularity. Zbl 1145.35428
LeFloch, Philippe G.; Okutmustur, Baver
2008
Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature. Zbl 1191.53052
LeFloch, Philippe G.
2008
Mini-workshop: Hyperbolic aspects of phase transition dynamics. Abstracts from the mini-workshop held February 24 – March 1, 2008. Zbl 1177.35008
Colombo, Rinaldo M. (ed.); Kröner, Dietmar (ed.); LeFloch, Philippe G. (ed.)
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.
2008
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
2007
Finite energy solutions to the isentropic Euler equations with geometric effects. Zbl 1188.35150
LeFloch, Philippe G.; Westdickenberg, Michael
2007
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. Zbl 1138.35055
Ben-Artzi, Matania; LeFloch, Philippe G.
2007
Definition and stability of Lorentzian manifolds with distributional curvature. Zbl 1144.35311
LeFloch, Philippe G.; Mardare, Cristinel
2007
A version of the Glimm method based on generalized Riemann problems. Zbl 1125.35003
Hong, John M.; LeFloch, Philippe G.
2007
Singular limits in phase dynamics with physical viscosity and capillarity. Zbl 1134.35073
Joseph, K. T.; LeFloch, P. G.
2007
Nonlinear hyperbolic systems: Nondegenerate flux, inner speed variation, and graph solutions. Zbl 1124.35040
Glass, Olivier; LeFloch, Philippe G.
2007
Singular limits for the Riemann problem: general diffusion, relaxation, and boundary conditions. Zbl 1109.65074
Joseph, Kayyunnapara T.; LeFloch, Philippe G.
2007
Entropy solutions of the Euler equations for isothermal relativistic fluids. Zbl 1153.76067
LeFloch, Philippe G.; Yamazaki, Mitsuru
2007
Singular limits for the Riemann problem: general diffusion relaxation, and boundary conditions. Zbl 1209.35078
Joseph, K. T.; LeFloch, P. G.
2006
Uniqueness for multidimensional hyperbolic systems with commuting Jacobians. Zbl 1103.35068
Frid, Hermano; LeFloch, Philippe G.
2006
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
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.
2005
Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302
LeFloch, Philippe G.; Shelukhin, Vladimir
2005
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
2004
Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078
LeFloch, Philippe G.
2004
Diffusive-dispersive travelling waves and kinetic relations. V: Singular diffusion and nonlinear dispersion. Zbl 1065.35182
Bedjaoui, Nabil; LeFloch, Philippe G.
2004
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.
2004
Nonclassical Riemann solvers with nucleation. Zbl 1090.35121
LeFloch, P. G.; Shearer, M.
2004
Continuous Glimm-type functionals and spreading of rarefunction waves. Zbl 1094.35077
LeFloch, Phillippe; Trivisa, Konstantina
2004
Existence theory for nonclassical entropy solutions of scalar conservation laws. Zbl 1082.35103
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto
2004
On the validity of Chapman-Enskog expansions for shock waves with small strength. Zbl 1071.35080
Bedjaoui, Nabil; Klingenberg, Christian; LeFloch, Philippe G.
2004
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
2003
...and 81 more Documents
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#### Cited by 1,401 Authors

 81 LeFloch, Philippe Gerard 37 Mai Duc Thanh 36 Dumbser, Michael 25 Parés Madroñal, Carlos 23 Coclite, Giuseppe Maria 21 Chalons, Christophe 19 Castro, Manuel J. 19 Toro, Eleuterio F. 18 Rohde, Christian 17 Colombo, Rinaldo M. 17 Di Ruvo, Lorenzo 17 Sarrico, Carlos Orlando R. 17 Shao, Zhiqiang 17 Yang, Hanchun 16 Chen, Gui-Qiang G. 15 Gosse, Laurent 15 Hérard, Jean-Marc 14 Berthon, Christophe 14 Coquel, Frédéric 14 Mishra, Siddhartha 13 Castro-Díaz, Manuel Jesús 13 Goatin, Paola 12 Fernández-Nieto, Enrique Domingo 12 Hong, John Meng-Kai 12 Karlsen, Kenneth Hvistendahl 11 Kröner, Dietmar 11 Mitrovic, Darko 11 Shen, Chun 11 Sun, Meina 10 Corli, Andrea 10 Giesselmann, Jan 10 Seguin, Nicolas 9 Cheng, Hongjun 9 Cuong, Dao Huy 9 Li, Jiequan 9 Risebro, Nils Henrik 9 Rosini, Massimiliano Daniele 9 Wei, Changhua 8 Andreianov, Boris 8 Boscarino, Sebastiano 8 Bouchut, François 8 Després, Bruno 8 Joseph, Kayyunnapara Thomas 8 Morales de Luna, Tomás 8 Piccoli, Benedetto 8 Raviart, Pierre-Arnaud 8 Shu, Chi-Wang 8 Tadmor, Eitan 7 Amadori, Debora 7 Balsara, Dinshaw S. 7 Ben-Artzi, Matania 7 Bürger, Raimund 7 Gassner, Gregor J. 7 Godlewski, Edwige 7 Klingenberg, Christian 7 Lu, Yunguang 7 Murillo, Javier 7 Shearer, Michael 7 Sheng, Wancheng 7 Speck, Jared 7 Yang, Tong 7 Zhao, Huijiang 6 Ancona, Fabio 6 Bressan, Alberto 6 Dias, João-Paulo 6 Dubey, Ritesh Kumar 6 Frid, Hermano 6 Garavello, Mauro 6 Kong, Dexing 6 Ma, Yue 6 Montecinos, Gino I. 6 Müller, Siegfried 6 Rosatti, Giorgio 6 Svärd, Magnus 6 van der Vegt, Jaap J. W. 6 Wang, Zenggui 6 Warnecke, Gerald G. 6 Winters, Andrew R. 5 Abreu, Eduardo 5 Aguillon, Nina 5 Bianchini, Stefano 5 Bokhove, Onno 5 Boscheri, Walter 5 Breuß, Michael 5 Christoforou, Cleopatra C. 5 Cockburn, Bernardo 5 Figueira, Mário S. R. 5 Fjordholm, Ulrik Skre 5 Foucher, Françoise 5 Gallouët, Thierry 5 Garcia-Navarro, Pilar 5 Gowda, G. D. Veerappa 5 Hantke, Maren 5 Hattori, Harumi 5 Helluy, Philippe 5 Hidalgo, Arturo 5 Kalisch, Henrik 5 Kondo, Cezar I. 5 Kunzinger, Michael 5 Lagoutière, Frédéric ...and 1,301 more Authors
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#### Cited in 213 Serials

 142 Journal of Computational Physics 81 Journal of Differential Equations 63 Journal of Hyperbolic Differential Equations 51 Computers and Fluids 42 Journal of Mathematical Analysis and Applications 42 Journal of Scientific Computing 40 Mathematics of Computation 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Archive for Rational Mechanics and Analysis 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Applied Mathematics and Computation 21 Journal of Mathematical Physics 20 Computer Methods in Applied Mechanics and Engineering 19 Communications in Mathematical Physics 19 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Nonlinear Analysis. Real World Applications 16 Applied Numerical Mathematics 15 Numerische Mathematik 14 SIAM Journal on Numerical Analysis 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Communications in Partial Differential Equations 12 Quarterly of Applied Mathematics 12 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 11 SIAM Journal on Mathematical Analysis 10 Computers & Mathematics with Applications 10 Mathematical Methods in the Applied Sciences 10 SIAM Journal on Applied Mathematics 10 Annales Henri Poincaré 10 Bulletin of the Brazilian Mathematical Society. New Series 10 Networks and Heterogeneous Media 9 Applicable Analysis 9 Journal of Computational and Applied Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 BIT 8 Transactions of the American Mathematical Society 8 Chinese Annals of Mathematics. Series B 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 SIAM Journal on Scientific Computing 7 Communications on Pure and Applied Mathematics 7 Journal of Geometry and Physics 7 Physica D 7 Numerical Methods for Partial Differential Equations 7 Applied Mathematics Letters 7 Abstract and Applied Analysis 7 Communications on Pure and Applied Analysis 6 General Relativity and Gravitation 6 International Journal for Numerical Methods in Fluids 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Multiscale Modeling & Simulation 5 Journal of Fluid Mechanics 5 Acta Applicandae Mathematicae 5 Journal of Elasticity 5 Russian Journal of Mathematical Physics 5 Discrete and Continuous Dynamical Systems 5 Portugaliae Mathematica. Nova Série 5 Nonlinear Analysis. Theory, Methods & Applications 4 Classical and Quantum Gravity 4 Journal of the Mechanics and Physics of Solids 4 Mathematische Annalen 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Acta Mathematicae Applicatae Sinica. English Series 4 Continuum Mechanics and Thermodynamics 4 Advances in Computational Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Interfaces and Free Boundaries 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Computational Geosciences 4 Journal of Nonlinear Mathematical Physics 4 Acta Numerica 4 Mathematical Biosciences and Engineering 4 Discrete and Continuous Dynamical Systems. Series S 4 Advances in Mathematical Physics 4 Annals of PDE 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Engineering Mathematics 3 Nonlinearity 3 Acta Mathematica Vietnamica 3 Applied Mathematics and Mechanics. (English Edition) 3 Annals of Global Analysis and Geometry 3 Japan Journal of Industrial and Applied Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Selecta Mathematica. New Series 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis and Applications (Singapore) 2 Acta Mechanica 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Computational Fluid Dynamics 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 SIAM Journal on Control and Optimization ...and 113 more Serials
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#### Cited in 40 Fields

 921 Partial differential equations (35-XX) 633 Fluid mechanics (76-XX) 452 Numerical analysis (65-XX) 90 Relativity and gravitational theory (83-XX) 78 Differential geometry (53-XX) 73 Mechanics of deformable solids (74-XX) 47 Operations research, mathematical programming (90-XX) 36 Statistical mechanics, structure of matter (82-XX) 33 Global analysis, analysis on manifolds (58-XX) 28 Functional analysis (46-XX) 25 Geophysics (86-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 13 Astronomy and astrophysics (85-XX) 12 Probability theory and stochastic processes (60-XX) 12 Systems theory; control (93-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of particles and systems (70-XX) 10 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Real functions (26-XX) 6 Integral equations (45-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)