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Serre, Denis

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 Author ID: serre.denis Published as: Serre, D.; Serre, Denis Homepage: http://perso.ens-lyon.fr/serre/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 179 Publications since 1978, including 17 Books Biographic References: 1 Publication
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Co-Authors

 111 single-authored 9 Benzoni-Gavage, Sylvie 4 Friedlander, Susan Jean 4 Lattanzio, Corrado 4 Zumbrun, Kevin R. 3 Freistühler, Heinrich 3 Hubert, Florence 3 Morando, Alessandro 3 Rascle, Michel 3 Vasseur, Alexis F. 2 Carasso, Claude 2 Demengel, Françoise 2 Gisclon, Marguerite 2 Grassin, Magali 2 Heibig, Arnaud 2 Hoff, David 2 Hsiao, Ling 2 Mascia, Corrado 2 Neves, Wladimir 2 Schmidt-Lainé, Claudine 1 Amadori, Debora 1 Benabdallah, Assia 1 Bultelle, Matthieu 1 Coulombel, Jean-François 1 De Rosa, Luigi 1 E, Weinan 1 Ercolani, Nicholas M. 1 Gabitov, Ildar R. 1 Gallay, Thierry 1 Gilquin, Hervé 1 Hillairet, Matthieu 1 Levermore, C. David 1 Li, Tatsien 1 Luo, Tao 1 Pego, Robert L. 1 Peng, Yuejun 1 Rakotoson, Jean-Michel 1 Raviart, Pierre-Arnaud 1 Rousset, Frédéric 1 Ruggeri, Tommaso 1 Silvestre, Luis E. 1 Slemrod, Marshall 1 Strang, William Gilbert 1 Tione, Riccardo 1 Xiao, Ling 1 Zhang, Hao
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Serials

 19 Comptes Rendus de l’Académie des Sciences. Série I 8 Archive for Rational Mechanics and Analysis 5 Journal of Differential Equations 5 Physica D 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Applied Mathematics Letters 5 Communications in Partial Differential Equations 4 Annales de l’Institut Fourier 4 Quarterly of Applied Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Indiana University Mathematics Journal 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 Communications in Mathematical Sciences 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Functional Analysis 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Graduate Texts in Mathematics 2 Confluentes Mathematici 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Gazette des Mathématiciens 1 Numerische Mathematik 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Zeitschrift für Analysis und ihre Anwendungen 1 Japan Journal of Applied Mathematics 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Séminaire Équations aux Dérivées Partielles 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Matemática Contemporânea 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Hyperbolic Differential Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Mathematics 1 Lecture Notes in Physics 1 Matapli 1 Journal de l’École Polytechnique – Mathématiques 1 Oxford Mathematical Monographs
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Fields

 153 Partial differential equations (35-XX) 61 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 12 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functional analysis (46-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

Citations contained in zbMATH Open

144 Publications have been cited 1,854 times in 1,414 Documents Cited by Year
Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001
Serre, Denis
1999
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
2007
The failure of continuous dependence on initial data for the Navier- Stokes equations of compressible flow. Zbl 0741.35057
Hoff, David; Serre, Denis
1991
Semi-linear and kinetic relaxation for systems of conservation laws. Zbl 0963.35117
Serre, Denis
2000
Chute libre d’un solide dans un fluide visqueux incompressible. Existence. (Free falling body in a viscous incompressible fluid. Existence). Zbl 0655.76022
Serre, Denis
1987
Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025
Serre, Denis
2009
Systems of conservation laws 2. Geometric structures, oscillations, and initial-boundary value problems. Translated from the French by I. N. Sneddon. Zbl 0936.35001
Serre, Denis
2000
Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027
Zumbrun, K.; Serre, D.
1999
Systems of conservation laws. I: Hyperbolicity, entropy, shock waves. Zbl 0930.35002
Serre, Denis
1996
Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws). Zbl 0627.35062
Serre, Denis
1987
La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d’espace. (Compensated compactness for 2$$\times 2$$ hyperbolic systems of conservation laws). Zbl 0601.35070
Serre, Denis
1986
Systems of conservation laws. II: Geometric structures, oscillations and mixed problems. Zbl 0930.35003
Serre, Denis
1996
Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069
Hsiao, Ling; Serre, Denis
1996
Solutions faibles globales des équations de Navier-Stokes pour un fluide compressible. (Global weak solutions for compressible Navier- Stokes equations). Zbl 0597.76067
Serre, Denis
1986
Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001
Serre, Denis
2002
Sur l’équation monodimensionnelle d’un fluide visqueux, compressible et conducteur de chaleur. (On the 1-d motion of a viscous, compressible, heat-conducting fluid). Zbl 0611.35070
Serre, Denis
1986
Solutions classiques globales des équations d’Euler pour un fluide parfait compressible. (Global smooth solutions for the Euler equations of a perfect compressible fluid.). Zbl 0864.35069
Serre, Denis
1997
Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028
Serre, Denis; Zumbrun, Kevin
2001
$$\mathfrak{L}^1$$ stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046
Freistühler, Heinrich; Serre, Denis
1998
Spectral stability of periodic solutions of viscous conservation laws: large wavelength analysis. Zbl 1131.35046
Serre, Denis
2005
Alternate Evans functions and viscous shock waves. Zbl 0985.34075
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
2001
$$L^1$$-stability of nonlinear waves in scalar conservation laws. Zbl 1079.35064
Serre, Denis
2004
Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005
Serre, Denis
2004
Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067
Ruggeri, Tommaso; Serre, Denis
2004
Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165
Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis
2002
$$L^1$$-stability of travelling waves in scalar conservation laws. Zbl 1063.35520
Serre, Denis
1999
$$L^1$$-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
2003
Study of boundary conditions for a strictly hyperbolic system via the parabolic approximation. Zbl 0808.35075
Gisclon, Marguerite; Serre, Denis
1994
Large amplitude variations for the density of a viscous compressible fluid. Zbl 0739.35071
Serre, Denis
1991
$$L^2$$-type contraction for systems of conservation laws. Zbl 1310.62079
Serre, Denis; Vasseur, Alexis F.
2014
Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062
2007
Asymptotic behavior of large weak entropy solutions of the damped $$p$$-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
1997
Flows of perfect fluids having two independent space-like variables. Reflection of a plane shock by a compressible wedge. Zbl 0838.76077
Serre, Denis
1995
Equations de Navier-Stokes stationnaires avec données peu régulières. Zbl 0559.35064
Serre, Denis
1983
Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001
Serre, Denis
2010
Existence of global and regular solutions to Euler equations for an isentropic perfect gas. Zbl 0887.35125
Grassin, Magali; Serre, Denis
1997
Richness and the classification of quasilinear hyperbolic systems. Zbl 0760.35028
Serre, Denis
1991
Formes quadratiques et calcul des variations. Zbl 0529.49005
Serre, D.
1983
Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083
Bultelle, Matthieu; Grassin, Magali; Serre, Denis
1998
The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101
Li, Ta-Tsien; Serre, D.; Zhang, Hao
1992
Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Zbl 0983.35086
2001
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
2016
Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003
Serre, Denis
2010
The structure of dissipative viscous system of conservation laws. Zbl 1193.37012
Serre, Denis
2010
Plane waves in nonlinear electromagnetism. Zbl 0736.35133
Serre, Denis
1988
Numerical measure of a complex matrix. Zbl 1244.15015
Gallay, Thierry; Serre, Denis
2012
Boundary value problem for a strictly hyperbolic system related with the Godunov scheme. Zbl 0873.65087
Gisclon, Marguerite; Serre, Denis
1997
Correctors for the homogenization of conservation laws with oscillatory forcing terms. Zbl 0766.35026
Weinan, E.; Serre, Denis
1992
Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010
Pego, Robert L.; Serre, Denis
1988
Problèmes aux limites pour des systèmes hyperboliques non linéaires de deux équations à une dimension d’espace. (Boundary conditions for nolinear 2$$\times 2$$ hyperbolic systems of conservation laws). Zbl 0632.35040
Benabdallah, Assia; Serre, Denis
1987
Expansion of a compressible gas in vacuum. Zbl 1328.76059
Serre, Denis
2015
Chute stationnaire d’un solide dans un fluide visqueux incompressible le long d’un plan incliné. (Free steady fall of a solid in a fluid, along a ramp). Zbl 1044.35053
Hillairet, M.; Serre, D.
2003
Domaines invariants pour les systèmes hyperboliques de lois de conservation. (Invariant domains for hyperbolic systems of the conservation law). Zbl 0626.35061
Serre, Denis
1987
Invariants et dégénérescence symplectique de l’équation d’Euler des fluides parfaits incompressibles. (Conservation laws of inviscid perfect fluids: Higher dimensions and axisymmetric case.). Zbl 0598.76006
Serre, Denis
1984
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
2016
Transition to instability for multidimensional shock waves. Zbl 1078.35521
Serre, Denis
2001
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
Ercolani, N. M. (ed.); Gabitov, I. R. (ed.); Levermore, C. D. (ed.); Serre, D. (ed.)
1994
Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations. Zbl 0733.35021
Demengel, F.; Serre, D.
1991
Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics. Zbl 1179.01022
Serre, Denis
2010
Second order initial boundary-value problems of variational type. Zbl 1254.35138
Serre, Denis
2006
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
1995
Nonlinear oscillations of hyperbolic systems: Methods and qualitative results. Zbl 0810.35060
Serre, Denis
1991
Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001
Friedlander, S. (ed.); Serre, D. (ed.)
2002
Étude d’un modèle hyperbolique en dynamique des câbles (Study of a hyperbolical model for cable dynamics). Zbl 0583.73052
Carasso, C.; Rascle, M.; Serre, Denis
1985
Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181
Serre, Denis
2018
Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212
Serre, Denis
2016
The $$L^1$$-stability of boundary layers for scalar viscous conservation laws. Zbl 0993.35063
Freistühler, Heinrich; Serre, Denis
2001
Remarks about the discrete profiles of shock waves. Zbl 0864.35074
Serre, Denis
1996
Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080
Hubert, Florence; Serre, Denis
1996
Rich hyperbolic systems with conservation laws. Zbl 0870.35067
Serre, Denis
1994
On the variational principle for the equations of perfect fluid dynamics. Zbl 0788.76065
Serre, D.
1993
Un modèle relaxé pour les câbles inextensibles. (Inextensible string: A new model via relaxation). Zbl 0725.73100
Serre, Denis
1991
Les invariants du premier ordre de l’équation d’Euler en dimension trois (The first order invariants of the three-dimensional Euler equations). Zbl 0586.76025
Serre, Denis
1984
Condition de Legendre-Hadamard: espaces de matrices de rang = 1. Zbl 0478.49006
Serre, Denis
1981
Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas. Zbl 1346.76177
Serre, Denis
2016
Discrete shock profiles: Existence and stability. Zbl 1128.65068
Serre, Denis
2007
On the $$L^2$$-well posedness of an initial boundary value problem for the 3D linear elasticity. Zbl 1092.35059
Morando, Alessandro; Serre, Denis
2005
Matrices. Theory and applications. Zbl 1008.15002
Serre, Denis
2001
Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). Zbl 0963.35009
Serre, Denis
2001
Solutions globales $$(-\infty<t<+\infty)$$ des systèmes paraboliques de lois de conservation. (Global solutions $$(-\infty<t<+\infty)$$ of parabolic systems of conservation laws.). Zbl 0917.35076
Serre, Denis
1998
Compensated compactness for a class of hyperbolic systems of $$p\geq 3$$ conservation laws. Zbl 0834.35081
Benzoni-Gavage, Sylvie; Serre, Denis
1994
Integrability of a class of systems of conservation laws. Zbl 0769.35040
Serre, Denis
1992
Une approche algébrique du problème de Riemann. (An algebraic approach for the Riemann problem). Zbl 0691.35060
Heibig, Arnaud; Serre, Denis
1989
Well-posedness of the Riemann problem; consistency of the Godunov’s scheme. Zbl 0685.65085
Gilquin, H.; Serre, Denis
1989
Existence globale de solutions faibles sous une hypothèse unilaterale pour un système hyperbolique non linéaire. (Global existence of weak solutions to a nonlinear hyperbolic system under a unilateral hypothesis). Zbl 0698.35098
Serre, Denis
1988
Un système hyperbolique non linéaire avec des données oscillantes. (Oscillating data in one nonlinear hyperbolic system). Zbl 0606.35050
Serre, Denis
1986
Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396
Serre, Denis; Silvestre, Luis
2019
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235
Serre, Denis
2019
Viscous system of conservation laws: singular limits. Zbl 1248.35102
Serre, Denis
2011
Local existence for viscous system of conservation laws: $$H^s$$-data with $$s>1+d/2$$. Zbl 1223.35230
Serre, Denis
2010
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
2008
Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002
Friedlander, S. (ed.); Serre, D. (ed.)
2004
Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394
Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis
2002
Asymptotics of homogeneous oscillations in a compressible viscous fluid. Zbl 1034.76052
Serre, Denis
2001
$$L^1$$-decay and the stability of shock profiles. Zbl 0938.35098
Serre, D.
2000
Spiral waves for the 2D Riemann problem for a compressible fluid. Zbl 0873.76071
Serre, Denis
1996
Entropy of the liquid-vapour mixture of a thermo-capillary fluid. Zbl 0828.76083
Serre, Denis
1994
Existence of solutions for a class of hyperbolic systems of $$p$$ conservation laws $$(p\geq 3)$$. Zbl 0921.35102
Benzoni-Gavage, Sylvie; Serre, Denis
1993
Compensated compactness for a class of hyperbolic systems of $$p$$ conservation laws with $$p\geq 3$$. Zbl 0834.35080
Benzoni-Gavage, Sylvie; Serre, Denis
1993
Étude variationnelle du problème de Riemann. (Variational study of the Riemann problem). Zbl 0777.35053
Heibig, Arnaud; Serre, Denis
1992
Hard spheres dynamics: weak vs strong collisions. Zbl 07331722
Serre, Denis
2021
On the upper semicontinuity of a quasiconcave functional. Zbl 1451.49016
De Rosa, Luigi; Serre, Denis; Tione, Riccardo
2020
Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396
Serre, Denis; Silvestre, Luis
2019
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235
Serre, Denis
2019
Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181
Serre, Denis
2018
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
2016
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
2016
Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212
Serre, Denis
2016
Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas. Zbl 1346.76177
Serre, Denis
2016
Expansion of a compressible gas in vacuum. Zbl 1328.76059
Serre, Denis
2015
The reverse Hlawka inequality in a Minkowski space. Zbl 1322.51002
Serre, Denis
2015
$$L^2$$-type contraction for systems of conservation laws. Zbl 1310.62079
Serre, Denis; Vasseur, Alexis F.
2014
Multi-dimensional systems of conservation laws: an introductory lecture. Zbl 1288.35348
Serre, Denis
2014
The hyperbolic/elliptic transition in the multi-dimensional Riemann problem. Zbl 1293.35174
Serre, Denis; Freistühler, Heinrich
2013
Numerical measure of a complex matrix. Zbl 1244.15015
Gallay, Thierry; Serre, Denis
2012
Viscous system of conservation laws: singular limits. Zbl 1248.35102
Serre, Denis
2011
Three-dimensional interaction of shocks in irrotational flows. Zbl 1233.35142
Serre, Denis
2011
Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001
Serre, Denis
2010
Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003
Serre, Denis
2010
The structure of dissipative viscous system of conservation laws. Zbl 1193.37012
Serre, Denis
2010
Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics. Zbl 1179.01022
Serre, Denis
2010
Local existence for viscous system of conservation laws: $$H^s$$-data with $$s>1+d/2$$. Zbl 1223.35230
Serre, Denis
2010
Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025
Serre, Denis
2009
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
2008
Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics. Zbl 1140.35523
Lattanzio, C.; Mascia, C.; Serre, D.
2008
Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Zbl 1126.35003
Benzoni-Gavage, Sylvie (ed.); Serre, Denis (ed.)
2008
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
2007
Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062
2007
Discrete shock profiles: Existence and stability. Zbl 1128.65068
Serre, Denis
2007
Second order initial boundary-value problems of variational type. Zbl 1254.35138
Serre, Denis
2006
Asymptotic behavior of solutions to conservation laws with periodic forcing. Zbl 1097.35031
2006
Spectral stability of periodic solutions of viscous conservation laws: large wavelength analysis. Zbl 1131.35046
Serre, Denis
2005
On the $$L^2$$-well posedness of an initial boundary value problem for the 3D linear elasticity. Zbl 1092.35059
Morando, Alessandro; Serre, Denis
2005
Solvability of hyperbolic IBVPs through filtering. Zbl 1114.35118
Serre, Denis
2005
Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws. Zbl 1105.35138
2005
A result of $$L^2$$-well posedness concerning the system of linear elasticity in 2D. Zbl 1092.35058
Morando, Alessandro; Serre, Denis
2005
A remark on Y. Brenier’s approach to Born-Infeld electro-magnetic fields. Zbl 1096.78004
Serre, Denis
2005
$$L^1$$-stability of nonlinear waves in scalar conservation laws. Zbl 1079.35064
Serre, Denis
2004
Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005
Serre, Denis
2004
Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067
Ruggeri, Tommaso; Serre, Denis
2004
Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002
Friedlander, S. (ed.); Serre, D. (ed.)
2004
$$L^1$$-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
2003
Chute stationnaire d’un solide dans un fluide visqueux incompressible le long d’un plan incliné. (Free steady fall of a solid in a fluid, along a ramp). Zbl 1044.35053
Hillairet, M.; Serre, D.
2003
Handbook of mathematical fluid dynamics. Vol. II. Zbl 1011.00020
Friedlander, S. (ed.); Serre, D. (ed.)
2003
Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001
Serre, Denis
2002
Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165
Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis
2002
Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001
Friedlander, S. (ed.); Serre, D. (ed.)
2002
Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394
Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis
2002
Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028
Serre, Denis; Zumbrun, Kevin
2001
Alternate Evans functions and viscous shock waves. Zbl 0985.34075
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
2001
Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Zbl 0983.35086
2001
Transition to instability for multidimensional shock waves. Zbl 1078.35521
Serre, Denis
2001
The $$L^1$$-stability of boundary layers for scalar viscous conservation laws. Zbl 0993.35063
Freistühler, Heinrich; Serre, Denis
2001
Matrices. Theory and applications. Zbl 1008.15002
Serre, Denis
2001
Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). Zbl 0963.35009
Serre, Denis
2001
Asymptotics of homogeneous oscillations in a compressible viscous fluid. Zbl 1034.76052
Serre, Denis
2001
Systems of conservation laws: A challenge for the XXIst century. Zbl 1005.35002
Serre, Denis
2001
Semi-linear and kinetic relaxation for systems of conservation laws. Zbl 0963.35117
Serre, Denis
2000
Systems of conservation laws 2. Geometric structures, oscillations, and initial-boundary value problems. Translated from the French by I. N. Sneddon. Zbl 0936.35001
Serre, Denis
2000
$$L^1$$-decay and the stability of shock profiles. Zbl 0938.35098
Serre, D.
2000
Special issue for R. Temam’s 60th birthday. Zbl 0945.00029
Serre, D. (ed.); Strang, G. (ed.)
2000
Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001
Serre, Denis
1999
Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027
Zumbrun, K.; Serre, D.
1999
$$L^1$$-stability of travelling waves in scalar conservation laws. Zbl 1063.35520
Serre, Denis
1999
Shock layers interactions for a relaxation approximation to conservation laws. Zbl 0941.35053
1999
Discrete shock profiles and their stability. Zbl 0928.35102
Serre, Denis
1999
Linear growth of vorticity in perfect flows. Zbl 0938.76017
Serre, Denis
1999
$$\mathfrak{L}^1$$ stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046
Freistühler, Heinrich; Serre, Denis
1998
Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083
Bultelle, Matthieu; Grassin, Magali; Serre, Denis
1998
Solutions globales $$(-\infty<t<+\infty)$$ des systèmes paraboliques de lois de conservation. (Global solutions $$(-\infty<t<+\infty)$$ of parabolic systems of conservation laws.). Zbl 0917.35076
Serre, Denis
1998
Linear stability of shock profiles for a rate-type viscoelastic system with relaxation. Zbl 0985.35043
Luo, Tao; Serre, Denis
1998
Solutions classiques globales des équations d’Euler pour un fluide parfait compressible. (Global smooth solutions for the Euler equations of a perfect compressible fluid.). Zbl 0864.35069
Serre, Denis
1997
Asymptotic behavior of large weak entropy solutions of the damped $$p$$-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
1997
Existence of global and regular solutions to Euler equations for an isentropic perfect gas. Zbl 0887.35125
Grassin, Magali; Serre, Denis
1997
Boundary value problem for a strictly hyperbolic system related with the Godunov scheme. Zbl 0873.65087
Gisclon, Marguerite; Serre, Denis
1997
Slow dynamics of linear waves in nonlinear systems of conservation laws. Zbl 0880.35070
Hubert, Florence; Serre, Denis
1997
Systems of conservation laws. I: Hyperbolicity, entropy, shock waves. Zbl 0930.35002
Serre, Denis
1996
Systems of conservation laws. II: Geometric structures, oscillations and mixed problems. Zbl 0930.35003
Serre, Denis
1996
Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069
Hsiao, Ling; Serre, Denis
1996
Remarks about the discrete profiles of shock waves. Zbl 0864.35074
Serre, Denis
1996
Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080
Hubert, Florence; Serre, Denis
1996
Spiral waves for the 2D Riemann problem for a compressible fluid. Zbl 0873.76071
Serre, Denis
1996
Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0846.35010
Hubert, Florence; Serre, Denis
1996
Flows of perfect fluids having two independent space-like variables. Reflection of a plane shock by a compressible wedge. Zbl 0838.76077
Serre, Denis
1995
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
1995
Nonlinear hyperbolic oscillations of large amplitude; $$\text{DIM} \geq 2$$. Zbl 0843.35054
Serre, D.
1995
Study of boundary conditions for a strictly hyperbolic system via the parabolic approximation. Zbl 0808.35075
Gisclon, Marguerite; Serre, Denis
1994
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
Ercolani, N. M. (ed.); Gabitov, I. R. (ed.); Levermore, C. D. (ed.); Serre, D. (ed.)
1994
Rich hyperbolic systems with conservation laws. Zbl 0870.35067
Serre, Denis
1994
Compensated compactness for a class of hyperbolic systems of $$p\geq 3$$ conservation laws. Zbl 0834.35081
Benzoni-Gavage, Sylvie; Serre, Denis
1994
Entropy of the liquid-vapour mixture of a thermo-capillary fluid. Zbl 0828.76083
Serre, Denis
1994
Nonlinear oscillations of high frequency; dim = 1. Zbl 0824.35070
Serre, D.
1994
On the variational principle for the equations of perfect fluid dynamics. Zbl 0788.76065
Serre, D.
1993
Existence of solutions for a class of hyperbolic systems of $$p$$ conservation laws $$(p\geq 3)$$. Zbl 0921.35102
Benzoni-Gavage, Sylvie; Serre, Denis
1993
Compensated compactness for a class of hyperbolic systems of $$p$$ conservation laws with $$p\geq 3$$. Zbl 0834.35080
Benzoni-Gavage, Sylvie; Serre, Denis
1993
Sur un problème d’optimisation lié aux équations de Navier-Stokes. Zbl 0797.49006
Rakotoson, J. M.; Serre, D.
1993
On a functional equation. Zbl 0793.39005
Serre, Denis
1993
The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101
Li, Ta-Tsien; Serre, D.; Zhang, Hao
1992
Correctors for the homogenization of conservation laws with oscillatory forcing terms. Zbl 0766.35026
Weinan, E.; Serre, Denis
1992
Integrability of a class of systems of conservation laws. Zbl 0769.35040
Serre, Denis
1992
...and 44 more Documents
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Cited by 1,431 Authors

 59 Zumbrun, Kevin R. 39 Serre, Denis 32 Chen, Gui-Qiang G. 27 Feireisl, Eduard 20 Coulombel, Jean-François 20 Vasseur, Alexis F. 19 Zhu, Changjiang 18 Xin, Zhouping 17 Frid, Hermano 17 Shao, Zhiqiang 15 Johnson, Mathew A. 13 Guès, Olivier 12 Humpherys, Jeffrey 12 Kang, Moon-Jin 12 Kong, Dexing 12 Métivier, Guy 12 Morando, Alessandro 12 Nečasová, Šárka 12 Pan, Ronghua 12 Rodrigues, Luis Miguel 12 Temam, Roger Meyer 12 Wang, Jing 12 Wang, Weike 12 Williams, Mark 12 Yang, Tong 11 Barker, Blake 11 Berthelin, Florent 11 Peng, Yuejun 11 Takahashi, Takéo 11 Yong, Wen-An 10 Christoforou, Cleopatra C. 10 Noble, Pascal 10 Secchi, Paolo 10 Trakhinin, Yuri L. 10 Trebeschi, Paola 9 Colombo, Rinaldo M. 9 Hoff, David 9 Huang, Feimin 9 Lu, Yunguang 9 Lyng, Gregory Daniel 9 Xie, Feng 8 Benzoni-Gavage, Sylvie 8 Bresch, Didier 8 Corli, Andrea 8 Després, Bruno 8 Fang, Daoyuan 8 Freistühler, Heinrich 8 Guo, Zhenhua 8 Hillairet, Matthieu 8 Perthame, Benoît 8 Rousset, Frédéric 8 Ruan, Lizhi 8 Zhang, Ting 7 Coquel, Frédéric 7 Dafermos, Constantine M. 7 Ducomet, Bernard 7 Ferapontov, Evgeny Vladimirovich 7 Lai, Geng 7 Li, Hailiang 7 Li, Yachun 7 Rohde, Christian 7 Seguin, Nicolas 7 Shen, Chun 7 Sueur, Franck 7 Wang, Ya-Guang 7 Xiang, Wei 6 Brenier, Yann 6 Cheverry, Christophe 6 Coclite, Giuseppe Maria 6 Ghoshal, Shyam Sundar 6 Giovangigli, Vincent 6 Howard, Peter 6 Jang, Juhi 6 Jiu, Quansen 6 Kreml, Ondřej 6 Li, Jing 6 Li, Tatsien 6 Natalini, Roberto 6 Qin, Yuming 6 Sheng, Wancheng 6 Wang, Dehua 6 Wang, Yi 6 Zhao, Huijiang 6 Zhao, Junning 5 Amadori, Debora 5 Bialy, Misha 5 Bouchut, François 5 Bronski, Jared C. 5 Dalibard, Anne-Laure 5 Deng, Shijin 5 Goudon, Thierry 5 Haspot, Boris 5 Huang, Aimin 5 Huang, Xiangdi 5 Karlsen, Kenneth Hvistendahl 5 Kawashima, Shuichi 5 Keyfitz, Barbara Lee 5 Klingenberg, Christian 5 LeFloch, Philippe Gerard 5 Marcati, Pierangelo ...and 1,331 more Authors
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Cited in 250 Serials

 156 Journal of Differential Equations 118 Archive for Rational Mechanics and Analysis 64 Journal of Mathematical Analysis and Applications 40 Journal of Hyperbolic Differential Equations 39 Communications in Mathematical Physics 35 Communications in Partial Differential Equations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Physica D 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Journal of Computational Physics 25 Applied Mathematics Letters 25 SIAM Journal on Mathematical Analysis 24 Journal of Mathematical Physics 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Discrete and Continuous Dynamical Systems 19 Quarterly of Applied Mathematics 18 Mathematics of Computation 18 Communications on Pure and Applied Analysis 17 Mathematical Methods in the Applied Sciences 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Nonlinear Analysis. Real World Applications 13 Transactions of the American Mathematical Society 11 Science China. Mathematics 10 Calculus of Variations and Partial Differential Equations 10 Journal of Mathematical Fluid Mechanics 9 Journal of Statistical Physics 9 Applied Mathematics and Computation 9 Numerische Mathematik 9 Proceedings of the American Mathematical Society 9 Chinese Annals of Mathematics. Series B 9 Linear Algebra and its Applications 9 Journal of Dynamics and Differential Equations 9 Journal of Nonlinear Science 8 Journal of Functional Analysis 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Applicable Analysis 7 Communications on Pure and Applied Mathematics 7 Annales de l’Institut Fourier 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of Scientific Computing 7 Kinetic and Related Models 7 Nonlinear Analysis. Theory, Methods & Applications 6 Nonlinearity 6 Acta Applicandae Mathematicae 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Discrete and Continuous Dynamical Systems. Series B 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Journal de l’École Polytechnique – Mathématiques 5 Computers and Fluids 5 Advances in Mathematics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Journal of Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Advances in Mathematical Physics 4 Computers & Mathematics with Applications 4 Mathematical Notes 4 Physics Letters. A 4 Inventiones Mathematicae 4 Ricerche di Matematica 4 SIAM Journal on Numerical Analysis 4 Studies in Applied Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Numerical Mathematics 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Continuum Mechanics and Thermodynamics 4 Journal of Mathematical Sciences (New York) 4 Annales Mathématiques Blaise Pascal 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Boundary Value Problems 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Networks and Heterogeneous Media 3 Computer Methods in Applied Mechanics and Engineering 3 Wave Motion 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Advances in Applied Mathematics 3 Journal of Integral Equations and Applications 3 Applications of Mathematics 3 Journal of Elasticity 3 Proceedings of the National Academy of Sciences of the United States of America 3 SIAM Journal on Applied Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 SIAM Journal on Scientific Computing 3 Abstract and Applied Analysis 3 European Journal of Mechanics. B. Fluids 3 Mediterranean Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Nonlinear Analysis 3 Séminaire Laurent Schwartz. EDP et Applications 2 International Journal of Engineering Science 2 International Journal for Numerical Methods in Fluids 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of Engineering Mathematics 2 Linear and Multilinear Algebra 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 150 more Serials
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Cited in 56 Fields

 1,175 Partial differential equations (35-XX) 635 Fluid mechanics (76-XX) 134 Numerical analysis (65-XX) 99 Mechanics of deformable solids (74-XX) 58 Dynamical systems and ergodic theory (37-XX) 47 Statistical mechanics, structure of matter (82-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 32 Ordinary differential equations (34-XX) 31 Optics, electromagnetic theory (78-XX) 28 Probability theory and stochastic processes (60-XX) 28 Classical thermodynamics, heat transfer (80-XX) 27 Operator theory (47-XX) 26 Differential geometry (53-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 20 Biology and other natural sciences (92-XX) 19 Mechanics of particles and systems (70-XX) 19 Quantum theory (81-XX) 19 Operations research, mathematical programming (90-XX) 19 Systems theory; control (93-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Real functions (26-XX) 14 Functional analysis (46-XX) 12 Integral equations (45-XX) 12 Relativity and gravitational theory (83-XX) 10 Geophysics (86-XX) 8 Astronomy and astrophysics (85-XX) 7 Measure and integration (28-XX) 7 Computer science (68-XX) 6 Algebraic geometry (14-XX) 6 Topological groups, Lie groups (22-XX) 6 Difference and functional equations (39-XX) 6 Convex and discrete geometry (52-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Statistics (62-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

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