Edit Profile (opens in new tab) Serre, Denis Co-Author Distance Author ID: serre.denis Published as: Serre, Denis; Serre, D. Homepage: http://perso.ens-lyon.fr/serre/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 181 Publications since 1978, including 9 Books and 2 Additional arXiv Preprints 9 Contributions as Editor Biographic References: 1 Publication Co-Authors: 45 Co-Authors with 67 Joint Publications 1,648 Co-Co-Authors all top 5 Co-Authors 122 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 Leo 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 all top 5 Serials 19 Comptes Rendus de l’Académie des Sciences. Série I 8 Archive for Rational Mechanics and Analysis 6 Communications in Partial Differential Equations 5 Annales de l’Institut Fourier 5 Journal of Differential Equations 5 Quarterly of Applied Mathematics 5 Physica D 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Applied Mathematics Letters 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. Mathématique. Académie des Sciences, Paris 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 Milan Journal of Mathematics 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 NATO ASI Series. Series B. Physics 1 Matapli 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 Oxford Mathematical Monographs 1 European Mathematical Society Magazine all top 5 Fields 159 Partial differential equations (35-XX) 65 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 12 Mechanics of deformable solids (74-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 Functional analysis (46-XX) 8 Optics, electromagnetic theory (78-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-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 Differential geometry (53-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 2,282 times in 1,730 Documents Cited by ▼ Year ▼ Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001 Benzoni-Gavage, Sylvie; Serre, Denis 212 2007 Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001 Serre, Denis 148 1999 The failure of continuous dependence on initial data for the Navier- Stokes equations of compressible flow. Zbl 0741.35057 Hoff, David; Serre, Denis 86 1991 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 83 1987 Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025 Serre, Denis 74 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 65 2000 Systems of conservation laws. I: Hyperbolicity, entropy, shock waves. (Systèmes de lois de conservation. I: Hyperbolicité, entropies, ondes de choc.) Zbl 0930.35002 Serre, Denis 60 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 56 1986 Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027 Zumbrun, K.; Serre, D. 53 1999 Semi-linear and kinetic relaxation for systems of conservation laws. (Relaxations semi-linéaire et cinétique des systèmes de lois de conservation.) Zbl 0963.35117 Serre, Denis 52 2000 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 52 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 49 1997 Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069 Hsiao, Ling; Serre, Denis 48 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 42 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 41 1986 Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001 Serre, Denis 39 2002 \(\mathfrak{L}^1\) stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046 Freistühler, Heinrich; Serre, Denis 36 1998 Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028 Serre, Denis; Zumbrun, Kevin 31 2001 Spectral stability of periodic solutions of viscous conservation laws: large wavelength analysis. Zbl 1131.35046 Serre, Denis 31 2005 Systems of conservation laws. II: Geometric structures, oscillations and mixed problems. (Systèmes de lois de conservation. II: Structures géométriques, oscillations et problèmes mixtes.) Zbl 0930.35003 Serre, Denis 30 1996 \(L^1\)-stability of nonlinear waves in scalar conservation laws. Zbl 1079.35064 Serre, Denis 30 2004 \(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047 Serre, Denis 29 2003 Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165 Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis 28 2002 Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067 Ruggeri, Tommaso; Serre, Denis 27 2004 Alternate Evans functions and viscous shock waves. Zbl 0985.34075 Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin 26 2001 Large amplitude variations for the density of a viscous compressible fluid. (Variations de grande amplitude pour la densité d’un fluide visqueux compressible.) Zbl 0739.35071 Serre, Denis 26 1991 Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001 Serre, Denis 25 2010 Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005 Serre, Denis 24 2004 Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062 Lattanzio, Corrado; Mascia, Corrado; Serre, Denis 24 2007 Study of boundary conditions for a strictly hyperbolic system via the parabolic approximation. (Étude des conditions aux limites pour un système strictement hyperbolique via l’approximation parabolique.) Zbl 0808.35075 Gisclon, Marguerite; Serre, Denis 23 1994 \(L^2\)-type contraction for systems of conservation laws. (Contraction de type \(L^2\) pour des systèmes de lois de conservation.) Zbl 1310.62079 Serre, Denis; Vasseur, Alexis F. 23 2014 Existence of global and regular solutions to Euler equations for an isentropic perfect gas. (Existence de solutions globales et régulières aux équations d’Euler pour un gaz parfait isentropique.) Zbl 0887.35125 Grassin, Magali; Serre, Denis 21 1997 Equations de Navier-Stokes stationnaires avec données peu régulières. Zbl 0559.35064 Serre, Denis 20 1983 \(L^1\)-stability of travelling waves in scalar conservation laws. (Stabilité \(L^1\) d’ondes progressives de lois de conservation scalaires.) Zbl 1063.35520 Serre, Denis 19 1999 Asymptotic behavior of large weak entropy solutions of the damped \(p\)-system. Zbl 0891.35092 Serre, Denis; Xiao, Ling 18 1997 Richness and the classification of quasilinear hyperbolic systems. Zbl 0760.35028 Serre, Denis 18 1991 Flows of perfect fluids having two independent space-like variables. Reflection of a plane shock by a compressible wedge. (Écoulements de fluides parfaits en deux variables indépendantes de type espace. Réflexion d’un choc plan par un dièdre compressif.) Zbl 0838.76077 Serre, Denis 17 1995 Expansion of a compressible gas in vacuum. Zbl 1328.76059 Serre, Denis 17 2015 About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138 Serre, Denis; Vasseur, Alexis F. 17 2016 The structure of dissipative viscous system of conservation laws. Zbl 1193.37012 Serre, Denis 17 2010 Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181 Serre, Denis 17 2018 Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083 Bultelle, Matthieu; Grassin, Magali; Serre, Denis 16 1998 Formes quadratiques et calcul des variations. Zbl 0529.49005 Serre, D. 15 1983 Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003 Serre, Denis 15 2010 The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101 Li, Ta-Tsien; Serre, D.; Zhang, Hao 14 1992 Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Zbl 0983.35086 Lattanzio, Corrado; Serre, Denis 13 2001 Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396 Serre, Denis; Silvestre, Luis 13 2019 Numerical measure of a complex matrix. Zbl 1244.15015 Gallay, Thierry; Serre, Denis 12 2012 Domaines invariants pour les systèmes hyperboliques de lois de conservation. (Invariant domains for hyperbolic systems of the conservation law). Zbl 0626.35061 Serre, Denis 11 1987 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 11 1987 Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010 Pego, Robert L.; Serre, Denis 11 1988 Plane waves in nonlinear electromagnetism. (Les ondes planes en electromagnétisme non linéaire.) Zbl 0736.35133 Serre, Denis 11 1988 Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations. Zbl 0733.35021 Demengel, F.; Serre, D. 11 1991 Correctors for the homogenization of conservation laws with oscillatory forcing terms. Zbl 0766.35026 Weinan, E.; Serre, Denis 11 1992 The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169 Serre, Denis; Vasseur, Alexis 11 2016 Boundary value problem for a strictly hyperbolic system related with the Godunov scheme. (Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov.) Zbl 0873.65087 Gisclon, Marguerite; Serre, Denis 10 1997 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. 10 2003 Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001 10 2002 Local existence for viscous system of conservation laws: \(H^s\)-data with \(s>1+d/2\). Zbl 1223.35230 Serre, Denis 9 2010 Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics. Zbl 1179.01022 Serre, Denis 9 2010 Transition to instability for multidimensional shock waves. (La transition vers l’instabilité pour les ondes de choc multi-dimensionnelles.) Zbl 1078.35521 Serre, Denis 9 2001 Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235 Serre, Denis 9 2019 Second order initial boundary-value problems of variational type. Zbl 1254.35138 Serre, Denis 8 2006 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 8 1984 Nonlinear oscillations of hyperbolic systems: Methods and qualitative results. (Oscillations non linéaires des systèmes hyperboliques: Méthodes et résultats qualitatifs.) Zbl 0810.35060 Serre, Denis 8 1991 Remarks about the discrete profiles of shock waves. Zbl 0864.35074 Serre, Denis 8 1996 Condition de Legendre-Hadamard: espaces de matrices de rang = 1. Zbl 0478.49006 Serre, Denis 7 1981 Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022 Hsiao, Ling; Serre, Denis 7 1995 On the variational principle for the equations of perfect fluid dynamics. (Sur le principe variationnel des équations de la mécanique des fluides parfaits.) Zbl 0788.76065 Serre, D. 7 1993 Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws. (Compacité par compensation pour une classe de systèmes hyperboliques de \(p\geq 3\) lois de conservation.) Zbl 0834.35081 Benzoni-Gavage, Sylvie; Serre, Denis 6 1994 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 6 1984 Un modèle relaxé pour les câbles inextensibles. (Inextensible string: A new model via relaxation). Zbl 0725.73100 Serre, Denis 6 1991 Rich hyperbolic systems with conservation laws. (Systèmes hyperboliques riches de lois de conservation.) Zbl 0870.35067 Serre, Denis 6 1994 Discrete shock profiles: Existence and stability. Zbl 1128.65068 Serre, Denis 6 2007 Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002 6 2004 Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212 Serre, Denis 6 2016 Matrices. Theory and applications. (Les matrices: théorie et pratique.) Zbl 1008.15002 Serre, Denis 6 2001 Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031 5 1994 The \(L^1\)-stability of boundary layers for scalar viscous conservation laws. Zbl 0993.35063 Freistühler, Heinrich; Serre, Denis 5 2001 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 5 1985 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 5 1988 Integrability of a class of systems of conservation laws. (Intégrabilité d’une classe de systèmes de lois de conservation.) Zbl 0769.35040 Serre, Denis 5 1992 Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080 Hubert, Florence; Serre, Denis 5 1996 Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060 Serre, Denis 5 2021 Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics. Zbl 1140.35523 Lattanzio, C.; Mascia, C.; Serre, D. 4 2008 \(L^1\)-decay and the stability of shock profiles. Zbl 0938.35098 Serre, D. 4 2000 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 4 1998 Une approche algébrique du problème de Riemann. (An algebraic approach for the Riemann problem). Zbl 0691.35060 Heibig, Arnaud; Serre, Denis 4 1989 Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). Zbl 0963.35009 Serre, Denis 4 2001 Systems of conservation laws: A challenge for the XXIst century. Zbl 1005.35002 Serre, Denis 4 2001 On the \(L^2\)-well posedness of an initial boundary value problem for the 3D linear elasticity. Zbl 1092.35059 Morando, Alessandro; Serre, Denis 4 2005 Un système hyperbolique non linéaire avec des données oscillantes. (Oscillating data in one nonlinear hyperbolic system). Zbl 0606.35050 Serre, Denis 4 1986 Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws. Zbl 1105.35138 Neves, Wladimir; Serre, Denis 4 2005 Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas. Zbl 1346.76177 Serre, Denis 4 2016 Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060 Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin 4 2008 On the upper semicontinuity of a quasiconcave functional. Zbl 1451.49016 De Rosa, Luigi; Serre, Denis; Tione, Riccardo 4 2020 Handbook of mathematical fluid dynamics 4. Zbl 1152.76001 3 2007 Viscous system of conservation laws: singular limits. Zbl 1248.35102 Serre, Denis 3 2011 Entropy of the liquid-vapour mixture of a thermo-capillary fluid. (Entropie du mélange liquide-vapeur d’un fluide thermo-capillaire.) Zbl 0828.76083 Serre, Denis 3 1994 Three-dimensional interaction of shocks in irrotational flows. Zbl 1233.35142 Serre, Denis 3 2011 Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics. Zbl 1516.35320 Serre, Denis 1 2023 Symmetric divergence-free tensors in the calculus of variations. Zbl 1505.37072 Serre, Denis 1 2022 Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060 Serre, Denis 5 2021 Source-solutions for the multi-dimensional Burgers equation. Zbl 07298822 Serre, Denis 3 2021 A priori estimates from first principles in gas dynamics. Zbl 1478.76059 Serre, Denis 1 2021 On the upper semicontinuity of a quasiconcave functional. Zbl 1451.49016 De Rosa, Luigi; Serre, Denis; Tione, Riccardo 4 2020 Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396 Serre, Denis; Silvestre, Luis 13 2019 Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235 Serre, Denis 9 2019 Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181 Serre, Denis 17 2018 Periodic homogenization in terms of differential forms. Zbl 07002422 Serre, Denis 1 2018 About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138 Serre, Denis; Vasseur, Alexis F. 17 2016 The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169 Serre, Denis; Vasseur, Alexis 11 2016 Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212 Serre, Denis 6 2016 Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas. Zbl 1346.76177 Serre, Denis 4 2016 Expansion of a compressible gas in vacuum. Zbl 1328.76059 Serre, Denis 17 2015 The reverse Hlawka inequality in a Minkowski space. (L’inégalité de Hlawka inverse dans un espace de Minkowski.) Zbl 1322.51002 Serre, Denis 3 2015 \(L^2\)-type contraction for systems of conservation laws. (Contraction de type \(L^2\) pour des systèmes de lois de conservation.) Zbl 1310.62079 Serre, Denis; Vasseur, Alexis F. 23 2014 Multi-dimensional systems of conservation laws: an introductory lecture. Zbl 1288.35348 Serre, Denis 1 2014 The hyperbolic/elliptic transition in the multi-dimensional Riemann problem. Zbl 1293.35174 Serre, Denis; Freistühler, Heinrich 1 2013 Numerical measure of a complex matrix. Zbl 1244.15015 Gallay, Thierry; Serre, Denis 12 2012 Viscous system of conservation laws: singular limits. Zbl 1248.35102 Serre, Denis 3 2011 Three-dimensional interaction of shocks in irrotational flows. Zbl 1233.35142 Serre, Denis 3 2011 Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001 Serre, Denis 25 2010 The structure of dissipative viscous system of conservation laws. Zbl 1193.37012 Serre, Denis 17 2010 Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003 Serre, Denis 15 2010 Local existence for viscous system of conservation laws: \(H^s\)-data with \(s>1+d/2\). Zbl 1223.35230 Serre, Denis 9 2010 Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics. Zbl 1179.01022 Serre, Denis 9 2010 Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025 Serre, Denis 74 2009 Non-linear electromagnetism and special relativity. Zbl 1161.78004 Serre, Denis 1 2009 Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics. Zbl 1140.35523 Lattanzio, C.; Mascia, C.; Serre, D. 4 2008 Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060 Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin 4 2008 Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001 Benzoni-Gavage, Sylvie; Serre, Denis 212 2007 Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062 Lattanzio, Corrado; Mascia, Corrado; Serre, Denis 24 2007 Discrete shock profiles: Existence and stability. Zbl 1128.65068 Serre, Denis 6 2007 Handbook of mathematical fluid dynamics 4. Zbl 1152.76001 3 2007 Second order initial boundary-value problems of variational type. Zbl 1254.35138 Serre, Denis 8 2006 Asymptotic behavior of solutions to conservation laws with periodic forcing. Zbl 1097.35031 Amadori, Debora; Serre, Denis 2 2006 Spectral stability of periodic solutions of viscous conservation laws: large wavelength analysis. Zbl 1131.35046 Serre, Denis 31 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 4 2005 Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws. Zbl 1105.35138 Neves, Wladimir; Serre, Denis 4 2005 Solvability of hyperbolic IBVPs through filtering. Zbl 1114.35118 Serre, Denis 2 2005 The incompleteness of the Born-Infeld model for nonlinear multi-D Maxwell’s equations. Zbl 1100.35102 Neves, Wladimir; Serre, Denis 2 2005 A result of \(L^2\)-well posedness concerning the system of linear elasticity in 2D. Zbl 1092.35058 Morando, Alessandro; Serre, Denis 1 2005 A remark on Y. Brenier’s approach to Born-Infeld electro-magnetic fields. Zbl 1096.78004 Serre, Denis 1 2005 \(L^1\)-stability of nonlinear waves in scalar conservation laws. Zbl 1079.35064 Serre, Denis 30 2004 Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067 Ruggeri, Tommaso; Serre, Denis 27 2004 Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005 Serre, Denis 24 2004 Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002 6 2004 \(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047 Serre, Denis 29 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. 10 2003 Handbook of mathematical fluid dynamics. Vol. II. Zbl 1011.00020 2 2003 Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001 Serre, Denis 39 2002 Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165 Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis 28 2002 Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001 10 2002 Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394 Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis 3 2002 Stability of viscosity shock waves that can be characteristic. (Stabilité des ondes de choc de viscosité qui peuvent être caractéristiques.) Zbl 1034.35076 Serre, D. 1 2002 Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028 Serre, Denis; Zumbrun, Kevin 31 2001 Alternate Evans functions and viscous shock waves. Zbl 0985.34075 Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin 26 2001 Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Zbl 0983.35086 Lattanzio, Corrado; Serre, Denis 13 2001 Transition to instability for multidimensional shock waves. (La transition vers l’instabilité pour les ondes de choc multi-dimensionnelles.) Zbl 1078.35521 Serre, Denis 9 2001 Matrices. Theory and applications. (Les matrices: théorie et pratique.) Zbl 1008.15002 Serre, Denis 6 2001 The \(L^1\)-stability of boundary layers for scalar viscous conservation laws. Zbl 0993.35063 Freistühler, Heinrich; Serre, Denis 5 2001 Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). Zbl 0963.35009 Serre, Denis 4 2001 Systems of conservation laws: A challenge for the XXIst century. Zbl 1005.35002 Serre, Denis 4 2001 Asymptotics of homogeneous oscillations in a compressible viscous fluid. Zbl 1034.76052 Serre, Denis 3 2001 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 65 2000 Semi-linear and kinetic relaxation for systems of conservation laws. (Relaxations semi-linéaire et cinétique des systèmes de lois de conservation.) Zbl 0963.35117 Serre, Denis 52 2000 \(L^1\)-decay and the stability of shock profiles. Zbl 0938.35098 Serre, D. 4 2000 Special issue for R. Temam’s 60th birthday. Zbl 0945.00029 2 2000 Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001 Serre, Denis 148 1999 Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027 Zumbrun, K.; Serre, D. 53 1999 \(L^1\)-stability of travelling waves in scalar conservation laws. (Stabilité \(L^1\) d’ondes progressives de lois de conservation scalaires.) Zbl 1063.35520 Serre, Denis 19 1999 Linear growth of vorticity in perfect flows. (La croissance de la vorticité dans les écoulements parfaits incompressibles.) Zbl 0938.76017 Serre, Denis 2 1999 Shock layers interactions for a relaxation approximation to conservation laws. Zbl 0941.35053 Lattanzio, Corrado; Serre, Denis 2 1999 Discrete shock profiles and their stability. Zbl 0928.35102 Serre, Denis 2 1999 \(\mathfrak{L}^1\) stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046 Freistühler, Heinrich; Serre, Denis 36 1998 Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083 Bultelle, Matthieu; Grassin, Magali; Serre, Denis 16 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 4 1998 Linear stability of shock profiles for a rate-type viscoelastic system with relaxation. Zbl 0985.35043 Luo, Tao; Serre, Denis 1 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 49 1997 Existence of global and regular solutions to Euler equations for an isentropic perfect gas. (Existence de solutions globales et régulières aux équations d’Euler pour un gaz parfait isentropique.) Zbl 0887.35125 Grassin, Magali; Serre, Denis 21 1997 Asymptotic behavior of large weak entropy solutions of the damped \(p\)-system. Zbl 0891.35092 Serre, Denis; Xiao, Ling 18 1997 Boundary value problem for a strictly hyperbolic system related with the Godunov scheme. (Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov.) Zbl 0873.65087 Gisclon, Marguerite; Serre, Denis 10 1997 Slow dynamics of linear waves in nonlinear systems of conservation laws. Zbl 0880.35070 Hubert, Florence; Serre, Denis 1 1997 Systems of conservation laws. I: Hyperbolicity, entropy, shock waves. (Systèmes de lois de conservation. I: Hyperbolicité, entropies, ondes de choc.) Zbl 0930.35002 Serre, Denis 60 1996 Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069 Hsiao, Ling; Serre, Denis 48 1996 Systems of conservation laws. II: Geometric structures, oscillations and mixed problems. (Systèmes de lois de conservation. II: Structures géométriques, oscillations et problèmes mixtes.) Zbl 0930.35003 Serre, Denis 30 1996 Remarks about the discrete profiles of shock waves. Zbl 0864.35074 Serre, Denis 8 1996 Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080 Hubert, Florence; Serre, Denis 5 1996 Spiral waves for the 2D Riemann problem for a compressible fluid. (Ondes spirales pour le problème de Riemann 2-D d’un fluide compressible.) Zbl 0873.76071 Serre, Denis 3 1996 Flows of perfect fluids having two independent space-like variables. Reflection of a plane shock by a compressible wedge. (Écoulements de fluides parfaits en deux variables indépendantes de type espace. Réflexion d’un choc plan par un dièdre compressif.) Zbl 0838.76077 Serre, Denis 17 1995 Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022 Hsiao, Ling; Serre, Denis 7 1995 Nonlinear hyperbolic oscillations of large amplitude; \(\text{DIM} \geq 2\). (Oscillations non-linéaires hyperboliques de grande amplitude; \(\text{DIM}\geq 2\).) Zbl 0843.35054 Serre, D. 2 1995 Study of boundary conditions for a strictly hyperbolic system via the parabolic approximation. (Étude des conditions aux limites pour un système strictement hyperbolique via l’approximation parabolique.) Zbl 0808.35075 Gisclon, Marguerite; Serre, Denis 23 1994 Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws. (Compacité par compensation pour une classe de systèmes hyperboliques de \(p\geq 3\) lois de conservation.) Zbl 0834.35081 Benzoni-Gavage, Sylvie; Serre, Denis 6 1994 Rich hyperbolic systems with conservation laws. (Systèmes hyperboliques riches de lois de conservation.) Zbl 0870.35067 Serre, Denis 6 1994 Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031 5 1994 Entropy of the liquid-vapour mixture of a thermo-capillary fluid. (Entropie du mélange liquide-vapeur d’un fluide thermo-capillaire.) Zbl 0828.76083 Serre, Denis 3 1994 Nonlinear oscillations of high frequency; dim = 1. (Oscillations non-linéaires de haute fréquence; dim = 1.) Zbl 0824.35070 Serre, D. 2 1994 On the variational principle for the equations of perfect fluid dynamics. (Sur le principe variationnel des équations de la mécanique des fluides parfaits.) Zbl 0788.76065 Serre, D. 7 1993 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,712 Authors 61 Zumbrun, Kevin R. 47 Serre, Denis 36 Chen, Gui-Qiang G. 29 Feireisl, Eduard 27 Vasseur, Alexis F. 22 Coulombel, Jean-François 20 Nečasová, Šárka 20 Zhu, Changjiang 19 Frid, Hermano 19 Shao, Zhiqiang 19 Xin, Zhouping 17 Huang, Feimin 16 Yong, Wen-An 15 Johnson, Mathew A. 15 Kang, Moon-Jin 15 Rodrigues, Luis Miguel 14 Hillairet, Matthieu 14 Métivier, Guy 13 Bresch, Didier 13 Guès, Olivier 13 Morando, Alessandro 13 Noble, Pascal 13 Pan, Ronghua 13 Secchi, Paolo 13 Takahashi, Takéo 12 Barker, Blake 12 Coclite, Giuseppe Maria 12 Ducomet, Bernard 12 Humpherys, Jeffrey 12 Lai, Geng 12 Ruan, Lizhi 12 Temam, Roger Meyer 12 Wang, Jing 12 Williams, Mark 12 Xiang, Wei 12 Yang, Tong 11 Berthelin, Florent 11 Ferapontov, Evgeny Vladimirovich 11 Lu, Yunguang 11 Sheng, Wancheng 11 Trebeschi, Paola 10 Després, Bruno 10 Kong, Dexing 10 Trakhinin, Yuri L. 10 Wang, Weike 10 Xie, Feng 9 Benzoni-Gavage, Sylvie 9 Colombo, Rinaldo M. 9 Freistühler, Heinrich 9 Guo, Zhenhua 9 Hoff, David 9 Li, Yachun 9 Lyng, Gregory Daniel 9 Peng, Yuejun 9 Seguin, Nicolas 9 Sueur, Franck 8 Christoforou, Cleopatra C. 8 Dafermos, Constantine 8 Fang, Daoyuan 8 Giovangigli, Vincent 8 Rousset, Frédéric 8 Tesei, Alberto 8 Zhang, Ting 8 Zhu, Shengguo 7 Benoit, Antoine 7 Blanc, Xavier 7 Burtea, Cosmin 7 Corli, Andrea 7 Di Ruvo, Lorenzo 7 Geng, Shifeng 7 Ghoshal, Shyam Sundar 7 Hu, Yanbo 7 Li, Hailiang 7 Li, Jing 7 Natalini, Roberto 7 Spinolo, Laura V. 7 Wang, Dehua 7 Wang, Yi 7 Zuazua, Enrique 6 Audiard, Corentin 6 Berthon, Christophe 6 Danchin, Raphaël 6 Haspot, Boris 6 Huang, Aimin 6 Huang, Xiangdi 6 Jang, Juhi 6 Jiu, Quansen 6 Karlsen, Kenneth Hvistendahl 6 Klingenberg, Christian 6 Kreml, Ondřej 6 Marcati, Pierangelo 6 Perthame, Benoît 6 Plaza, Ramón G. 6 Qin, Yuming 6 Qu, Aifang 6 Rohde, Christian 6 Ruggeri, Tommaso 6 Sun, Meina 6 Tan, Zhong 6 Tzavaras, Athanasios E. ...and 1,612 more Authors all top 5 Cited in 305 Serials 156 Journal of Differential Equations 128 Archive for Rational Mechanics and Analysis 62 Journal of Mathematical Analysis and Applications 47 Journal of Hyperbolic Differential Equations 43 SIAM Journal on Mathematical Analysis 42 Communications in Mathematical Physics 37 Communications in Partial Differential Equations 32 Nonlinear Analysis. 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