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Author ID: serre.denis Recent zbMATH articles by "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: 174 Publications since 1978, including 9 Books
9 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 44 Co-Authors with 67 Joint Publications
1,252 Co-Co-Authors
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 Journal of Differential Equations
5 Physica D
5 RAIRO. Modélisation Mathématique et Analyse Numérique
5 Applied Mathematics Letters
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 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 Matapli
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
1 Oxford Mathematical Monographs

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 1,839 times in 1,406 Documents Cited by Year
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
165
2007
Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001
Serre, Denis
95
1999
The failure of continuous dependence on initial data for the Navier- Stokes equations of compressible flow. Zbl 0741.35057
Hoff, David; Serre, Denis
80
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
66
1987
Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025
Serre, Denis
56
2009
Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027
Zumbrun, K.; Serre, D.
51
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
48
2000
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
44
1986
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
43
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
41
1986
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
41
1987
Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069
Hsiao, Ling; Serre, Denis
41
1996
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
40
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
38
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
37
1996
Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028
Serre, Denis; Zumbrun, Kevin
30
2001
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
29
1996
\(\mathfrak{L}^1\) stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046
Freistühler, Heinrich; Serre, Denis
28
1998
Spectral stability of periodic solutions of viscous conservation laws: large wavelength analysis. Zbl 1131.35046
Serre, Denis
26
2005
Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165
Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis
26
2002
Alternate Evans functions and viscous shock waves. Zbl 0985.34075
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
26
2001
\(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
25
2003
Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067
Ruggeri, Tommaso; Serre, Denis
24
2004
Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001
Serre, Denis
23
2002
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
23
1991
\(L^1\)-stability of nonlinear waves in scalar conservation laws. Zbl 1079.35064
Serre, Denis
23
2004
Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005
Serre, Denis
23
2004
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
21
1994
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
19
1997
Equations de Navier-Stokes stationnaires avec données peu régulières. Zbl 0559.35064
Serre, Denis
18
1983
\(L^2\)-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.
17
2014
Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062
Lattanzio, Corrado; Mascia, Corrado; Serre, Denis
17
2007
Asymptotic behavior of large weak entropy solutions of the damped \(p\)-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
17
1997
Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001
Serre, Denis
17
2010
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
16
1995
\(L^1\)-stability of travelling waves in scalar conservation laws. (Stabilité \(L^1\) d’ondes progressives de lois de conservation scalaires.) Zbl 1063.35520
Serre, Denis
16
1999
Formes quadratiques et calcul des variations. Zbl 0529.49005
Serre, D.
14
1983
Richness and the classification of quasilinear hyperbolic systems. Zbl 0760.35028
Serre, Denis
14
1991
Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083
Bultelle, Matthieu; Grassin, Magali; Serre, Denis
14
1998
The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101
Li, Ta-Tsien; Serre, D.; Zhang, Hao
13
1992
Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003
Serre, Denis
13
2010
Expansion of a compressible gas in vacuum. Zbl 1328.76059
Serre, Denis
12
2015
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
12
2016
Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Zbl 0983.35086
Lattanzia, Corrado; Serre, Denis
12
2001
The structure of dissipative viscous system of conservation laws. Zbl 1193.37012
Serre, Denis
12
2010
Plane waves in nonlinear electromagnetism. (Les ondes planes en electromagnétisme non linéaire.) Zbl 0736.35133
Serre, Denis
10
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
10
1987
Instabilities in Glimm’s scheme for two systems of mixed type. Zbl 0663.73010
Pego, Robert L.; Serre, Denis
10
1988
Correctors for the homogenization of conservation laws with oscillatory forcing terms. Zbl 0766.35026
Weinan, E.; Serre, Denis
10
1992
Numerical measure of a complex matrix. Zbl 1244.15015
Gallay, Thierry; Serre, Denis
10
2012
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
Domaines invariants pour les systèmes hyperboliques de lois de conservation. (Invariant domains for hyperbolic systems of the conservation law). Zbl 0626.35061
Serre, Denis
9
1987
Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics. Zbl 1179.01022
Serre, Denis
9
2010
Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations. Zbl 0733.35021
Demengel, F.; Serre, D.
9
1991
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
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.
9
2003
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
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
8
2016
Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181
Serre, Denis
8
2018
Nonlinear oscillations of hyperbolic systems: Methods and qualitative results. (Oscillations non linéaires des systèmes hyperboliques: Méthodes et résultats qualitatifs.) Zbl 0810.35060
Serre, Denis
7
1991
Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396
Serre, Denis; Silvestre, Luis
7
2019
Second order initial boundary-value problems of variational type. Zbl 1254.35138
Serre, Denis
7
2006
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
6
1995
Condition de Legendre-Hadamard: espaces de matrices de rang = 1. Zbl 0478.49006
Serre, Denis
6
1981
Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212
Serre, Denis
5
2016
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
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
5
1984
Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001
5
2002
Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080
Hubert, Florence; Serre, Denis
5
1996
Un modèle relaxé pour les câbles inextensibles. (Inextensible string: A new model via relaxation). Zbl 0725.73100
Serre, Denis
5
1991
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235
Serre, Denis
5
2019
Remarks about the discrete profiles of shock waves. Zbl 0864.35074
Serre, Denis
5
1996
The \(L^1\)-stability of boundary layers for scalar viscous conservation laws. Zbl 0993.35063
Freistühler, Heinrich; Serre, Denis
5
2001
Rich hyperbolic systems with conservation laws. (Systèmes hyperboliques riches de lois de conservation.) Zbl 0870.35067
Serre, Denis
5
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
5
1994
Un système hyperbolique non linéaire avec des données oscillantes. (Oscillating data in one nonlinear hyperbolic system). Zbl 0606.35050
Serre, Denis
4
1986
Matrices. Theory and applications. (Les matrices: théorie et pratique.) Zbl 1008.15002
Serre, Denis
4
2001
Une approche algébrique du problème de Riemann. (An algebraic approach for the Riemann problem). Zbl 0691.35060
Heibig, Arnaud; Serre, Denis
4
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
4
1988
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
4
2008
Integrability of a class of systems of conservation laws. (Intégrabilité d’une classe de systèmes de lois de conservation.) Zbl 0769.35040
Serre, Denis
4
1992
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
Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas. Zbl 1346.76177
Serre, Denis
4
2016
Discrete shock profiles: Existence and stability. Zbl 1128.65068
Serre, Denis
4
2007
\(L^1\)-decay and the stability of shock profiles. Zbl 0938.35098
Serre, D.
4
2000
Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). Zbl 0963.35009
Serre, Denis
4
2001
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.
4
1993
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
Compacité par compensation et systèmes hyperboliques de lois de conservation. Applications. (Compensated compactness and hyperbolic systems of conservation laws. Applications). Zbl 0578.35056
Rascle, Michel; Serre, Denis
3
1984
Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060
Serre, Denis
3
2021
Existence globale d’ondes planes en électromagnétisme non linéaire. (Existence in the large of nonlinear electromagnetic waves). Zbl 0621.35060
Serre, Denis
3
1987
Local existence for viscous system of conservation laws: \(H^s\)-data with \(s>1+d/2\). Zbl 1223.35230
Serre, Denis
3
2010
Asymptotics of homogeneous oscillations in a compressible viscous fluid. Zbl 1034.76052
Serre, Denis
3
2001
Étude variationnelle du problème de Riemann. (Variational study of the Riemann problem). Zbl 0777.35053
Heibig, Arnaud; Serre, Denis
3
1992
Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws. Zbl 1105.35138
Neves, Wladimir; Serre, Denis
3
2005
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 hyperbolic-elliptic coupled systems arising in radiation dynamics. Zbl 1140.35523
Lattanzio, C.; Mascia, C.; Serre, D.
3
2008
Viscous system of conservation laws: singular limits. Zbl 1248.35102
Serre, Denis
3
2011
Existence of solutions for a class of hyperbolic systems of \(p\) conservation laws \((p\geq 3)\). Zbl 0921.35102
Benzoni-Gavage, Sylvie; Serre, Denis
3
1993
Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394
Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis
3
2002
Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060
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
1
2020
Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396
Serre, Denis; Silvestre, Luis
7
2019
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235
Serre, Denis
5
2019
Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181
Serre, Denis
8
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.
12
2016
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
8
2016
Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212
Serre, Denis
5
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
12
2015
The reverse Hlawka inequality in a Minkowski space. (L’inégalité de Hlawka inverse dans un espace de Minkowski.) Zbl 1322.51002
Serre, Denis
2
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.
17
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
10
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
2
2011
Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001
Serre, Denis
17
2010
Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003
Serre, Denis
13
2010
The structure of dissipative viscous system of conservation laws. Zbl 1193.37012
Serre, Denis
12
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
Local existence for viscous system of conservation laws: \(H^s\)-data with \(s>1+d/2\). Zbl 1223.35230
Serre, Denis
3
2010
Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025
Serre, Denis
56
2009
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
4
2008
Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics. Zbl 1140.35523
Lattanzio, C.; Mascia, C.; Serre, D.
3
2008
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
165
2007
Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062
Lattanzio, Corrado; Mascia, Corrado; Serre, Denis
17
2007
Discrete shock profiles: Existence and stability. Zbl 1128.65068
Serre, Denis
4
2007
Second order initial boundary-value problems of variational type. Zbl 1254.35138
Serre, Denis
7
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
26
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
3
2005
Solvability of hyperbolic IBVPs through filtering. Zbl 1114.35118
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
Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067
Ruggeri, Tommaso; Serre, Denis
24
2004
\(L^1\)-stability of nonlinear waves in scalar conservation laws. Zbl 1079.35064
Serre, Denis
23
2004
Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005
Serre, Denis
23
2004
Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002
3
2004
\(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
25
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.
9
2003
Handbook of mathematical fluid dynamics. Vol. II. Zbl 1011.00020
1
2003
Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165
Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis
26
2002
Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001
Serre, Denis
23
2002
Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001
5
2002
Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394
Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis
3
2002
Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028
Serre, Denis; Zumbrun, Kevin
30
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
Lattanzia, Corrado; Serre, Denis
12
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
The \(L^1\)-stability of boundary layers for scalar viscous conservation laws. Zbl 0993.35063
Freistühler, Heinrich; Serre, Denis
5
2001
Matrices. Theory and applications. (Les matrices: théorie et pratique.) Zbl 1008.15002
Serre, Denis
4
2001
Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). Zbl 0963.35009
Serre, Denis
4
2001
Asymptotics of homogeneous oscillations in a compressible viscous fluid. Zbl 1034.76052
Serre, Denis
3
2001
Systems of conservation laws: A challenge for the XXIst century. Zbl 1005.35002
Serre, Denis
2
2001
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
48
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
43
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
1
2000
Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001
Serre, Denis
95
1999
Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027
Zumbrun, K.; Serre, D.
51
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
16
1999
Discrete shock profiles and their stability. Zbl 0928.35102
Serre, Denis
2
1999
Shock layers interactions for a relaxation approximation to conservation laws. Zbl 0941.35053
Lattanzio, Corrado; Serre, Denis
2
1999
Linear growth of vorticity in perfect flows. (La croissance de la vorticité dans les écoulements parfaits incompressibles.) Zbl 0938.76017
Serre, Denis
1
1999
\(\mathfrak{L}^1\) stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046
Freistühler, Heinrich; Serre, Denis
28
1998
Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083
Bultelle, Matthieu; Grassin, Magali; Serre, Denis
14
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
38
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
19
1997
Asymptotic behavior of large weak entropy solutions of the damped \(p\)-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
17
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
Global existence of solutions for the system of compressible adiabatic flow through porous media. Zbl 0849.35069
Hsiao, Ling; Serre, Denis
41
1996
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
37
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
29
1996
Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080
Hubert, Florence; Serre, Denis
5
1996
Remarks about the discrete profiles of shock waves. Zbl 0864.35074
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
2
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
16
1995
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
6
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.
1
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
21
1994
Rich hyperbolic systems with conservation laws. (Systèmes hyperboliques riches de lois de conservation.) Zbl 0870.35067
Serre, Denis
5
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
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
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
2
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.
4
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
3
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
3
1993
Sur un problème d’optimisation lié aux équations de Navier-Stokes. Zbl 0797.49006
Rakotoson, J. M.; Serre, D.
2
1993
On a functional equation. (Sur une équation fonctionnelle.) Zbl 0793.39005
Serre, Denis
1
1993
The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101
Li, Ta-Tsien; Serre, D.; Zhang, Hao
13
1992
Correctors for the homogenization of conservation laws with oscillatory forcing terms. Zbl 0766.35026
Weinan, E.; Serre, Denis
10
1992
Integrability of a class of systems of conservation laws. (Intégrabilité d’une classe de systèmes de lois de conservation.) Zbl 0769.35040
Serre, Denis
4
1992
...and 44 more Documents
all top 5

Cited by 1,367 Authors

60 Zumbrun, Kevin R.
42 Serre, Denis
33 Chen, Gui-Qiang G.
27 Feireisl, Eduard
22 Coulombel, Jean-François
22 Vasseur, Alexis F.
19 Xin, Zhouping
18 Zhu, Changjiang
16 Frid, Hermano
16 Shao, Zhiqiang
15 Johnson, Mathew A.
15 Nečasová, Šárka
13 Pan, Ronghua
13 Yong, Wen-An
12 Barker, Blake
12 Guès, Olivier
12 Humpherys, Jeffrey
12 Kang, Moon-Jin
12 Métivier, Guy
12 Morando, Alessandro
12 Rodrigues, Luis Miguel
12 Williams, Mark
12 Yang, Tong
11 Berthelin, Florent
11 Ducomet, Bernard
11 Huang, Feimin
11 Noble, Pascal
11 Takahashi, Takéo
11 Temam, Roger Meyer
11 Wang, Jing
10 Kong, Dexing
10 Lu, Yunguang
10 Ruan, Lizhi
10 Secchi, Paolo
10 Trakhinin, Yuri L.
10 Trebeschi, Paola
10 Wang, Weike
9 Bresch, Didier
9 Coclite, Giuseppe Maria
9 Colombo, Rinaldo M.
9 Hoff, David
9 Lyng, Gregory Daniel
9 Peng, Yuejun
9 Xiang, Wei
9 Xie, Feng
8 Benzoni-Gavage, Sylvie
8 Fang, Daoyuan
8 Ferapontov, Evgeny Vladimirovich
8 Freistühler, Heinrich
8 Guo, Zhenhua
8 Hillairet, Matthieu
8 Lai, Geng
8 Li, Yachun
8 Rousset, Frédéric
8 Sueur, Franck
8 Zhang, Ting
7 Christoforou, Cleopatra C.
7 Coquel, Frédéric
7 Corli, Andrea
7 Dafermos, Constantine M.
7 Després, Bruno
7 Li, Hailiang
7 Natalini, Roberto
7 Seguin, Nicolas
7 Sheng, Wancheng
6 Di Ruvo, Lorenzo
6 Giovangigli, Vincent
6 Haspot, Boris
6 Jang, Juhi
6 Jiu, Quansen
6 Kreml, Ondřej
6 Li, Jing
6 Perthame, Benoît
6 Qin, Yuming
6 Rohde, Christian
6 Ruggeri, Tommaso
6 Tan, Zhong
6 Wang, Yi
6 Zhao, Junning
5 Benoit, Antoine
5 Bouchut, François
5 Brenier, Yann
5 Dalibard, Anne-Laure
5 Deng, Shijin
5 Feldman, Mikhail
5 Ghoshal, Shyam Sundar
5 Goudon, Thierry
5 Howard, Peter
5 Huang, Aimin
5 Huang, Xiangdi
5 Karlsen, Kenneth Hvistendahl
5 Kawashima, Shuichi
5 LeFloch, Philippe Gerard
5 Marcati, Pierangelo
5 Masmoudi, Nader
5 Mishra, Siddhartha
5 Qu, Aifang
5 Spinolo, Laura V.
5 Tesei, Alberto
5 Texier, Benjamin
...and 1,267 more Authors
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Cited in 253 Serials

140 Journal of Differential Equations
122 Archive for Rational Mechanics and Analysis
55 Journal of Mathematical Analysis and Applications
42 Communications in Mathematical Physics
42 Journal of Hyperbolic Differential Equations
36 Communications in Partial Differential Equations
30 SIAM Journal on Mathematical Analysis
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Physica D
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Journal of Mathematical Physics
23 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Applied Mathematics Letters
21 Discrete and Continuous Dynamical Systems
19 Mathematics of Computation
19 Quarterly of Applied Mathematics
18 Communications on Pure and Applied Analysis
17 Journal of Computational Physics
17 Mathematical Methods in the Applied Sciences
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 Nonlinear Analysis. Real World Applications
14 Journal of Mathematical Fluid Mechanics
13 Transactions of the American Mathematical Society
12 Science China. Mathematics
11 Calculus of Variations and Partial Differential Equations
10 Numerische Mathematik
10 Chinese Annals of Mathematics. Series B
10 Journal of Nonlinear Science
9 Journal of Statistical Physics
9 Proceedings of the American Mathematical Society
9 Journal of Scientific Computing
9 Journal of Dynamics and Differential Equations
8 Applied Mathematics and Computation
8 Journal of Functional Analysis
8 Acta Applicandae Mathematicae
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Applicable Analysis
7 Communications on Pure and Applied Mathematics
7 Advances in Mathematics
7 Annales de l’Institut Fourier
7 Acta Mathematicae Applicatae Sinica. English Series
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Kinetic and Related Models
7 Advances in Mathematical Physics
7 Nonlinear Analysis. Theory, Methods & Applications
7 Journal de l’École Polytechnique – Mathématiques
6 Nonlinearity
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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
5 Computers & Mathematics with Applications
5 Mathematical Notes
5 Wave Motion
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Journal of Computational and Applied Mathematics
5 SIAM Journal on Numerical Analysis
5 Linear Algebra and its Applications
5 Journal of Evolution Equations
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Networks and Heterogeneous Media
5 Séminaire Laurent Schwartz. EDP et Applications
4 Inventiones Mathematicae
4 Ricerche di Matematica
4 Studies in Applied Mathematics
4 Zeitschrift für Analysis und ihre Anwendungen
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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 Boundary Value Problems
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Computer Methods in Applied Mechanics and Engineering
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Optimization
3 Indiana University Mathematics Journal
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Asymptotic Analysis
3 Journal of Integral Equations and Applications
3 Applications of Mathematics
3 Applied Mathematical Modelling
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 Journal of the European Mathematical Society (JEMS)
3 Mediterranean Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 Advances in Nonlinear Analysis
2 Computers and Fluids
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
...and 153 more Serials
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Cited in 55 Fields

1,190 Partial differential equations (35-XX)
652 Fluid mechanics (76-XX)
124 Numerical analysis (65-XX)
104 Mechanics of deformable solids (74-XX)
52 Dynamical systems and ergodic theory (37-XX)
52 Statistical mechanics, structure of matter (82-XX)
44 Calculus of variations and optimal control; optimization (49-XX)
34 Optics, electromagnetic theory (78-XX)
31 Ordinary differential equations (34-XX)
30 Operator theory (47-XX)
30 Classical thermodynamics, heat transfer (80-XX)
27 Probability theory and stochastic processes (60-XX)
25 Differential geometry (53-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
22 Mechanics of particles and systems (70-XX)
19 Biology and other natural sciences (92-XX)
17 Global analysis, analysis on manifolds (58-XX)
17 Quantum theory (81-XX)
17 Operations research, mathematical programming (90-XX)
17 Systems theory; control (93-XX)
16 Real functions (26-XX)
14 Functional analysis (46-XX)
12 Integral equations (45-XX)
10 Relativity and gravitational theory (83-XX)
9 Measure and integration (28-XX)
9 Astronomy and astrophysics (85-XX)
9 Geophysics (86-XX)
7 Difference and functional equations (39-XX)
6 Algebraic geometry (14-XX)
5 Convex and discrete geometry (52-XX)
5 Computer science (68-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Field theory and polynomials (12-XX)
4 Topological groups, Lie groups (22-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Group theory and generalizations (20-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-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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