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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/
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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

Publications by Year

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
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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
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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. Theory, Methods & Applications. Series A: Theory and Methods
31 Physica D
31 Journal de Mathématiques Pures et Appliquées. Neuvième Série
29 Journal of Mathematical Physics
27 Quarterly of Applied Mathematics
26 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 Journal of Computational Physics
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
24 Applied Mathematics Letters
22 Mathematical Methods in the Applied Sciences
22 Mathematics of Computation
22 Discrete and Continuous Dynamical Systems
22 Journal of Mathematical Fluid Mechanics
21 Communications on Pure and Applied Analysis
18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Nonlinear Analysis. Real World Applications
14 Nonlinearity
14 Journal of Scientific Computing
13 Journal of Functional Analysis
13 Transactions of the American Mathematical Society
13 Journal of Dynamics and Differential Equations
13 Journal of Nonlinear Science
13 Science China. Mathematics
12 Calculus of Variations and Partial Differential Equations
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Chinese Annals of Mathematics. Series B
11 Acta Mathematicae Applicatae Sinica. English Series
10 Journal of Statistical Physics
10 Numerische Mathematik
9 Advances in Mathematics
9 Applied Mathematics and Computation
9 Proceedings of the American Mathematical Society
9 Acta Applicandae Mathematicae
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Acta Mathematica Scientia. Series B. (English Edition)
8 Applicable Analysis
8 Annales de l’Institut Fourier
8 Nonlinear Analysis. Theory, Methods & Applications
7 Communications on Pure and Applied Mathematics
7 Linear Algebra and its Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Kinetic and Related Models
7 Advances in Mathematical Physics
7 Journal de l’École Polytechnique – Mathématiques
6 Computers & Mathematics with Applications
6 Journal of Computational and Applied Mathematics
6 Studies in Applied Mathematics
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 SIAM Journal on Scientific Computing
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Journal of Evolution Equations
6 Discrete and Continuous Dynamical Systems. Series B
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Bulletin of the Brazilian Mathematical Society. New Series
6 Boundary Value Problems
5 Mathematical Notes
5 Wave Motion
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 SIAM Journal on Numerical Analysis
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 SIAM Journal on Applied Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Continuum Mechanics and Thermodynamics
5 Journal of Mathematical Sciences (New York)
5 Networks and Heterogeneous Media
5 Discrete and Continuous Dynamical Systems. Series S
5 Séminaire Laurent Schwartz. EDP et Applications
4 Computers and Fluids
4 Applied Mathematics and Optimization
4 Inventiones Mathematicae
4 Journal of the London Mathematical Society. Second Series
4 Ricerche di Matematica
4 Zeitschrift für Analysis und ihre Anwendungen
4 Asymptotic Analysis
4 Applications of Mathematics
4 Boletim da Sociedade Brasileira de Matemática. Nova Série
4 Annales Mathématiques Blaise Pascal
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Advances in Nonlinear Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Indiana University Mathematics Journal
3 Mathematische Annalen
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 SIAM Journal on Control and Optimization
3 Advances in Applied Mathematics
3 Applied Numerical Mathematics
3 Journal of Integral Equations and Applications
3 Applied Mathematical Modelling
3 Journal of Elasticity
3 Proceedings of the National Academy of Sciences of the United States of America
...and 205 more Serials
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Cited in 56 Fields

1,454 Partial differential equations (35-XX)
823 Fluid mechanics (76-XX)
167 Numerical analysis (65-XX)
126 Mechanics of deformable solids (74-XX)
71 Dynamical systems and ergodic theory (37-XX)
64 Statistical mechanics, structure of matter (82-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
43 Optics, electromagnetic theory (78-XX)
41 Operator theory (47-XX)
39 Probability theory and stochastic processes (60-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
36 Ordinary differential equations (34-XX)
36 Classical thermodynamics, heat transfer (80-XX)
31 Differential geometry (53-XX)
27 Mechanics of particles and systems (70-XX)
25 Operations research, mathematical programming (90-XX)
24 Biology and other natural sciences (92-XX)
23 Quantum theory (81-XX)
23 Systems theory; control (93-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Real functions (26-XX)
20 Functional analysis (46-XX)
14 Integral equations (45-XX)
14 Geophysics (86-XX)
12 Measure and integration (28-XX)
12 Relativity and gravitational theory (83-XX)
12 Astronomy and astrophysics (85-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Number theory (11-XX)
7 Algebraic geometry (14-XX)
7 Difference and functional equations (39-XX)
7 Computer science (68-XX)
6 Topological groups, Lie groups (22-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Convex and discrete geometry (52-XX)
5 Special functions (33-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Field theory and polynomials (12-XX)
4 Approximations and expansions (41-XX)
4 Statistics (62-XX)
4 Information and communication theory, circuits (94-XX)
3 Group theory and generalizations (20-XX)
3 Functions of a complex variable (30-XX)
3 Manifolds and cell complexes (57-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

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