×
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
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

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 2,557 times in 1,939 Documents Cited by Year
Systems of conservation laws. I: Hyperbolicity, entropies, shock waves. Translated from the French by I. N. Sneddon. Zbl 0930.35001
Serre, Denis
233
1999
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
219
2007
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
107
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
92
1996
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
84
1987
Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025
Serre, Denis
75
2009
Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001
Serre, Denis
75
2002
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.
54
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
Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001
Serre, Denis
41
2010
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
\(\mathfrak{L}^1\) stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046
Freistühler, Heinrich; Serre, Denis
37
1998
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
37
1996
Spectral stability of periodic solutions of viscous conservation laws: large wavelength analysis. Zbl 1131.35046
Serre, Denis
32
2005
Boundary layer stability in real vanishing viscosity limit. Zbl 0988.35028
Serre, Denis; Zumbrun, Kevin
31
2001
\(L^1\)-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
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
28
1991
Stability of constant equilibrium state for dissipative balance laws system with a convex entropy. Zbl 1068.35067
Ruggeri, Tommaso; Serre, Denis
28
2004
Alternate Evans functions and viscous shock waves. Zbl 0985.34075
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
26
2001
Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005
Serre, Denis
25
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
21
1983
Richness and the classification of quasilinear hyperbolic systems. Zbl 0760.35028
Serre, Denis
19
1991
\(L^1\)-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
Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181
Serre, Denis
18
2018
The structure of dissipative viscous system of conservation laws. Zbl 1193.37012
Serre, Denis
17
2010
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
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
Unstable Godunov discrete profiles for steady shock waves. Zbl 0929.76083
Bultelle, Matthieu; Grassin, Magali; Serre, Denis
16
1998
Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Zbl 0983.35086
Lattanzio, Corrado; Serre, Denis
15
2001
Matrices. Theory and applications. Transl. from the French. Paperback reprint of the 2002 original. Zbl 1202.15003
Serre, Denis
15
2010
Formes quadratiques et calcul des variations. Zbl 0529.49005
Serre, D.
15
1983
Handbook of mathematical fluid dynamics. Vol. 1. Zbl 0992.76001
14
2002
The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101
Li, Ta-Tsien; Serre, D.; Zhang, Hao
14
1992
Numerical measure of a complex matrix. Zbl 1244.15015
Gallay, Thierry; Serre, Denis
13
2012
Plane waves in nonlinear electromagnetism. (Les ondes planes en electromagnétisme non linéaire.) Zbl 0736.35133
Serre, Denis
13
1988
Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates. Zbl 07114396
Serre, Denis; Silvestre, Luis
13
2019
Handbook of mathematical fluid dynamics 4. Zbl 1152.76001
12
2007
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
E, Weinan; Serre, Denis
11
1992
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
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
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
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
10
1984
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. Zbl 1417.37235
Serre, Denis
10
2019
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
Local existence for viscous system of conservation laws: \(H^s\)-data with \(s>1+d/2\). Zbl 1223.35230
Serre, Denis
9
2010
Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002
9
2004
Remarks about the discrete profiles of shock waves. Zbl 0864.35074
Serre, Denis
8
1996
Second order initial boundary-value problems of variational type. Zbl 1254.35138
Serre, Denis
8
2006
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
Large-time behavior of solutions for the system of compressible adiabatic flow through porous media. Zbl 0836.35022
Hsiao, Ling; Serre, Denis
8
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
Rich hyperbolic systems with conservation laws. (Systèmes hyperboliques riches de lois de conservation.) Zbl 0870.35067
Serre, Denis
7
1994
Condition de Legendre-Hadamard: espaces de matrices de rang = 1. Zbl 0478.49006
Serre, Denis
7
1981
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
Discrete shock profiles: Existence and stability. Zbl 1128.65068
Serre, Denis
6
2007
Un modèle relaxé pour les câbles inextensibles. (Inextensible string: A new model via relaxation). Zbl 0725.73100
Serre, Denis
6
1991
Matrices. Theory and applications. (Les matrices: théorie et pratique.) Zbl 1008.15002
Serre, Denis
6
2001
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
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
6
1985
Long-time stability in systems of conservation laws, using relative entropy/energy. Zbl 1333.35212
Serre, Denis
6
2016
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
Fast-slow dynamics for parabolic perturbations of conservation laws. Zbl 0858.35080
Hubert, Florence; 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
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
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
5
1994
Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060
Serre, Denis
5
2021
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
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
Handbook of mathematical fluid dynamics. Vol. II. Zbl 1011.00020
4
2003
Une approche algébrique du problème de Riemann. (An algebraic approach for the Riemann problem). Zbl 0691.35060
Heibig, Arnaud; Serre, Denis
4
1989
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
Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws. Zbl 1105.35138
Neves, Wladimir; Serre, Denis
4
2005
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
4
2008
Systems of conservation laws: A challenge for the XXIst century. Zbl 1005.35002
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
Well-posedness of the Riemann problem; consistency of the Godunov’s scheme. Zbl 0685.65085
Gilquin, H.; Serre, Denis
4
1989
Un système hyperbolique non linéaire avec des données oscillantes. (Oscillating data in one nonlinear hyperbolic system). Zbl 0606.35050
Serre, Denis
4
1986
Gradient estimate in terms of a Hilbert-like distance, for minimal surfaces and Chaplygin gas. Zbl 1346.76177
Serre, Denis
4
2016
On the upper semicontinuity of a quasiconcave functional. Zbl 1451.49016
De Rosa, Luigi; Serre, Denis; Tione, Riccardo
4
2020
Sur un problème d’optimisation lié aux équations de Navier-Stokes. Zbl 0797.49006
Rakotoson, J. M.; Serre, D.
3
1993
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
10
2019
Divergence-free positive symmetric tensors and fluid dynamics. Zbl 1393.35181
Serre, Denis
18
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
13
2012
Three-dimensional interaction of shocks in irrotational flows. Zbl 1233.35142
Serre, Denis
3
2011
Viscous system of conservation laws: singular limits. Zbl 1248.35102
Serre, Denis
3
2011
Matrices. Theory and applications. Transl. from the French. 2nd ed. Zbl 1206.15001
Serre, Denis
41
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
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
9
2010
Multidimensional shock interaction for a Chaplygin gas. Zbl 1161.76025
Serre, Denis
75
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
219
2007
Shock waves for radiative hyperbolic-elliptic systems. Zbl 1132.35062
Lattanzio, Corrado; Mascia, Corrado; Serre, Denis
24
2007
Handbook of mathematical fluid dynamics 4. Zbl 1152.76001
12
2007
Discrete shock profiles: Existence and stability. Zbl 1128.65068
Serre, Denis
6
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
32
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
The incompleteness of the Born-Infeld model for nonlinear multi-D Maxwell’s equations. Zbl 1100.35102
Neves, Wladimir; Serre, Denis
2
2005
Solvability of hyperbolic IBVPs through filtering. Zbl 1114.35118
Serre, Denis
2
2005
A remark on Y. Brenier’s approach to Born-Infeld electro-magnetic fields. Zbl 1096.78004
Serre, Denis
1
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
\(L^1\)-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
28
2004
Hyperbolicity of the nonlinear models of Maxwell’s equations. Zbl 1065.78005
Serre, Denis
25
2004
Handbook of mathematical fluid dynamics. Vol. III. Zbl 1051.76002
9
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
4
2003
Matrices. Theory and applications. Transl. from the French. Zbl 1011.15001
Serre, Denis
75
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
14
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
15
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
Systems of conservation laws: A challenge for the XXIst century. Zbl 1005.35002
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 2. Geometric structures, oscillations, and initial-boundary value problems. Translated from the French by I. N. Sneddon. Zbl 0936.35001
Serre, Denis
107
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
233
1999
Viscous and inviscid stability of multidimensional planar shock fronts. Zbl 0944.76027
Zumbrun, K.; Serre, D.
54
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
Discrete shock profiles and their stability. Zbl 0928.35102
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
2
1999
Shock layers interactions for a relaxation approximation to conservation laws. Zbl 0941.35053
Lattanzio, Corrado; Serre, Denis
2
1999
\(\mathfrak{L}^1\) stability of shock waves in scalar viscous conservation laws. Zbl 0907.76046
Freistühler, Heinrich; Serre, Denis
37
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
92
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
37
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
8
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
Rich hyperbolic systems with conservation laws. (Systèmes hyperboliques riches de lois de conservation.) Zbl 0870.35067
Serre, Denis
7
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
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
5
1994
Nonlinear oscillations of high frequency; dim = 1. (Oscillations non-linéaires de haute fréquence; dim = 1.) Zbl 0824.35070
Serre, D.
3
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
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 52 more Documents
all top 5

Cited by 1,928 Authors

61 Zumbrun, Kevin R.
49 Serre, Denis
39 Chen, Gui-Qiang G.
30 Feireisl, Eduard
27 Vasseur, Alexis F.
22 Coulombel, Jean-François
21 Zhu, Changjiang
20 Nečasová, Šárka
20 Shao, Zhiqiang
19 Frid, Hermano
19 Xin, Zhouping
17 Huang, Feimin
16 Rodrigues, Luis Miguel
16 Yong, Wen-An
15 Johnson, Mathew A.
15 Kang, Moon-Jin
14 Després, Bruno
14 Hillairet, Matthieu
14 Métivier, Guy
13 Bresch, Didier
13 Coclite, Giuseppe Maria
13 Colombo, Rinaldo M.
13 Guès, Olivier
13 Morando, Alessandro
13 Noble, Pascal
13 Pan, Ronghua
13 Secchi, Paolo
13 Takahashi, Takéo
13 Wang, Jing
12 Barker, Blake
12 Ducomet, Bernard
12 Ferapontov, Evgeny Vladimirovich
12 Humpherys, Jeffrey
12 Kong, Dexing
12 Lai, Geng
12 Ruan, Lizhi
12 Sheng, Wancheng
12 Temam, Roger Meyer
12 Wang, Weike
12 Williams, Mark
12 Xiang, Wei
12 Yang, Tong
11 Berthelin, Florent
11 Christoforou, Cleopatra C.
11 Lu, Yunguang
11 Peng, Yuejun
11 Trebeschi, Paola
10 Benzoni-Gavage, Sylvie
10 Freistühler, Heinrich
10 Li, Yachun
10 Perthame, Benoît
10 Shen, Chun
10 Trakhinin, Yuri L.
10 Xie, Feng
9 Guo, Zhenhua
9 Hoff, David
9 Lyng, Gregory Daniel
9 Seguin, Nicolas
9 Sueur, Franck
9 Sun, Meina
9 Tesei, Alberto
9 Wang, Dehua
8 Benoit, Antoine
8 Corli, Andrea
8 Dafermos, Constantine
8 Fang, Daoyuan
8 Ghoshal, Shyam Sundar
8 Giovangigli, Vincent
8 Rousset, Frédéric
8 Zhang, Ting
8 Zhu, Shengguo
7 Amadori, Debora
7 Berthon, Christophe
7 Blanc, Xavier
7 Bressan, Alberto
7 Burtea, Cosmin
7 Di Ruvo, Lorenzo
7 Geng, Shifeng
7 Hu, Yanbo
7 Kreml, Ondřej
7 Li, Hailiang
7 Li, Jing
7 Natalini, Roberto
7 Rohde, Christian
7 Ruggeri, Tommaso
7 Shen, Wen
7 Spinolo, Laura V.
7 Tam, Tin-Yau
7 Wang, Ya-Guang
7 Wang, Yi
7 Zhao, Huijiang
7 Zuazua, Enrique
6 Audiard, Corentin
6 Brenier, Yann
6 Chen, Robin Ming
6 Cheverry, Christophe
6 Coquel, Frédéric
6 Dalibard, Anne-Laure
6 Danchin, Raphaël
6 Guerra, Graziano
...and 1,828 more Authors
all top 5

Cited in 329 Serials

182 Journal of Differential Equations
132 Archive for Rational Mechanics and Analysis
75 Journal of Mathematical Analysis and Applications
48 Journal of Hyperbolic Differential Equations
44 SIAM Journal on Mathematical Analysis
42 Communications in Mathematical Physics
39 Journal of Computational Physics
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Physica D
37 Communications in Partial Differential Equations
36 Journal de Mathématiques Pures et Appliquées. Neuvième Série
33 Journal of Mathematical Physics
29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 Applied Mathematics Letters
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
28 Quarterly of Applied Mathematics
25 Journal of Mathematical Fluid Mechanics
23 Mathematical Methods in the Applied Sciences
23 Discrete and Continuous Dynamical Systems
22 Mathematics of Computation
22 Communications on Pure and Applied Analysis
18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Nonlinearity
16 Nonlinear Analysis. Real World Applications
15 Journal of Scientific Computing
14 Applied Mathematics and Computation
14 Journal of Functional Analysis
14 Linear Algebra and its Applications
14 Journal of Nonlinear Science
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Journal of Statistical Physics
13 Transactions of the American Mathematical Society
13 Journal of Dynamics and Differential Equations
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 Numerische Mathematik
11 Chinese Annals of Mathematics. Series B
11 Acta Applicandae Mathematicae
11 Acta Mathematicae Applicatae Sinica. English Series
9 Advances in Mathematics
9 Proceedings of the American Mathematical Society
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 Journal of Computational and Applied Mathematics
8 Nonlinear Analysis. Theory, Methods & Applications
7 Computers & Mathematics with Applications
7 Communications on Pure and Applied Mathematics
7 Wave Motion
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Bulletin of the Brazilian Mathematical Society. New Series
7 Boundary Value Problems
7 Kinetic and Related Models
7 Advances in Mathematical Physics
7 Journal de l’École Polytechnique – Mathématiques
6 Computers and Fluids
6 Mathematical Notes
6 Physics Letters. A
6 Studies in Applied Mathematics
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 SIAM Journal on Scientific Computing
6 Journal of Mathematical Sciences (New York)
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 Networks and Heterogeneous Media
5 Computer Methods in Applied Mechanics and Engineering
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Indiana University Mathematics Journal
5 SIAM Journal on Numerical Analysis
5 Applied Numerical Mathematics
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 Discrete and Continuous Dynamical Systems. Series S
5 Séminaire Laurent Schwartz. EDP et Applications
4 Applied Mathematics and Optimization
4 Inventiones Mathematicae
4 Journal of the London Mathematical Society. Second Series
4 Mathematische Annalen
4 Ricerche di Matematica
4 Advances in Applied Mathematics
4 Zeitschrift für Analysis und ihre Anwendungen
4 Asymptotic Analysis
4 Applications of Mathematics
4 Applied Mathematical Modelling
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 International Journal of Engineering Science
3 Israel Journal of Mathematics
3 Journal of Fluid Mechanics
3 Letters in Mathematical Physics
3 Journal of Geometry and Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
...and 229 more Serials
all top 5

Cited in 57 Fields

1,578 Partial differential equations (35-XX)
889 Fluid mechanics (76-XX)
204 Numerical analysis (65-XX)
134 Mechanics of deformable solids (74-XX)
86 Dynamical systems and ergodic theory (37-XX)
76 Statistical mechanics, structure of matter (82-XX)
60 Calculus of variations and optimal control; optimization (49-XX)
49 Optics, electromagnetic theory (78-XX)
46 Probability theory and stochastic processes (60-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
43 Ordinary differential equations (34-XX)
41 Operator theory (47-XX)
40 Differential geometry (53-XX)
38 Classical thermodynamics, heat transfer (80-XX)
35 Biology and other natural sciences (92-XX)
34 Systems theory; control (93-XX)
29 Mechanics of particles and systems (70-XX)
28 Quantum theory (81-XX)
28 Operations research, mathematical programming (90-XX)
25 Global analysis, analysis on manifolds (58-XX)
22 Functional analysis (46-XX)
21 Real functions (26-XX)
16 Geophysics (86-XX)
15 Integral equations (45-XX)
15 Computer science (68-XX)
15 Relativity and gravitational theory (83-XX)
12 Measure and integration (28-XX)
12 Astronomy and astrophysics (85-XX)
10 Topological groups, Lie groups (22-XX)
10 Statistics (62-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Difference and functional equations (39-XX)
8 Number theory (11-XX)
7 Algebraic geometry (14-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Convex and discrete geometry (52-XX)
6 Group theory and generalizations (20-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Field theory and polynomials (12-XX)
4 Integral transforms, operational calculus (44-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Associative rings and algebras (16-XX)
3 Functions of a complex variable (30-XX)
3 Geometry (51-XX)
3 General topology (54-XX)
3 Manifolds and cell complexes (57-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
1 Mathematical logic and foundations (03-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.