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Author ID: metivier.guy Recent zbMATH articles by "Métivier, Guy"
Published as: Métivier, Guy; Métivier, G.; Metivier, Guy; Metivier, G.
Homepage: https://www.math.u-bordeaux.fr/~gmetivie/
External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr
all top 5

Serials

13 Séminaire Équations aux Dérivées Partielles
12 Communications in Partial Differential Equations
7 Duke Mathematical Journal
6 Journal of Differential Equations
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Archive for Rational Mechanics and Analysis
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 American Journal of Mathematics
3 Indiana University Mathematics Journal
3 Inventiones Mathematicae
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Journal of Functional Analysis
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 Analysis & PDE
2 Journal de l’École Polytechnique – Mathématiques
1 Nonlinearity
1 Michigan Mathematical Journal
1 Physica D
1 Journal of the American Mathematical Society
1 Differential and Integral Equations
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Advances in Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Annals of Mathematics. Second Series
1 Annales Henri Poincaré
1 Acta Mathematica Scientia. Series B. (English Edition)
1 AMRX. Applied Mathematics Research eXpress
1 Journal of Hyperbolic Differential Equations
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Astérisque
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 Matapli
1 Kyoto Journal of Mathematics
1 Modeling and Simulation in Science, Engineering and Technology
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 1,786 times in 1,152 Documents Cited by Year
The incompressible limit of the non-isentropic Euler equations. Zbl 0974.76072
Métivier, G.; Schochet, S.
140
2001
Para-differential calculus and applications to the Cauchy problem for nonlinear systems. Zbl 1156.35002
Métivier, Guy
84
2008
Stability of multidimensional shocks. Zbl 1017.35075
Métivier, Guy
73
2001
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1074.35066
Métivier, Guy; Zumbrun, Kevin
52
2005
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
47
1995
The block structure condition for symmetric hyperbolic systems. Zbl 1073.35525
Métivier, Guy
46
2000
Fonction spectrale et valeurs propres d’une classe d’opérateurs non elliptiques. Zbl 0376.35012
Metivier, Guy
43
1976
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Zbl 1207.35082
Alazard, Thomas; Métivier, Guy
43
2009
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
42
1993
Recent mathematical results and open problems about shallow water equations. Zbl 1291.35001
Bresch, Didier; Desjardins, Benoît; Métivier, Guy
39
2007
Valeurs propres d’opérateurs définis par la restriction de systèmes variationnels à des sous-espaces. Zbl 0328.35029
Métivier, Guy
39
1978
Hyperbolic boundary value problems for symmetric systems with variable multiplicities. Zbl 1073.35155
Métivier, Guy; Zumbrun, Kevin
38
2005
Analytic hypoellipticity for operators with multiple characteristics. Zbl 0455.35040
Metivier, Guy
36
1981
Averaging theorems for conservative systems and the weakly compressible Euler equations. Zbl 1029.34035
Métivier, G.; Schochet, S.
35
2003
Une classe d’opérateurs non hypoelliptiques analytiques. Zbl 0455.35041
Metivier, Guy
33
1980
Navier-Stokes regularization of multidimensional Euler shocks. Zbl 1173.35082
Guès, C. M. I. Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
33
2006
Propagation de l’analyticité des solutions de systèmes hyperboliques non-linéaires. Zbl 0545.35063
Alinhac, S.; Métivier, G.
32
1984
Hypoellipticite analytique sur des groupes nilpotents de rang 2. Zbl 0433.35015
Metivier, Guy
32
1980
Resonant one dimensional nonlinear geometric optics. Zbl 0851.35023
Joly, J.-L.; Métivier, G.; Rauch, J.
31
1993
Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). Zbl 0619.35075
Métivier, Guy
30
1986
Existence and stability of multidimensional shock fronts in the vanishing viscosity limit. Zbl 1072.35122
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
30
2005
Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations. Zbl 1217.35136
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
26
2010
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
25
2000
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
24
1998
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
23
2000
Propriété des iterés et ellipticite. Zbl 0388.35063
Metivier, Guy
22
1978
Valeurs propres de problèmes aux limites elliptiques irréguliers. Zbl 0401.35088
Metivier, Guy
22
1977
Remarks on the well-posedness of the nonlinear Cauchy problem. Zbl 1071.35074
Métivier, Guy
22
2005
Existence of weak shocks for multidimenional quasilinear hyperbolic systems. (Existence de chocs faibles pour des systèmes quasi-linéaires hyperboliques multidimensionnels.) Zbl 0996.35001
Francheteau, Jacques; Métivier, Guy
22
2000
Small viscosity and boundary layer methods. Theory, stability analysis, and applications. Zbl 1133.35001
Métivier, Guy
22
2004
Focusing at a point and absorption of nonlinear oscillations. Zbl 0857.35087
Joly, J. L.; Métivier, G.; Rauch, J.
21
1995
Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. Zbl 1099.35094
Bresch, Didier; Métivier, Guy
19
2006
The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations. Zbl 1172.35041
Colombini, Ferruccio; Métivier, Guy
18
2008
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
17
1994
Multidimensional viscous shocks. II: The small viscosity limit. Zbl 1073.35162
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
16
2004
The Cauchy problem for semilinear hyperbolic systems with discontinuous data. Zbl 0631.35056
Metivier, Guy
16
1986
Multidimensional viscous shocks. I: Degenerate symmetrizers and long time stability. Zbl 1058.35163
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
16
2005
Stability of multidimensional weak shocks. Zbl 0711.35078
Métivier, Guy
15
1990
Analytic vectors of hypoelliptic operators of principal type. Zbl 0496.35026
Baouendi, M. S.; Metivier, G.
14
1982
Théorie spectrale des opérateurs uniformement elliptiques sur quelques ouverts irréguliers. Zbl 0251.35074
Fleckinger, Jacqueline; Metivier, Guy
13
1973
Non-hypoellipticite analytique pour \(D_x^2 + (x^2 + y^2) D_y^2\). Zbl 0481.35033
Metivier, Guy
13
1981
Propagation de l’analyticité locale pour les solutions de l’équation d’Euler. (Propagation of local analyticity for the solutions of the Euler equation). Zbl 0606.76027
Alinhac, S.; Métivier, G.
12
1986
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
12
1996
The mathematics of nonlinear optics. Zbl 1191.35263
Métivier, Guy
12
2009
Estimations de Schauder et régularité Höldérienne pour une classe de problèmes aux limites singuliers. (Schauder estimates and Hölder regularity for a class of singular boundary value problems). Zbl 0608.35026
Bolley, P.; Camus, J.; Metivier, G.
11
1986
Viscous boundary value problems for symmetric systems with variable multiplicities. Zbl 1138.35052
Gues, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
11
2008
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. Zbl 1286.35057
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
11
2013
A nonlinear instability for \(3\times 3\) systems of conservation laws. Zbl 0820.35093
Joly, J. L.; Metivier, G.; Rauch, J.
10
1994
Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems. Zbl 1102.35332
Métivier, G.; Zumbrun, K.
10
2004
Strong oscillations on a linearly degenerate field. (Oscillations fortes sur un champ linéairement dégénéré.) Zbl 1091.35039
Cheverry, Christophe; Guès, Olivier; Métivier, Guy
10
2003
Instabilities in Zakharov equations for laser propagation in a plasma. Zbl 1133.35303
Colin, Thierry; Métivier, Guy
10
2006
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. (Le problème du rivage pour les équations de Saint-Venant et de Green-Naghdi uni-dimensionnelles.) Zbl 1406.35490
Lannes, David; Métivier, Guy
9
2018
Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050
Beals, Michael; Metivier, Guy
9
1986
Ondes soniques. (Sonic waves). Zbl 0728.35068
Métivier, G.
9
1991
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. Zbl 1346.35124
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
9
2015
Propagation, interaction and reflection of discontinuous progressing waves for semilinear hyperbolic systems. Zbl 0687.35021
Metivier, Guy
8
1989
Spectral asymptotics for the delta-Neumann problem. Zbl 0489.35064
Metivier, Guy
8
1981
Kernels and symbols of analytic pseudodifferential operators. Zbl 0535.35081
Baouendi, M. S.; Goulaouic, C.; Métivier, G.
8
1983
Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051
Beals, Michael; Métivier, Guy
8
1987
Nonlinear oscillations beyond caustics. Zbl 0862.35066
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
8
1996
Global solvability of the anharmonic oscillator model from nonlinear optics. Zbl 0859.35124
Joly, J. L.; Metivier, G.; Rauch, J.
8
1996
A well-posedness result for hyperbolic operators with Zygmund coefficients. Zbl 1282.35220
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
8
2013
Uniqueness and approximation of solutions of first order nonlinear equations. Zbl 0594.35018
Metivier, Guy
7
1985
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1187.35136
Métivier, Guy; Zumbrun, Kevin
7
2003
Counterexamples to Hölmgren’s uniqueness for analytic nonlinear Cauchy problems. Zbl 0794.35026
Métivier, G.
7
1993
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
1992
Existence and sharp localization in velocity of small-amplitude Boltzmann shocks. Zbl 1197.76116
Métivier, Guy; Zumbrun, K.
7
2009
Anelastic limits for Euler-type systems. Zbl 1204.35117
Bresch, Didier; Métivier, Guy
7
2010
\(L^2\) well-posed Cauchy problems and symmetrizability of first order systems. (Problèmes de Cauchy bien posés dans \(L^2\) et symétrisabilité pour les systèmes du premier ordre.) Zbl 1332.35205
Métivier, Guy
7
2014
Nonlinear hyperbolic smoothing at a focal point. Zbl 0989.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
7
2000
Trilinear resonant interactions of semilinear hyperbolic waves. Zbl 0955.35007
Métivier, G.; Schochet, S.
7
1998
Remarques sur l’optique géométrique non linéaire multidimensionnelle. (Remarks on nonlinear multidimensional geometric optics). Zbl 0749.35055
Joly, J. L.; Metivier, G.; Rauch, J.
7
1991
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems. Zbl 1133.35404
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
7
2007
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
6
1990
Nonlinear mixed problems and stability of multidimensional shocks. (Problèmes mixtes non linéaires et stabilité des chocs multidimensionnels.) Zbl 0659.35063
Métivier, Guy
6
1987
Boundary layer and long time stability for multidimensional viscous shocks. Zbl 1108.35115
Guès, O.; Métivier, G.; Williams, M.; Zumbrun, K.
6
2004
Caustics for dissipative semilinear oscillations. Zbl 0963.35114
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
6
2000
Trilinear compensated compactness and nonlinear geometric optics. Zbl 0840.35013
Joly, J. L.; Métivier, G.; Rauch, J.
6
1995
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
6
2005
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Propagation de l’analyticité des solutions d’équations non- linéaires de type principal. Zbl 0566.35017
Alinhac, S.; Metivier, G.
5
1984
Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1316.35172
Colombini, Ferruccio; Métivier, Guy
5
2015
Nonlinear geometric optics and Maxwell-Bloch equations. (Optique géométrique non linéaire et équations de Maxwell-Bloch.) Zbl 1086.35526
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
5
1999
Existence of semilinear relaxation shocks. Zbl 1180.35358
Métivier, Guy; Zumbrun, Kevin
5
2009
Large-amplitude high-frequency waves for quasilinear hyperbolic systems. Zbl 1107.35079
Cheverry, C.; Guès, O.; Métivier, G.
5
2004
Nonclassical multidimensional viscous and inviscid shocks. Zbl 1162.35050
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
5
2008
Electromagnetic wave propagation in presence of a ferromagnetic material. (Propagation des ondes électromagnétiques en présence d’un matériau ferromagnétique.) Zbl 0913.65119
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
1998
Dispersive stabilization. Zbl 1192.35165
Métivier, Guy; Rauch, Jeffrey
5
2010
Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798
Bresch, Didier; Lannes, David; Métivier, Guy
5
2021
On the \(L^2\) well posedness of hyperbolic initial boundary value problems. (Sur le problème mixte hyperbolique dans \(L^2\).) Zbl 1437.35461
Métivier, Guy
4
2017
Comportement asymptotique des valeurs propres d’opérateurs elliptiques dégénérées. Zbl 0329.35047
Metivier, Guy
4
1976
Incompressible limit of nonisentropic Euler equations. (Limite incompressible des équations d’Euler non isentropiques.) Zbl 1061.76074
Métivier, Guy; Schochet, Steven
4
2001
Several recent results in nonlinear geometric optics. Zbl 0854.35115
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
4
1996
Recent results in nonlinear geometric optics. Zbl 0938.35034
Métivier, Guy; Joly, Jean-Luc; Rauch, Jeffrey
4
1999
Strictly dissipative nonuniqueness with corners. Zbl 1377.35193
Métivier, Guy; Rauch, Jeffrey
3
2017
The existence of weak shocks for multidimensional quasi-linear hyperbolic systems. (Existence de chocs faibles pour des systèmes quasi-linéaires hyperboliques multidimensionnels.) Zbl 0918.35092
Francheteau, Jacques; Métivier, Guy
3
1998
Théorie spectrale d’opérateurs elliptiques sur des ouverts irréguliers. Zbl 0264.47040
Metivier, G.
3
1973
Caustics for dissipative semilinear oscillations. Zbl 0891.35098
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
3
1997
Théorème d’unicité pour des vecteurs analytiques. (Uniqueness theorem for analytic vectors). Zbl 0704.35031
Bolley, Pierre; Camus, Jacques; Métivier, Guy
2
1990
Estimation du reste en théorie spectrale. Zbl 0558.35050
Metivier, Guy
2
1983
Waves interacting with a partially immersed obstacle in the Boussinesq regime. Zbl 07413798
Bresch, Didier; Lannes, David; Métivier, Guy
5
2021
On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients. Zbl 1439.35317
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
1
2020
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. (Le problème du rivage pour les équations de Saint-Venant et de Green-Naghdi uni-dimensionnelles.) Zbl 1406.35490
Lannes, David; Métivier, Guy
9
2018
Note on strongly hyperbolic systems with involutive characteristics. Zbl 1415.35180
Métivier, Guy; Nishitani, Tatsuo
1
2018
On the \(L^2\) well posedness of hyperbolic initial boundary value problems. (Sur le problème mixte hyperbolique dans \(L^2\).) Zbl 1437.35461
Métivier, Guy
4
2017
Strictly dissipative nonuniqueness with corners. Zbl 1377.35193
Métivier, Guy; Rauch, Jeffrey
3
2017
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. Zbl 1346.35124
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
9
2015
Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1316.35172
Colombini, Ferruccio; Métivier, Guy
5
2015
\(L^2\) well-posed Cauchy problems and symmetrizability of first order systems. (Problèmes de Cauchy bien posés dans \(L^2\) et symétrisabilité pour les systèmes du premier ordre.) Zbl 1332.35205
Métivier, Guy
7
2014
Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions. (Couches limites visqueuses pour des systèmes hyperboliques-paraboliques avec condition aux limites de Neumann.) Zbl 1295.35035
Gues, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
1
2014
A note on complete hyperbolic operators with log-Zygmund coefficients. Zbl 1320.35179
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
1
2014
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. Zbl 1286.35057
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
11
2013
A well-posedness result for hyperbolic operators with Zygmund coefficients. Zbl 1282.35220
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
8
2013
Existence of quasilinear relaxation shock profiles in systems with characteristic velocities. Zbl 1278.34027
Métivier, Guy; Texier, Benjamin; Zumbrun, Kevin
1
2012
Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations. Zbl 1217.35136
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
26
2010
Anelastic limits for Euler-type systems. Zbl 1204.35117
Bresch, Didier; Métivier, Guy
7
2010
Dispersive stabilization. Zbl 1192.35165
Métivier, Guy; Rauch, Jeffrey
5
2010
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Zbl 1207.35082
Alazard, Thomas; Métivier, Guy
43
2009
The mathematics of nonlinear optics. Zbl 1191.35263
Métivier, Guy
12
2009
Existence and sharp localization in velocity of small-amplitude Boltzmann shocks. Zbl 1197.76116
Métivier, Guy; Zumbrun, K.
7
2009
Existence of semilinear relaxation shocks. Zbl 1180.35358
Métivier, Guy; Zumbrun, Kevin
5
2009
Para-differential calculus and applications to the Cauchy problem for nonlinear systems. Zbl 1156.35002
Métivier, Guy
84
2008
The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations. Zbl 1172.35041
Colombini, Ferruccio; Métivier, Guy
18
2008
Viscous boundary value problems for symmetric systems with variable multiplicities. Zbl 1138.35052
Gues, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
11
2008
Nonclassical multidimensional viscous and inviscid shocks. Zbl 1162.35050
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
5
2008
Recent mathematical results and open problems about shallow water equations. Zbl 1291.35001
Bresch, Didier; Desjardins, Benoît; Métivier, Guy
39
2007
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems. Zbl 1133.35404
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
7
2007
Navier-Stokes regularization of multidimensional Euler shocks. Zbl 1173.35082
Guès, C. M. I. Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
33
2006
Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. Zbl 1099.35094
Bresch, Didier; Métivier, Guy
19
2006
Instabilities in Zakharov equations for laser propagation in a plasma. Zbl 1133.35303
Colin, Thierry; Métivier, Guy
10
2006
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1074.35066
Métivier, Guy; Zumbrun, Kevin
52
2005
Hyperbolic boundary value problems for symmetric systems with variable multiplicities. Zbl 1073.35155
Métivier, Guy; Zumbrun, Kevin
38
2005
Existence and stability of multidimensional shock fronts in the vanishing viscosity limit. Zbl 1072.35122
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
30
2005
Remarks on the well-posedness of the nonlinear Cauchy problem. Zbl 1071.35074
Métivier, Guy
22
2005
Multidimensional viscous shocks. I: Degenerate symmetrizers and long time stability. Zbl 1058.35163
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
16
2005
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
6
2005
Small viscosity and boundary layer methods. Theory, stability analysis, and applications. Zbl 1133.35001
Métivier, Guy
22
2004
Multidimensional viscous shocks. II: The small viscosity limit. Zbl 1073.35162
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
16
2004
Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems. Zbl 1102.35332
Métivier, G.; Zumbrun, K.
10
2004
Boundary layer and long time stability for multidimensional viscous shocks. Zbl 1108.35115
Guès, O.; Métivier, G.; Williams, M.; Zumbrun, K.
6
2004
Large-amplitude high-frequency waves for quasilinear hyperbolic systems. Zbl 1107.35079
Cheverry, C.; Guès, O.; Métivier, G.
5
2004
Averaging theorems for conservative systems and the weakly compressible Euler equations. Zbl 1029.34035
Métivier, G.; Schochet, S.
35
2003
Strong oscillations on a linearly degenerate field. (Oscillations fortes sur un champ linéairement dégénéré.) Zbl 1091.35039
Cheverry, Christophe; Guès, Olivier; Métivier, Guy
10
2003
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1187.35136
Métivier, Guy; Zumbrun, Kevin
7
2003
The incompressible limit of the non-isentropic Euler equations. Zbl 0974.76072
Métivier, G.; Schochet, S.
140
2001
Stability of multidimensional shocks. Zbl 1017.35075
Métivier, Guy
73
2001
Incompressible limit of nonisentropic Euler equations. (Limite incompressible des équations d’Euler non isentropiques.) Zbl 1061.76074
Métivier, Guy; Schochet, Steven
4
2001
The block structure condition for symmetric hyperbolic systems. Zbl 1073.35525
Métivier, Guy
46
2000
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
25
2000
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
23
2000
Existence of weak shocks for multidimenional quasilinear hyperbolic systems. (Existence de chocs faibles pour des systèmes quasi-linéaires hyperboliques multidimensionnels.) Zbl 0996.35001
Francheteau, Jacques; Métivier, Guy
22
2000
Nonlinear hyperbolic smoothing at a focal point. Zbl 0989.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
7
2000
Caustics for dissipative semilinear oscillations. Zbl 0963.35114
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
6
2000
Nonlinear geometric optics and Maxwell-Bloch equations. (Optique géométrique non linéaire et équations de Maxwell-Bloch.) Zbl 1086.35526
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
5
1999
Recent results in nonlinear geometric optics. Zbl 0938.35034
Métivier, Guy; Joly, Jean-Luc; Rauch, Jeffrey
4
1999
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
24
1998
Trilinear resonant interactions of semilinear hyperbolic waves. Zbl 0955.35007
Métivier, G.; Schochet, S.
7
1998
Electromagnetic wave propagation in presence of a ferromagnetic material. (Propagation des ondes électromagnétiques en présence d’un matériau ferromagnétique.) Zbl 0913.65119
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
1998
The existence of weak shocks for multidimensional quasi-linear hyperbolic systems. (Existence de chocs faibles pour des systèmes quasi-linéaires hyperboliques multidimensionnels.) Zbl 0918.35092
Francheteau, Jacques; Métivier, Guy
3
1998
Dense oscillations for the compressible 2D Euler equations. Zbl 0952.35102
Joly, J. L.; Metivier, G.; Rauch, J.
2
1998
Caustics for dissipative semilinear oscillations. Zbl 0891.35098
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
3
1997
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
12
1996
Nonlinear oscillations beyond caustics. Zbl 0862.35066
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
8
1996
Global solvability of the anharmonic oscillator model from nonlinear optics. Zbl 0859.35124
Joly, J. L.; Metivier, G.; Rauch, J.
8
1996
Several recent results in nonlinear geometric optics. Zbl 0854.35115
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
4
1996
Dense oscillations for the Euler equations. II. Zbl 0920.35112
Joly, J.-L.; Metivier, G.; Rauch, J.
1
1996
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
47
1995
Focusing at a point and absorption of nonlinear oscillations. Zbl 0857.35087
Joly, J. L.; Métivier, G.; Rauch, J.
21
1995
Trilinear compensated compactness and nonlinear geometric optics. Zbl 0840.35013
Joly, J. L.; Métivier, G.; Rauch, J.
6
1995
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
17
1994
A nonlinear instability for \(3\times 3\) systems of conservation laws. Zbl 0820.35093
Joly, J. L.; Metivier, G.; Rauch, J.
10
1994
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
42
1993
Resonant one dimensional nonlinear geometric optics. Zbl 0851.35023
Joly, J.-L.; Métivier, G.; Rauch, J.
31
1993
Counterexamples to Hölmgren’s uniqueness for analytic nonlinear Cauchy problems. Zbl 0794.35026
Métivier, G.
7
1993
Focusing and absorption of nonlinear oscillations. Zbl 0815.35071
Joly, J. L.; Métivier, G.; Rauch, J.
1
1993
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
1992
Ondes soniques. (Sonic waves). Zbl 0728.35068
Métivier, G.
9
1991
Remarques sur l’optique géométrique non linéaire multidimensionnelle. (Remarks on nonlinear multidimensional geometric optics). Zbl 0749.35055
Joly, J. L.; Metivier, G.; Rauch, J.
7
1991
Vecteurs analytiques réduits et analyticité. (Reduced analytic vectors and analyticity). Zbl 0735.35043
Bolley, Pierre; Camus, Jacques; Metivier, Guy
1
1991
Stability of multidimensional weak shocks. Zbl 0711.35078
Métivier, Guy
15
1990
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
6
1990
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Théorème d’unicité pour des vecteurs analytiques. (Uniqueness theorem for analytic vectors). Zbl 0704.35031
Bolley, Pierre; Camus, Jacques; Métivier, Guy
2
1990
Propagation, interaction and reflection of discontinuous progressing waves for semilinear hyperbolic systems. Zbl 0687.35021
Metivier, Guy
8
1989
The interaction of two progressing waves. Zbl 0697.35093
Métivier, Guy; Rauch, Jeffrey
1
1989
Ondes soniques. Zbl 0673.35065
Métivier, G.
1
1988
Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051
Beals, Michael; Métivier, Guy
8
1987
Nonlinear mixed problems and stability of multidimensional shocks. (Problèmes mixtes non linéaires et stabilité des chocs multidimensionnels.) Zbl 0659.35063
Métivier, Guy
6
1987
Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). Zbl 0619.35075
Métivier, Guy
30
1986
The Cauchy problem for semilinear hyperbolic systems with discontinuous data. Zbl 0631.35056
Metivier, Guy
16
1986
Propagation de l’analyticité locale pour les solutions de l’équation d’Euler. (Propagation of local analyticity for the solutions of the Euler equation). Zbl 0606.76027
Alinhac, S.; Métivier, G.
12
1986
Estimations de Schauder et régularité Höldérienne pour une classe de problèmes aux limites singuliers. (Schauder estimates and Hölder regularity for a class of singular boundary value problems). Zbl 0608.35026
Bolley, P.; Camus, J.; Metivier, G.
11
1986
Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050
Beals, Michael; Metivier, Guy
9
1986
Problemes de Cauchy et ondes non linéaires. Zbl 0606.35051
Metivier, Guy
2
1986
Uniqueness and approximation of solutions of first order nonlinear equations. Zbl 0594.35018
Metivier, Guy
7
1985
Propagation de l’analyticité des solutions de systèmes hyperboliques non-linéaires. Zbl 0545.35063
Alinhac, S.; Métivier, G.
32
1984
Propagation de l’analyticité des solutions d’équations non- linéaires de type principal. Zbl 0566.35017
Alinhac, S.; Metivier, G.
5
1984
Kernels and symbols of analytic pseudodifferential operators. Zbl 0535.35081
Baouendi, M. S.; Goulaouic, C.; Métivier, G.
8
1983
Estimation du reste en théorie spectrale. Zbl 0558.35050
Metivier, Guy
2
1983
Estimation du reste en théorie spectrale. Zbl 0542.35055
Métivier, Guy
1
1983
...and 19 more Documents
all top 5

Cited by 1,061 Authors

51 Zumbrun, Kevin R.
42 Métivier, Guy
28 Rauch, Jeffrey B.
19 Alazard, Thomas
18 Fan, Jishan
18 Trakhinin, Yuri L.
17 Williams, Mark
16 Cheverry, Christophe
16 Guès, Olivier
15 Li, Fucai
14 Chen, Hua
14 Himonas, A. Alexandrou
14 Wang, Ya-Guang
13 Bove, Antonio
13 Carles, Rémi
13 Fanelli, Francesco
12 Chen, Gui-Qiang G.
12 Coulombel, Jean-François
12 Derridj, Makhlouf
12 Lannes, David
12 Zhu, Shengguo
11 Chen, Shuxing
11 Ju, Qiangchang
11 Tartakoff, David S.
10 Del Santo, Daniele
10 Petronilho, Gerson
10 Schochet, Steven H.
9 Benoit, Antoine
9 Bresch, Didier
9 Colin, Thierry
9 Li, Dening
9 Morando, Alessandro
9 Nakamura, Gen
9 Ou, Yaobin
9 Rousset, Frédéric
9 Secchi, Paolo
9 Texier, Benjamin
9 Trebeschi, Paola
8 Chinni, Gregorio
8 Temam, Roger Meyer
8 Wang, Tao
8 Xin, Zhouping
8 Zhang, Zhifei
7 Berti, Massimiliano
7 Colombini, Ferruccio
7 Feola, Roberto
7 Freistühler, Heinrich
7 Joly, Jean-Luc
7 Masmoudi, Nader
7 Montalto, Riccardo
7 Mughetti, Marco
7 Nguyen, Huy Quang
7 Nguyen, Toan Trong
7 Tang, Tong
7 Wang, Dehua
7 Wang, Yaguang
7 Xie, Chunjing
7 Yin, Huicheng
7 Zhou, Yong
6 Barker, Blake
6 Barsukow, Wasilij
6 Burq, Nicolas
6 Chen, Hongge
6 Cordaro, Paulo D.
6 Godin, Paul
6 Hanges, Nicholas William
6 Humpherys, Jeffrey
6 Jiang, Song
6 Lapidus, Michel L.
6 Rothschild, Linda Preiss
6 Sueur, Franck
6 Xiang, Wei
5 Audiard, Corentin
5 Baldi, Pietro
5 Benzoni-Gavage, Sylvie
5 Chen, Robin Ming
5 Christ, Michael
5 Desjardins, Benoît
5 Duchêne, Vincent
5 Gallagher, Isabelle
5 Helffer, Bernard
5 Huang, Feimin
5 Iandoli, Felice
5 Ifrim, Mihaela
5 Junca, Stéphane
5 Li, Jingna
5 Lyng, Gregory Daniel
5 Pusateri, Fabio
5 Strani, Marta
5 Tataru, Daniel
5 Trélat, Emmanuel
5 Yuan, Difan
5 Zhang, Ping
5 Zuily, Claude
4 Albano, Paolo
4 Alinhac, Serge
4 Babin, Anatoli V.
4 Bianchini, Roberta
4 Cheng, Bin
4 Cicognani, Massimo
...and 961 more Authors
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Cited in 225 Serials

96 Journal of Differential Equations
70 Archive for Rational Mechanics and Analysis
67 Communications in Partial Differential Equations
30 SIAM Journal on Mathematical Analysis
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 Communications in Mathematical Physics
23 Journal of Functional Analysis
23 Transactions of the American Mathematical Society
20 Journal of Hyperbolic Differential Equations
19 Duke Mathematical Journal
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Physica D
18 Journal of Mathematical Analysis and Applications
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Proceedings of the American Mathematical Society
15 Annales de l’Institut Fourier
14 Journal of Mathematical Physics
14 Mathematische Annalen
14 Quarterly of Applied Mathematics
14 Journal of Mathematical Fluid Mechanics
12 Advances in Mathematics
11 Communications on Pure and Applied Mathematics
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Calculus of Variations and Partial Differential Equations
11 Discrete and Continuous Dynamical Systems
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Memoirs of the American Mathematical Society
9 Communications on Pure and Applied Analysis
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Kinetic and Related Models
8 Journal of Computational Physics
8 Mathematical Methods in the Applied Sciences
8 Nonlinearity
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Applied Mathematics Letters
8 Journal of Nonlinear Science
8 Nonlinear Analysis. Real World Applications
8 Annals of PDE
7 Mathematische Zeitschrift
7 Zeitschrift für Analysis und ihre Anwendungen
7 Journal of Evolution Equations
7 Science China. Mathematics
7 Journal of Pseudo-Differential Operators and Applications
6 Inventiones Mathematicae
6 Journal of Computational and Applied Mathematics
6 Journal of Dynamics and Differential Equations
6 Communications in Contemporary Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
6 Analysis & PDE
6 Séminaire Laurent Schwartz. EDP et Applications
5 Mathematics of Computation
5 Bulletin de la Société Mathématique de France
5 Acta Applicandae Mathematicae
5 Asymptotic Analysis
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Discrete and Continuous Dynamical Systems. Series S
5 Complex Analysis and its Synergies
5 Nonlinear Analysis. Theory, Methods & Applications
5 Water Waves
4 Israel Journal of Mathematics
4 Indiana University Mathematics Journal
4 Monatshefte für Mathematik
4 Proceedings of the Japan Academy. Series A
4 Chinese Annals of Mathematics. Series B
4 Acta Mathematica Sinica. New Series
4 Abstract and Applied Analysis
4 Wuhan University Journal of Natural Sciences (WUJNS)
3 Computers and Fluids
3 Computers & Mathematics with Applications
3 Journal d’Analyse Mathématique
3 Mathematische Nachrichten
3 Numerische Mathematik
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 SIAM Journal on Numerical Analysis
3 Siberian Mathematical Journal
3 Applied Numerical Mathematics
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Journal of the American Mathematical Society
3 Journal of Scientific Computing
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 NoDEA. Nonlinear Differential Equations and Applications
3 Acta Mathematica Sinica. English Series
3 Annales Henri Poincaré
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Journal of the Institute of Mathematics of Jussieu
3 Annales Henri Lebesgue
2 Classical and Quantum Gravity
2 Journal of Fluid Mechanics
2 Letters in Mathematical Physics
2 Arkiv för Matematik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Integral Equations and Operator Theory
2 Journal of the Mathematical Society of Japan
2 Journal of Soviet Mathematics
...and 125 more Serials
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Cited in 46 Fields

1,043 Partial differential equations (35-XX)
489 Fluid mechanics (76-XX)
71 Optics, electromagnetic theory (78-XX)
51 Global analysis, analysis on manifolds (58-XX)
49 Numerical analysis (65-XX)
43 Operator theory (47-XX)
41 Statistical mechanics, structure of matter (82-XX)
34 Mechanics of deformable solids (74-XX)
32 Dynamical systems and ergodic theory (37-XX)
27 Differential geometry (53-XX)
22 Topological groups, Lie groups (22-XX)
22 Ordinary differential equations (34-XX)
21 Functional analysis (46-XX)
21 Quantum theory (81-XX)
21 Geophysics (86-XX)
20 Several complex variables and analytic spaces (32-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
15 Real functions (26-XX)
12 Abstract harmonic analysis (43-XX)
12 Probability theory and stochastic processes (60-XX)
11 Systems theory; control (93-XX)
9 Relativity and gravitational theory (83-XX)
8 Measure and integration (28-XX)
6 Mechanics of particles and systems (70-XX)
6 Astronomy and astrophysics (85-XX)
5 Nonassociative rings and algebras (17-XX)
5 Functions of a complex variable (30-XX)
4 Biology and other natural sciences (92-XX)
3 Number theory (11-XX)
2 Potential theory (31-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)

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