Métivier, Guy; Rauch, Jeffrey Invariance and stability of the profile equations of geometric optics. (English) Zbl 1265.35202 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 6, 2141-2158 (2011). MSC: 35L40 35L50 35B40 78A05 PDF BibTeX XML Cite \textit{G. Métivier} and \textit{J. Rauch}, Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 6, 2141--2158 (2011; Zbl 1265.35202) Full Text: DOI OpenURL
Métivier, Guy The mathematics of nonlinear optics. (English) Zbl 1191.35263 Dafermos, C.M.(ed.) et al., Handbook of differential equations: Evolutionary equations. Vol. V. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53222-0/hbk). Handbook of Differential Equations, 169-313 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q60 35Q61 35L05 35L70 78A60 PDF BibTeX XML Cite \textit{G. Métivier}, in: Handbook of differential equations: Evolutionary equations. Vol. V. Amsterdam: Elsevier/North-Holland. 169--313 (2009; Zbl 1191.35263) Full Text: DOI OpenURL
Métivier, Guy Space propagation of instabilities in Zakharov equations. (English) Zbl 1143.78355 Physica D 237, No. 10-12, 1640-1654 (2008). MSC: 78A60 35Q60 PDF BibTeX XML Cite \textit{G. Métivier}, Physica D 237, No. 10--12, 1640--1654 (2008; Zbl 1143.78355) Full Text: DOI arXiv OpenURL
Colin, Thierry; Métivier, Guy Instabilities in Zakharov equations for laser propagation in a plasma. (English) Zbl 1133.35303 Bove, Antonio (ed.) et al., Phase space analysis of partial differential equations. Basel: Birkhäuser (ISBN 978-0-8176-4511-3/hbk; 978-0-8176-4521-2/e-book). Progress in Nonlinear Differential Equations and Their Applications 69, 63-81 (2006). MSC: 35A07 35Q53 78A60 82D10 35R25 PDF BibTeX XML Cite \textit{T. Colin} and \textit{G. Métivier}, Prog. Nonlinear Differ. Equ. Appl. 69, 63--81 (2006; Zbl 1133.35303) Full Text: arXiv OpenURL
Cheverry, C.; Guès, O.; Métivier, G. Large-amplitude high-frequency waves for quasilinear hyperbolic systems. (English) Zbl 1107.35079 Adv. Differ. Equ. 9, No. 7-8, 829-890 (2004). MSC: 35L60 35L45 76N15 78A60 PDF BibTeX XML Cite \textit{C. Cheverry} et al., Adv. Differ. Equ. 9, No. 7--8, 829--890 (2004; Zbl 1107.35079) OpenURL
Métivier, Guy Examples of instabilities for nonlinear wave equations (following G. Lebeau). (Exemples d’instabilités pour des équations d’ondes non linéaires (d’après G. Lebeau).) (French) Zbl 1215.35106 Séminaire Bourbaki. Volume 2002/2003. Exposés 909–923. Paris: Société Mathématique de France (ISBN 2-85629-156-2/pbk). Astérisque 294, 63-75, Exp. No. 911 (2004). MSC: 35L70 35R25 78A05 PDF BibTeX XML Cite \textit{G. Métivier}, Astérisque 294, 63--75, Exp. No. 911 (2004; Zbl 1215.35106) OpenURL
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey Resonant geometric optics and webs. (English) Zbl 1047.53006 Grifone, Joseph (ed.) et al., Web theory and related topics. Singapore: World Scientific (ISBN 981-02-4604-8). 114-132 (2001). Reviewer: A. M. Shelekhov (Tver’) MSC: 53A60 78A05 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., in: Web theory and related topics. Singapore: World Scientific. 114--132 (2001; Zbl 1047.53006) OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. Global solutions to Maxwell equations in a ferromagnetic medium. (English) Zbl 0964.35155 Ann. Henri Poincaré 1, No. 2, 307-340 (2000). Reviewer: Nikolai Pleshchinskii (Kazan’) MSC: 35Q60 78A25 PDF BibTeX XML Cite \textit{J. L. Joly} et al., Ann. Henri Poincaré 1, No. 2, 307--340 (2000; Zbl 0964.35155) Full Text: DOI OpenURL
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey Transparent nonlinear geometric optics and Maxwell-Bloch equations. (English) Zbl 1170.78311 J. Differ. Equations 166, No. 1, 175-250 (2000). MSC: 78A05 35Q60 78A60 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., J. Differ. Equations 166, No. 1, 175--250 (2000; Zbl 1170.78311) Full Text: DOI OpenURL
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey Nonlinear geometric optics and Maxwell-Bloch equations. (Optique géométrique non linéaire et équations de Maxwell-Bloch.) (French) Zbl 1086.35526 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1998-1999, Exp. No. XI, 21 p. (1999). MSC: 35Q60 35L60 78A60 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1998--1999, Exp. No. XI, 21 p. (1999; Zbl 1086.35526) Full Text: Numdam EuDML OpenURL
Métivier, Guy; Joly, Jean-Luc; Rauch, Jeffrey Recent results in nonlinear geometric optics. (English) Zbl 0938.35034 Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 130, 723-736 (1999). Reviewer: M.Idemen (İstanbul) MSC: 35C20 78A05 35L60 35B15 PDF BibTeX XML Cite \textit{G. Métivier} et al., ISNM, Int. Ser. Numer. Math. 130, 723--736 (1999; Zbl 0938.35034) OpenURL
Joly, J. L.; Metivier, G.; Rauch, J. Dense oscillations for the compressible 2D Euler equations. (English) Zbl 0952.35102 Cioranescu, D. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIII. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1994-1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 391, 134-166 (1998). Reviewer: Guy Jumarie (Montréal) MSC: 35Q35 35B05 78A05 76N15 PDF BibTeX XML Cite \textit{J. L. Joly} et al., in: Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIII. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1994--1996. Harlow: Longman. 134--166 (1998; Zbl 0952.35102) OpenURL
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey Diffractive nonlinear geometric optics with rectification. (English) Zbl 0928.35093 Indiana Univ. Math. J. 47, No. 4, 1167-1241 (1998). Reviewer: J.Rauch (Ann Arbor) MSC: 35L60 78A05 35C20 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., Indiana Univ. Math. J. 47, No. 4, 1167--1241 (1998; Zbl 0928.35093) Full Text: DOI Link OpenURL
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey Electromagnetic wave propagation in presence of a ferromagnetic material. (Propagation des ondes électromagnétiques en présence d’un matériau ferromagnétique.) (French) Zbl 0913.65119 ESAIM, Proc. 3, 85-99 (1998). Reviewer: L.Vazquez (Madrid) MSC: 65Z05 78A40 35Q60 78A25 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., ESAIM, Proc. 3, 85--99 (1998; Zbl 0913.65119) Full Text: DOI Link OpenURL
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey Global solutions of Maxwell’s system in a ferromagnetic medium. (Solutions globales du système de Maxwell dans un milieu ferromagnétique.) (French) Zbl 1255.35203 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1996-1997, Exp. No. XI, 12 p. (1997). MSC: 35Q60 78A25 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1996--1997, Exp. No. XI, 12 p. (1997; Zbl 1255.35203) Full Text: Numdam EuDML OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. Nonlinear oscillations and caustics. (English) Zbl 0909.35093 Rauch, Jeffrey (ed.) et al., Singularities and oscillations. New York, NY: Springer. IMA Vol. Math. Appl. 91, 79-95 (1997). Reviewer: L.Kalyakin (Ufa) MSC: 35L70 78A05 PDF BibTeX XML Cite \textit{J. L. Joly} et al., IMA Vol. Math. Appl. 91, 79--95 (1997; Zbl 0909.35093) OpenURL
Joly, J. L.; Metivier, G.; Rauch, J. Global solvability of the anharmonic oscillator model from nonlinear optics. (English) Zbl 0859.35124 SIAM J. Math. Anal. 27, No. 4, 905-913 (1996). MSC: 35Q60 78A60 35L60 PDF BibTeX XML Cite \textit{J. L. Joly} et al., SIAM J. Math. Anal. 27, No. 4, 905--913 (1996; Zbl 0859.35124) Full Text: DOI OpenURL
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey Several recent results in nonlinear geometric optics. (Quelques résultats récents en optique géométrique non linéaire.) (French) Zbl 0854.35116 Deville, R. (ed.) et al., Complex analysis, harmonic analysis and applications. Proceedings of a conference in honour of the retirement of Roger Gay, June 7-9, 1995, Bordeaux, France. Harlow: Longman. Pitman Res. Notes Math. Ser. 347, 183-207 (1996). Reviewer: Ll.G.Chambers (Bangor) MSC: 35Q60 78A05 78A60 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., in: Complex analysis, harmonic analysis and applications. Proceedings of a conference in honour of the retirement of Roger Gay, June 7-9, 1995, Bordeaux, France. Harlow: Longman. 183--207 (1996; Zbl 0854.35116) OpenURL
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey Nonlinear oscillations beyond caustics. (English) Zbl 0862.35066 Commun. Pure Appl. Math. 49, No. 5, 443-527 (1996). Reviewer: I.E.Tralle (Minsk) MSC: 35L60 35C20 35L70 78A60 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., Commun. Pure Appl. Math. 49, No. 5, 443--527 (1996; Zbl 0862.35066) Full Text: DOI OpenURL
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey Several recent results in nonlinear geometric optics. (English) Zbl 0854.35115 Hörmander, Lars (ed.) et al., Partial differential equations and mathematical physics. The Danish-Swedish analysis seminar, Copenhagen, Denmark, Lund, Sweden, March 17-19, May 19-21, 1995. Proceedings. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 21, 181-206 (1996). Reviewer: Ll.G.Chambers (Bangor) MSC: 35Q60 78A05 78A60 PDF BibTeX XML Cite \textit{J.-L. Joly} et al., Prog. Nonlinear Differ. Equ. Appl. 21, 181--206 (1996; Zbl 0854.35115) OpenURL
Joly, J.-L.; Metivier, G.; Rauch, J. Dense oscillations for the Euler equations. II. (English) Zbl 0920.35112 Glimm, J. (ed.) et al., Proceedings of the 5th international conference on hyperbolic problems: theory, numerics, applications, New York, NY, USA, June 13–17, 1994. Singapore: World Scientific. 425-430 (1996). MSC: 35Q35 76N10 78A60 PDF BibTeX XML Cite \textit{J. L. Joly} et al., in: Proceedings of the 5th international conference on hyperbolic problems: theory, numerics, applications, New York, NY, USA, June 13--17, 1994. Singapore: World Scientific. 425--430 (1996; Zbl 0920.35112) OpenURL
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J. Diffractive nonlinear geometric optics. (English) Zbl 0910.35076 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1995-1996, Exp. No. 17, 23 p. (1996). Reviewer: L.Kalyakin (Ufa) MSC: 35L40 78A05 PDF BibTeX XML Cite \textit{P. Donnat} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 17, 23 p. (1996; Zbl 0910.35076) Full Text: Numdam EuDML OpenURL
Métivier, G.; Schochet, S. Trilinear resonant interactions. (Interactions trilinéaires resonantes.) (French) Zbl 0885.35066 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1995-1996, Exp. No. 6, 14 p. (1996). Reviewer: Z.Denkowski (Kraków) MSC: 35L60 78A05 PDF BibTeX XML Cite \textit{G. Métivier} and \textit{S. Schochet}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 6, 14 p. (1996; Zbl 0885.35066) Full Text: EuDML OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. Trilinear compensated compactness and nonlinear geometric optics. (English) Zbl 0840.35013 Ann. Math. (2) 142, No. 1, 121-169 (1995). Reviewer: M.Codegone (Torino) MSC: 35B40 78A05 PDF BibTeX XML Cite \textit{J. L. Joly} et al., Ann. Math. (2) 142, No. 1, 121--169 (1995; Zbl 0840.35013) Full Text: DOI OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. Trilinear compensation compactness and nonlinear geometric optics. (Compacité par compensation trilinéaire et optique géométrique non linéaire.) (French) Zbl 0925.35098 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1993-1994, Exp. No. 3, 12 p. (1994). Reviewer: I.Vrabie (Iaşi) MSC: 35L60 78A05 PDF BibTeX XML Cite \textit{J. L. Joly} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 3, 12\,p. (1994; Zbl 0925.35098) Full Text: Numdam EuDML OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. Focusing and absorption of nonlinear oscillations. (English) Zbl 0815.35071 Journ. Équ. Dériv. Partielles, St.-Jean-de-Monts 1993, No. 3, 11 p. (1993). Reviewer: L.Kalyakin (Ufa) MSC: 35L70 78A05 PDF BibTeX XML Cite \textit{J. L. Joly} et al., Journ. Équ. Dériv. Partielles, St.-Jean-de-Monts 1993, No. 3, 11 p. (1993; Zbl 0815.35071) Full Text: Numdam EuDML OpenURL
Joly, J.-L.; Métivier, G.; Rauch, J. Resonant one dimensional nonlinear geometric optics. (English) Zbl 0851.35023 J. Funct. Anal. 114, No. 1, 106-231 (1993). MSC: 35C20 78A05 53A60 PDF BibTeX XML Cite \textit{J. L. Joly} et al., J. Funct. Anal. 114, No. 1, 106--231 (1993; Zbl 0851.35023) Full Text: DOI Link OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. On the profiles of nonlinear geometric optics. (English) Zbl 0891.35080 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1992-1993, Exp. No. 1, 14 p. (1993). Reviewer: T.Aktosun (Fargo) MSC: 35L40 35C20 35L60 78A05 PDF BibTeX XML Cite \textit{J. L. Joly} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 1, 14 p. (1993; Zbl 0891.35080) Full Text: EuDML OpenURL
Joly, J. L.; Metivier, G.; Rauch, J. Remarques sur l’optique géométrique non linéaire multidimensionnelle. (Remarks on nonlinear multidimensional geometric optics). (French) Zbl 0749.35055 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.I, 17 p. (1991). Reviewer: I.Onciulescu (Iaşi) MSC: 35Q60 35L40 35C20 78A05 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Joly, J. L.; Métivier, G.; Rauch, J. Rigorous resonant 1-d nonlinear geometric optics. (English) Zbl 0718.35094 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1990, No. 7, 12 p. (1990). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35Q60 78A60 PDF BibTeX XML Full Text: Numdam EuDML OpenURL