Rauch, Jeffrey; Scott, L. Ridgeway Analysis of the experiment defining the dielectric constant. Analysis of the experiment defining the dielectric constant. (English) Zbl 1455.78005 Indiana Univ. Math. J. 69, No. 5, 1663-1683 (2020). MSC: 78A30 78-05 35Q60 PDFBibTeX XMLCite \textit{J. Rauch} and \textit{L. R. Scott}, Indiana Univ. Math. J. 69, No. 5, 1663--1683 (2020; Zbl 1455.78005) Full Text: DOI
Halpern, Laurence; Métivier, Ludovic; Rauch, Jeffrey; Ryan, Juliette Nobody’s perfect; matched layers for heterogeneous media. (English) Zbl 1407.65157 SIAM J. Sci. Comput. 41, No. 1, A1-A25 (2019). MSC: 65M55 65M12 30E10 78A05 35C20 PDFBibTeX XMLCite \textit{L. Halpern} et al., SIAM J. Sci. Comput. 41, No. 1, A1--A25 (2019; Zbl 1407.65157) Full Text: DOI
Allaire, Grégoire; Rauch, Jeffrey Instability of dielectrics and conductors in electrostatic fields. (English) Zbl 1428.35551 Arch. Ration. Mech. Anal. 224, No. 1, 233-268 (2017). MSC: 35Q60 78A30 78-03 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{J. Rauch}, Arch. Ration. Mech. Anal. 224, No. 1, 233--268 (2017; Zbl 1428.35551) Full Text: DOI HAL
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey A bound on the group velocity for Bloch wave packets. (English) Zbl 1342.35190 Port. Math. (N.S.) 72, No. 2-3, 119-123 (2015). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35P15 78A05 35B40 PDFBibTeX XMLCite \textit{G. Allaire} et al., Port. Math. (N.S.) 72, No. 2--3, 119--123 (2015; Zbl 1342.35190) Full Text: DOI arXiv
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey Diffractive geometric optics for Bloch wave packets. (English) Zbl 1269.78004 Arch. Ration. Mech. Anal. 202, No. 2, 373-426 (2011). Reviewer: Shoukry S. Hassan (Bahrain) MSC: 78A05 78A45 35Q60 78A60 PDFBibTeX XMLCite \textit{G. Allaire} et al., Arch. Ration. Mech. Anal. 202, No. 2, 373--426 (2011; Zbl 1269.78004) Full Text: DOI
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 PDFBibTeX XMLCite \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
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey Diffractive behavior of the wave equation in periodic media: weak convergence analysis. (English) Zbl 1200.35019 Ann. Mat. Pura Appl. (4) 188, No. 4, 561-589 (2009). MSC: 35B27 35J10 35B25 78A05 35L15 PDFBibTeX XMLCite \textit{G. Allaire} et al., Ann. Mat. Pura Appl. (4) 188, No. 4, 561--589 (2009; Zbl 1200.35019) Full Text: DOI
Rauch, Jeffrey; Mourou, Gérard The time integrated far field for Maxwell’s and D’Alembert’s equations. (English) Zbl 1088.78010 Proc. Am. Math. Soc. 134, No. 3, 851-858 (2006). Reviewer: Bogdan G. Nita (Upper Montclair) MSC: 78M35 78A40 78A60 35L05 PDFBibTeX XMLCite \textit{J. Rauch} and \textit{G. Mourou}, Proc. Am. Math. Soc. 134, No. 3, 851--858 (2006; Zbl 1088.78010) Full Text: DOI
Carles, Rémi; Rauch, Jeffrey Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic. (English) Zbl 1094.35081 Rev. Mat. Iberoam. 20, No. 3, 815-864 (2004). MSC: 35L70 35B25 35B40 35C20 35Q60 78A45 78A05 35B33 PDFBibTeX XMLCite \textit{R. Carles} and \textit{J. Rauch}, Rev. Mat. Iberoam. 20, No. 3, 815--864 (2004; Zbl 1094.35081) Full Text: DOI EuDML
Carles, Rémi; Rauch, Jeffrey Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases. (English) Zbl 1095.35010 Tohoku Math. J., II. Ser. 56, No. 3, 393-410 (2004). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L70 35C20 35B25 35B40 35Q60 78A45 78A05 35B33 PDFBibTeX XMLCite \textit{R. Carles} and \textit{J. Rauch}, Tôhoku Math. J. (2) 56, No. 3, 393--410 (2004; Zbl 1095.35010) Full Text: DOI arXiv
Alterman, Deborah; Rauch, Jeffrey Diffractive nonlinear geometric optics for short pulses. (English) Zbl 1036.35049 SIAM J. Math. Anal. 34, No. 6, 1477-1502 (2003). Reviewer: Luis Vazquez (Madrid) MSC: 35C20 78A05 35L60 35B40 PDFBibTeX XMLCite \textit{D. Alterman} and \textit{J. Rauch}, SIAM J. Math. Anal. 34, No. 6, 1477--1502 (2003; Zbl 1036.35049) Full Text: DOI
Alterman, Deborah; Rauch, Jeffrey Nonlinear geometric optics for short pulses. (English) Zbl 1006.35015 J. Differ. Equations 178, No. 2, 437-465 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35B40 35Q60 78A05 PDFBibTeX XMLCite \textit{D. Alterman} and \textit{J. Rauch}, J. Differ. Equations 178, No. 2, 437--465 (2002; Zbl 1006.35015) Full Text: DOI
Carles, Rémi; Rauch, Jeffrey Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and scattering. (Diffusion d’impulsions non linéaires radiales focalisantes dans \(\mathbb{R}^{1+3}\).) (French. Abridged English version) Zbl 0985.35045 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 12, 1077-1082 (2001). MSC: 35L70 78A05 PDFBibTeX XMLCite \textit{R. Carles} and \textit{J. Rauch}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 12, 1077--1082 (2001; Zbl 0985.35045) Full Text: DOI
Carles, Rémi; Rauch, Jeffrey Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and absorption. (Absorption d’impulsions non linéaires radiales focalisantes dans \(\mathbb{R}^{1+3}\).) (French. Abridged English version) Zbl 0988.35120 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 11, 985-990 (2001). MSC: 35L70 78A05 PDFBibTeX XMLCite \textit{R. Carles} and \textit{J. Rauch}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 11, 985--990 (2001; Zbl 0988.35120) Full Text: DOI
Lannes, David; Rauch, Jeffrey Validity of nonlinear geometric optics with times growing logarithmically. (English) Zbl 0980.35093 Proc. Am. Math. Soc. 129, No. 4, 1087-1096 (2001). Reviewer: V.D.Sharma MSC: 35L60 78A60 35B25 35B40 35Q60 35C20 PDFBibTeX XMLCite \textit{D. Lannes} and \textit{J. Rauch}, Proc. Am. Math. Soc. 129, No. 4, 1087--1096 (2001; Zbl 0980.35093) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. L. Joly} et al., Ann. Henri Poincaré 1, No. 2, 307--340 (2000; Zbl 0964.35155) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J.-L. Joly} et al., J. Differ. Equations 166, No. 1, 175--250 (2000; Zbl 1170.78311) Full Text: DOI
Alterman, Deborah; Rauch, Jeffrey Diffractive short pulse asymptotics for nonlinear wave equations. (English) Zbl 0947.35033 Phys. Lett., A 264, No. 5, 390-395 (2000). MSC: 35C20 78A60 35L70 PDFBibTeX XMLCite \textit{D. Alterman} and \textit{J. Rauch}, Phys. Lett., A 264, No. 5, 390--395 (2000; Zbl 0947.35033) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J.-L. Joly} et al., Indiana Univ. Math. J. 47, No. 4, 1167--1241 (1998; Zbl 0928.35093) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{J.-L. Joly} et al., ESAIM, Proc. 3, 85--99 (1998; Zbl 0913.65119) Full Text: DOI
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 PDFBibTeX XMLCite \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
Donnat, Phillipe; Rauch, Jeffrey Dispersive nonlinear geometric optics. (English) Zbl 0881.35078 J. Math. Phys. 38, No. 3, 1484-1523 (1997). Reviewer: T.Aktosun (Fargo) MSC: 35L75 35C20 35Q60 78A05 78A60 PDFBibTeX XMLCite \textit{P. Donnat} and \textit{J. Rauch}, J. Math. Phys. 38, No. 3, 1484--1523 (1997; Zbl 0881.35078) Full Text: DOI Link
Donnat, P.; Rauch, J. Global solvability of the Maxwell-Bloch equations from nonlinear optics. (English) Zbl 0873.35093 Arch. Ration. Mech. Anal. 136, No. 3, 291-303 (1996). Reviewer: I.E.Tralle (Minsk) MSC: 35Q60 78A25 35D05 PDFBibTeX XMLCite \textit{P. Donnat} and \textit{J. Rauch}, Arch. Ration. Mech. Anal. 136, No. 3, 291--303 (1996; Zbl 0873.35093) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. L. Joly} et al., SIAM J. Math. Anal. 27, No. 4, 905--913 (1996; Zbl 0859.35124) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J.-L. Joly} et al., Commun. Pure Appl. Math. 49, No. 5, 443--527 (1996; Zbl 0862.35066) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. L. Joly} et al., Ann. Math. (2) 142, No. 1, 121--169 (1995; Zbl 0840.35013) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. L. Joly} et al., J. Funct. Anal. 114, No. 1, 106--231 (1993; Zbl 0851.35023) Full Text: DOI Link
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XML Full Text: Numdam EuDML
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 PDFBibTeX XML Full Text: Numdam EuDML