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Volumn 54, Issue 4, 2005, Pages 1107-1143

A few remarks on a theorem by J. Rauch

Author keywords

Boundary layers; Characteristic boundary; Maximale dissipative; Viscous perturbations; Weakly dissipation

Indexed keywords


EID: 26444515574     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2005.54.2666     Document Type: Article
Times cited : (3)

References (19)
  • 2
    • 0000914339 scopus 로고
    • On positivity of pseudo-differential operators
    • MR507931 (80b:47064)
    • CHARLES L. FEFFERMAN and DUONG H. PHONG, On positivity of pseudo-differential operators, Proc. Nat. Acad. Sci. U.S.A. 75 (1978), 4673-4674. MR507931 (80b:47064)
    • (1978) Proc. Nat. Acad. Sci. U.S.A. , vol.75 , pp. 4673-4674
    • Fefferman, C.L.1    Phong, D.H.2
  • 4
    • 0001557193 scopus 로고
    • Étude des conditions aux limites pour un système strictement hyberbolique via l'approximation parabolique
    • MR1289315 (95e:35119) (French)
    • MARGUERITE GISCLON and DENIS SERRE, Étude des conditions aux limites pour un système strictement hyberbolique via l'approximation parabolique, C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), 377-382. MR1289315 (95e:35119) (French)
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.319 , pp. 377-382
    • Gisclon, M.1    Serre, D.2
  • 5
    • 84959959871 scopus 로고
    • Problème mixte hyperbolique quasi-linéaire caractéristique
    • MR1070840 (91i:35122) (French)
    • OLIVIER GUÈS, Problème mixte hyperbolique quasi-linéaire caractéristique, Comm. Partial Differential Equations 15 (1990), 595-645. MR1070840 (91i:35122) (French)
    • (1990) Comm. Partial Differential Equations , vol.15 , pp. 595-645
    • Guès, O.1
  • 6
    • 25544444880 scopus 로고
    • Développement asymptotique de solutions exactes de systèmes hyperboliques quasilinèaires
    • MR1201195 (94b:35067) (French, with English summary)
    • _, Développement asymptotique de solutions exactes de systèmes hyperboliques quasilinèaires, Asymptotic Anal. 6 (1993), 241-269. MR1201195 (94b:35067) (French, with English summary)
    • (1993) Asymptotic Anal. , vol.6 , pp. 241-269
  • 7
    • 0001271950 scopus 로고
    • Perturbations visqueuses de problèmes mixtes hyperboliques et couches limites
    • MR1359836 (97i:35103) (French)
    • _, Perturbations visqueuses de problèmes mixtes hyperboliques et couches limites, Ann. Inst. Fourier (Grenoble) 45 (1995), 973-1006. MR1359836 (97i:35103) (French)
    • (1995) Ann. Inst. Fourier (Grenoble) , vol.45 , pp. 973-1006
  • 8
    • 0040604772 scopus 로고
    • Linear and quasilinear equations of hyperbolic type
    • TOSIO KATO, Linear and quasilinear equations of hyperbolic type, Cime (1976).
    • (1976) Cime
    • Kato, T.1
  • 9
    • 84980156074 scopus 로고
    • Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
    • MR615627 (84d:35089)
    • SERGIU KLAINERMAN and ANDREW MAJDA, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34 (1981), 481-524. MR615627 (84d:35089)
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 481-524
    • Klainerman, S.1    Majda, A.2
  • 10
    • 0003201593 scopus 로고
    • Initial-boundary Value Problems and the Navier-stokes Equations
    • Academic Press Inc., Boston, MA, ISBN 0-12-426125-6. MR998379 (91a:35138)
    • HEINZ-OTTO KREISS and JENS LORENZ, Initial-boundary Value Problems and the Navier-Stokes Equations, Pure and Applied Mathematics, vol. 136, Academic Press Inc., Boston, MA, 1989, ISBN 0-12-426125-6. MR998379 (91a:35138)
    • (1989) Pure and Applied Mathematics , vol.136
    • Kreiss, H.-O.1    Lorenz, J.2
  • 11
    • 0002124586 scopus 로고
    • Stable viscosity matrices for systems of conservation laws
    • MR774165(86b:35132)
    • ANDREW MAJDA and ROBERT L. PEGO, Stable viscosity matrices for systems of conservation laws, J. Differential Equations 56 (1985), 229-262, http://dx.doi.org/10.1016/00220396(85)90107-X. MR774165(86b:35132)
    • (1985) J. Differential Equations , vol.56 , pp. 229-262
    • Majda, A.1    Pego, R.L.2
  • 12
    • 18144393444 scopus 로고    scopus 로고
    • Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems
    • MR2130346
    • GUY MÉTIVIER and KEVIN ZUMBRUN, Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems, Mem. Amer. Math. Soc. 175 (2005), vi+107. MR2130346
    • (2005) Mem. Amer. Math. Soc. , vol.175
    • Métivier, G.1    Zumbrun, K.2
  • 13
    • 0039173138 scopus 로고
    • Boundary value problems as limits of problems in all space
    • École Polytech., Palaiseau, p. Exp. No. 3, 17. MR557514 (81d:35053)
    • JEFFREY RAUCH, Boundary value problems as limits of problems in all space, Séminaire GoulaouicSchwartz (1978/1979), École Polytech., Palaiseau, 1979, p. Exp. No. 3, 17. MR557514 (81d:35053)
    • (1979) Séminaire GoulaouicSchwartz (1978/1979)
    • Rauch, J.1
  • 14
    • 84967712846 scopus 로고
    • Symmetric positive systems with boundary characteristic of constant multiplicity
    • MR797053 (87a:35122)
    • _, Symmetric positive systems with boundary characteristic of constant multiplicity, Trans. Amer. Math. Soc. 291 (1985), 167-187. MR797053 (87a:35122)
    • (1985) Trans. Amer. Math. Soc. , vol.291 , pp. 167-187
  • 15
    • 0035368187 scopus 로고    scopus 로고
    • Inviscid boundary conditions and stability of viscous boundary layers
    • MR1844545 (2003c:35114)
    • FRÉDÉRIC ROUSSET, Inviscid boundary conditions and stability of viscous boundary layers, Asymptot. Anal. 26 (2001), 285-306. MR1844545 (2003c:35114)
    • (2001) Asymptot. Anal. , vol.26 , pp. 285-306
    • Rousset, F.1
  • 16
    • 0004077443 scopus 로고    scopus 로고
    • Fondations. [Foundations], Diderot Editeur, Paris, ISBN 2-84134-072-4. MR1459989 (99e:35144) (French, with French summary)
    • DENIS SERRE, Systèmes de lois de conservation. II, Fondations. [Foundations], Diderot Editeur, Paris, 1996, ISBN 2-84134-072-4. MR1459989 (99e:35144) (French, with French summary)
    • (1996) Systèmes de Lois de Conservation. II
    • Serre, D.1
  • 18
    • 84875119895 scopus 로고    scopus 로고
    • Annales de la Faculté de Toulouse (to appear)
    • _, Couches limites semilinéaires, Annales de la Faculté de Toulouse (to appear).
    • Couches Limites Semilinéaires


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