Limite incompressible des équations d’Euler non isentropiques

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1. Anosov, Oscillations in systems of O.D.E. with rapidly oscillating solutions. Izvestia Akad.Nauk SSSR Mathematics, 24 (1960), 721–742. Zbl0102.08003MR126592
2. K. Asano, On the incompressible limit of the compressible Euler equation. Japan J. Appl. Math. 4 (1987), 455–488. Zbl0638.35012MR925620
3. P. Gérard, Microlocal defect measures. Comm. Partial Diff. Equ., 16 (1991) 1761–1794. Zbl0770.35001MR1135919
4. G.Hagedorn, Proof of the Landau-Zener Formula in an Adiabatic Limit with Small Eigenvalue Gap. Comm. in Math. Phys., 136 (1991), 433–449. Zbl0723.35068MR1099690
5. L. Hörmander, The Analysis of Linear Partial Differential Operators. Springer-Verlag, 1983. Zbl0521.35002
6. T. Iguchi, The incompressible limit and the initial layer of the compressible Euler equation in $R_{+}^n$. Math. Methods Appl. Sci. 20 (1997), 945–958. Zbl0884.35127MR1458527
7. H. Isozaki, Wave operators and the incompressible limit of the compressible Euler equation. Comm. Math. Phys. 110 (1987), 519–524. Zbl0627.76081MR891951
8. H. Isozaki, Singular limits for the compressible Euler equation in an exterior domain. J. Reine Angew. Math. 381 (1987), 1–36. Zbl0618.76073MR918838
9. H, Isozaki, Singular limits for the compressible Euler equation in an exterior domain. II. Bodies in a uniform flow. Osaka J. Math. 26 (1989), 399–410. Zbl0716.35065MR1017594
10. J.L. Joly, G. Métivier et J. Rauch, Coherent and focusing multidimensional nonlinear geometric optics. Ann.Scient.E.N.S Paris, 28 (1995), 51–113. Zbl0836.35087MR1305424
11. Joye, Proof of the Landau-Zener Formula. Asymptotic Analysis, 9 (1994), 209–258. Zbl0814.35109MR1295294
12. T.Kato, Perturbation Theory for Linear Operators. Springer Verlag, 1980. Zbl0148.12601
13. S. Klainerman et A. Majda, Singular perturbations of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Comm. Pure Appl. Math. 34 (1981) 481–524. Zbl0476.76068MR615627
14. S. Klainerman et A. Majda, Compressible and incompressible fluids. Comm. Pure Appl. Math. 35 (1982) 629–653. Zbl0478.76091MR668409
15. P.Lax et R.Phillips, Scattering Theory. Pure and Applied Mathematics 26, Academic Press, 1989. Zbl0697.35004MR1037774
16. Lochack et Meunier, Multiphase Averaging for Classical Systems. Applied Math. Sciences 72, Springer Verlag, 1988. Zbl0668.34044MR959890
17. G.Métivier et S.Schochet, The incompressible Limit of the Nonisentropic Euler Equations. Arch. Rat. Mech. Anal., à paraître. Zbl0974.76072
18. Neischadt, Averaging in multi-frequency systems. Doklady Akad. Nauk SSSR Mechanics, 226 (1975) 314–317, Soviet Phys. Doklady, 21 (1975) 492–494. Zbl0342.34028
19. M. Reed et B. Simon, Methods of Modern Mathematical Physics, New York, Academic Press. Zbl0401.47001
20. S. Schochet, The compressible Euler equations in a bounded domain : existence of solutions and the incompressible limit. Commun. Math. Phys. 104 (1986), 49–75. Zbl0612.76082MR834481
21. S. Schochet, Asymptotics for symmetric hyperbolic systems with a large parameter. J. Diff. Eq. 75 (1988), 1–27. Zbl0685.35014MR957005
22. S. Schochet, Fast singular limits of hyperbolic PDEs. J. Differential Equations 114 (1994), 476–512. Zbl0838.35071MR1303036
23. K.Uhlenbeck, Generic Properties of Eigenfunctions. Amer.J. Maths., 98 (1176), pp 1059-1078. Zbl0355.58017MR464332
24. S. Ukai, The incompressible limit and the initial layer of the compressible Euler equation. J. Math. Kyoto Univ. 26 (1986), 323–331. Zbl0618.76074MR849223

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