Singular limits in fluidynamics

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1. [Ag] R. Agemi, The incompressible limit of compressible fluid motion in a bounded domain, Proc. Japan Acad. Ser. A, 57 (1981), pp. 291-293. Zbl0494.76061MR628112
2. [As] K. Asano, On the incompressible limit of the compressible Euler equation, Japan J. Applied Math., 4 (1987), pp. 455-488. Zbl0638.35012MR925620
3. [BV1] H. Beirão Da Veiga, Stationary motions and the incompressible limit for compressible viscous fluids, Houston J. Math., 13 (1987), pp. 527-544. Zbl0663.76066MR929289
4. [BV2] H. Beirão Da Veiga, An Lp-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions, Comm. Math. Physics, 109 (1987), pp. 229-248. Zbl0621.76074MR880415
5. [BV3] H. Beirão Da Veiga, Perturbation theory and well-posedness in Hadamard's sense of hyperbolic initial-boundary value problems, J. Nonlinear Analysis: TMA, 22 (1994), pp. 1285-1308. Zbl0818.35057MR1279985
6. [BV4] H. Beirão Da Veiga, Perturbation theorems for linear hyperbolic mixed problems and applications to the compressible Euler equations, Comm. Pure Appl. Math., 46 (1993), pp. 221-259. Zbl0791.35102MR1199199
7. [BV5] H. Beirão Da Veiga, The initial boundary value problem for the nonbarotropic compressible Euler equations: structural-stability and data dependence, Ann. Inst. H. Poincaré: Analyse non linéaire, 11 (1994), pp. 297-311. Zbl0836.35092MR1277897
8. [BV6] H. Beirão Da Veiga, On the singular limit for slightly compressible fluids, Calculus of Variations and P.D.E., 2 (1994), pp. 205-218. Zbl0805.35009MR1385526
9. [BV7] H. Beirão Da Veiga, Singular limits in compressible fluid dynamics, Arch. Rat. Mech. Analysis, 128 (1994), pp. 313-327. Zbl0829.76073MR1308856
10. [Eb1] D.G. Ebin, The motion of slightly compressible fluids viewed as motion with a strong constraining force, Ann. Math., 105 (1977), pp. 141-200. Zbl0373.76007MR431261
11. [Eb2] D.G. Ebin, Motion of slightly compressible fluids in a bounded domain, Comm. Pure Appl. Math., 35 (1982), pp. 451-485. Zbl0478.76011MR657824
12. [Ga] E. Gagliardo, Ulteriori proprietà di alcune classi di funzioni in più variabili, Ricerche Mat., 8 (1959), pp. 24-51. Zbl0199.44701MR109295
13. [KM1] S. Klainerman - A. Majda, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math., 34 (1981), pp. 481-524. Zbl0476.76068MR615627
14. [KM2] S. Klainerman - A. Majda, Compressible and incompressible fluids, Comm. Pure Appl. Math., 35 (1982), pp. 629-653. Zbl0478.76091MR668409
15. [M] A. Majda, Compressible fluid flow and systems of conservation laws in several space dimensions, Springer-VerlagAppl. Math. Sci., # 53, New York (1984). Zbl0537.76001
16. [Ni] L. Nirenberg, On Elliptic partial differential equations, Ann. Sc. Norm. Sup. Pisa, 13 (1959), pp. 115-162. Zbl0088.07601MR109940
17. [Sc1] S. Schochet, The compressible Euler equation in a bounded domain: Existence of solutions and the incompressible limit, Comm. Math. Phys., 104 (1986), pp. 49-75. Zbl0612.76082MR834481
18. [Sc2] S. Schochet, Singular limits in bounded domains for quasi-linear symmetric hyperbolic systems having a vorticity equation, J. Diff. E q., 68 (1987), pp. 400-428. Zbl0633.35047MR891336
19. [Sc3] S. Schochet, Symmetric hyperbolic systems with a large parameter, Comm. Part. Diff. Eq., 12 (1987), pp. 1627-1651. Zbl0651.35047MR871107
20. [U] S. Ukai, The incompressible limit and the initial layer of the incompressible Euler equation, J. Math. Kyoto Univ., 26 (1986), pp. 323-331. Zbl0618.76074MR849223