On the motion of nonviscous compressible fluids in domains with boundary

• Autorzy: Paolo Secchi
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1992
• Tom: 27
• Numer: 2
• Strony: 447-455

Daty

wydano

1992

Twórcy

autor

Paolo Secchi

• Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Belzoni 7, 35131 Padova, Italy

Bibliografia

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• [3] H. Beirão da Veiga, On the barotropic motion of compressible perfect fluids, Ann. Scuola Norm. Sup. Pisa 8 (1981), 317-351.
• [4] H. Beirão da Veiga, Homogeneous and non-homogeneous boundary value problems for first order linear hyperbolic systems arising in fluid mechanics, Comm. Partial Differential Equations, part I: 7 (1982), 1135-1149, part II: 8 (1983), 407-432.
• [5] D. Ebin, The initial boundary value problem for subsonic fluid motion, Comm. Pure Appl. Math. 32 (1979), 1-19.
• [6] T. Kato, Quasi-linear equations of evolution, with applications to partial differential equations, in: Spectral Theory and Differential Equations, Lecture Notes in Math. 448, Springer, 1975, 25-70.
• [7] T. Kato, The Cauchy problem for quasi-linear symmetric hyperbolic systems, Arch. Rational Mech. Anal. 58 (1975), 181-205.
• [8] L. Landau et E. Lifschitz, Mécanique des fluides, Mir, Moscou 1971.
• [9] A. Majda and S. Osher, Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary, Comm. Pure Appl. Math. 28 (1975), 607-675.
• [10] J. Rauch and F. Massey, Differentiability of solutions to hyperbolic initial-boundary value problems, Trans. Amer. Math. Soc. 189 (1974), 303-318.
• [11] S. Schochet, The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit, Comm. Math. Phys. 104 (1986), 49-75.
• [12] P. Secchi, On nonviscous compressible fluids in a time dependent domain, Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear.
• [13] T. Yanagisawa, The initial boundary value problem for the equations of ideal magneto-hydrodynamics, Hokkaido Math. J. 16 (1987), 295-314.