# On the motion of nonviscous compressible fluids in domains with boundary

Banach Center Publications (1992)

- Volume: 27, Issue: 2, page 447-455
- ISSN: 0137-6934

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topSecchi, Paolo. "On the motion of nonviscous compressible fluids in domains with boundary." Banach Center Publications 27.2 (1992): 447-455. <http://eudml.org/doc/262583>.

@article{Secchi1992,

author = {Secchi, Paolo},

journal = {Banach Center Publications},

keywords = {Euler equations; initial-boundary value problem; quasi-linear symmetric hyperbolic system; solid wall boundary condition},

language = {eng},

number = {2},

pages = {447-455},

title = {On the motion of nonviscous compressible fluids in domains with boundary},

url = {http://eudml.org/doc/262583},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Secchi, Paolo

TI - On the motion of nonviscous compressible fluids in domains with boundary

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 2

SP - 447

EP - 455

LA - eng

KW - Euler equations; initial-boundary value problem; quasi-linear symmetric hyperbolic system; solid wall boundary condition

UR - http://eudml.org/doc/262583

ER -

## References

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- [2] H. Beirão da Veiga, Un théorème d'existence dans la dynamique des fluides compressibles, C. R. Acad. Sci. Paris 289 B (1979), 297-299.
- [3] H. Beirão da Veiga, On the barotropic motion of compressible perfect fluids, Ann. Scuola Norm. Sup. Pisa 8 (1981), 317-351. Zbl0477.76059
- [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. Zbl0503.35052
- [5] D. Ebin, The initial boundary value problem for subsonic fluid motion, Comm. Pure Appl. Math. 32 (1979), 1-19. Zbl0378.76043
- [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. Zbl0343.35056
- [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. Zbl0314.35061
- [10] J. Rauch and F. Massey, Differentiability of solutions to hyperbolic initial-boundary value problems, Trans. Amer. Math. Soc. 189 (1974), 303-318. Zbl0282.35014
- [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. Zbl0612.76082
- [12] P. Secchi, On nonviscous compressible fluids in a time dependent domain, Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear. Zbl0765.35036
- [13] T. Yanagisawa, The initial boundary value problem for the equations of ideal magneto-hydrodynamics, Hokkaido Math. J. 16 (1987), 295-314. Zbl0657.76085

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