On the barotropic motion of compressible perfect fluids
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 8 (1981) no. 2, pp. 317-351.
@article{ASNSP_1981_4_8_2_317_0,
     author = {Beir\~ao Da Veiga, H.},
     title = {On the barotropic motion of compressible perfect fluids},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {317--351},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 8},
     number = {2},
     year = {1981},
     mrnumber = {623940},
     zbl = {0477.76059},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1981_4_8_2_317_0/}
}
TY  - JOUR
AU  - Beirão Da Veiga, H.
TI  - On the barotropic motion of compressible perfect fluids
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1981
SP  - 317
EP  - 351
VL  - 8
IS  - 2
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1981_4_8_2_317_0/
LA  - en
ID  - ASNSP_1981_4_8_2_317_0
ER  - 
%0 Journal Article
%A Beirão Da Veiga, H.
%T On the barotropic motion of compressible perfect fluids
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1981
%P 317-351
%V 8
%N 2
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1981_4_8_2_317_0/
%G en
%F ASNSP_1981_4_8_2_317_0
Beirão Da Veiga, H. On the barotropic motion of compressible perfect fluids. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 8 (1981) no. 2, pp. 317-351. http://www.numdam.org/item/ASNSP_1981_4_8_2_317_0/

[1] H. Beirão Da Veiga, On an Euler type equation in hydrodynamics, Ann. Mat. Pura Appl., 125 (1980), pp. 279-294. | MR | Zbl

[2] H. Beirão Da Veiga, Un théorème d'existence dans la dinamique des fluides compressibles, C. R. Acad. Sci. Paris, 289 (1979), pp. 297-299. | MR

[3] H. Beirão Da Veiga, Recenti risultati sul moto dei fluidi perfetti e compressibili, to appear. | Zbl

[4] D.G. Ebin, The initial boundary value problem for sub-sonic fluid motion, Comm. Pure Appl. Mat., 32 (1979), pp. 1-19. | MR | Zbl

[5] C. Foias - R. Temam, Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation, Ann. Scuola Norm. Sup. Pisa, 5 (1978), pp. 29-63. | Numdam | MR | Zbl

[6] D. Graffi, Il teorema di unicità nella dinamica dei fluidi compressibili, J. Rat. Mech. Analysis, 2 (1953), pp. 99-106. | MR | Zbl

[7] T. Kato, On classical solutions of the two-dimensional non-stationary Euler equation, Arch. Rational Mech. Anal., 25 (1967), pp. 188-200. | MR | Zbl

[8] T. Kato, Quasi-linear equations of evolution, with applications to partial differential equations, Spectral theory and differential equations, Lecture Notes in Mathematics 448, Springer (1975), pp. 25-70. | MR | Zbl

[9] T. Kato, The Cauchy problem for quasi-linear symmetric hyperbolic systems, Arch. Rational Mech. Anal., 58 (1975), pp. 181-205. | MR | Zbl

[10] L. Landau - E. Lifchitz, Mécanique des fluides, éditions MIR, Moscow (1971) (translated from russian).

[11] S. Miyatake, Mixed problems for hyperbolic equation of second order, J. Math. Kyoto Univ., 13 (1973), pp. 435-487. | MR | Zbl

[12] S. Miyatake, Mixed problems for hyperbolic equations of second order with first order complex boundary operators, Japan. J. Math., 1 (1975), pp. 111-158. | MR | Zbl

[13] S. Miyatake, A sharp form of the existence theorem for hyperbolic mixed problems of second order, J. Math. Kyoto Univ., 17 (1977), pp. 199-223. | MR | Zbl

[14] L. Sédov, Mécanique des milieux continus, vol. I, éditions MIR, Moscow(1975) (translated from russian).

[15] J. Serrin, On the uniqueness of compressible fluid motions, Arch. Rational Mech. Anal., 3 (1959), pp. 271-288. | MR | Zbl

[16] J. Serrin, Mathematical principles of classical fluid mechanics, Handbuch der Physik, vol. VIII/1, Springer-Verlag, Berlin-Göttingen -Heidelberg (1959). | MR