@article{RSMUP_1984__71__73_0, author = {Secchi, Paolo}, title = {Existence theorems for compressible viscous fluids having zero shear viscosity}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {73--102}, publisher = {Seminario Matematico of the University of Padua}, volume = {71}, year = {1984}, mrnumber = {769429}, zbl = {0563.76067}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1984__71__73_0/} }
TY - JOUR AU - Secchi, Paolo TI - Existence theorems for compressible viscous fluids having zero shear viscosity JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1984 SP - 73 EP - 102 VL - 71 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1984__71__73_0/ LA - en ID - RSMUP_1984__71__73_0 ER -
%0 Journal Article %A Secchi, Paolo %T Existence theorems for compressible viscous fluids having zero shear viscosity %J Rendiconti del Seminario Matematico della Università di Padova %D 1984 %P 73-102 %V 71 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1984__71__73_0/ %G en %F RSMUP_1984__71__73_0
Secchi, Paolo. Existence theorems for compressible viscous fluids having zero shear viscosity. Rendiconti del Seminario Matematico della Università di Padova, Tome 71 (1984), pp. 73-102. http://archive.numdam.org/item/RSMUP_1984__71__73_0/
[1] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions Il, Comm. Pure Appl. Math., 17 (1964), pp. 35-92. | MR | Zbl
- - ,[2] On the barotropic motion of compressible perfect fluids, Ann. Sc. Norm. Sup. Pisa, 8 (1981), pp. 317-351. | EuDML | Numdam | MR | Zbl
,[3] On the Euler equations for nonhomogeneous fluids (I), preprint Univ. Trento. | Zbl
- ,[4] Remarks on the Euler equations, J. Funct. Anal., 15 (1974), pp. 341-363. | MR | Zbl
- ,[5] The mathematical theory of non-uniform gases, third ed., Cambridge, 1970. | Zbl
- ,[6] Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation, Ann. Sc. Norm. Sup. Pisa, 5 (1978), pp. 29-63. | EuDML | Numdam | MR | Zbl
- ,[7] On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluids, Kodai Math. Sem. Rep., 23 (1971), 60-120. | MR | Zbl
,[8] Linear and quasi-linear equations of evolution of hyperbolic type, Corso CIME on « Hyperbolicity » (1976), pp. 127-191. | Zbl
,[9] Linear and quasi-linear equations of parabolic type, Amer. Math. Soc., Transl. Math. Mono., 23 (1968) (translated from Russian). | MR | Zbl
- - ,[10] Problèmes aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1968. | MR | Zbl
- ,[11] Problèmes aux limites non homogènes et applications, vol. 2, Dunod, Paris, 1968. | MR | Zbl
,[12] The initial value problem for the equations of motion of viscous and heat-conductive gases, J. Math. Kyoto Univ., 20 (1980), pp. 67-104. | MR | Zbl
- ,[13] Le problème de Cauchy pour les équations différentielles d'un fluide général, Boll. Soc. Math. France, 90 (1962), pp. 487-497. | Numdam | MR | Zbl
,[14] A discussion on the first and the second viscosities of fluids, Proc. Roy. Soc. Lond., Ser. A, 226 (1954), pp. 1-69. | MR
(and others),[15] Mathematical principles of classical fluid mechanics, Handbuch der Physik, vol. VIII/1, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959. | MR
,[16] On the uniqueness of compressible fluid motions, Arch. Rat. Mech. Anal., 3 (1959), pp. 271-288. | MR | Zbl
,[17] Solvability of the initial-boundary value problem for the equations of motion of a viscous compressible fluid, J. Soviet Math., 14 (1980), pp. 1120-1133 (previously in Zap-Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 56 (1976), pp. 128-142 [Russian]). | MR | Zbl
,[18] Existence theorems for the equations of motion of a compressible viscous fluid, Ann. Rev. Fluid Mech., 13 (1981), pp. 79-95. | Zbl
- ,[19] On the first initial-boundary value problem of compressible viscous fluid motion, Publ. RIMS, Kyoto Univ., 13 (1977), pp. 193-253. | Zbl
,[20] An existence theorem for compressible viscous fluids, Ann. Mat. Pura App., 130 (1982), pp. 197-213. | MR | Zbl
,[21] A correction to the paper «An existence theorem for compressible viscous fluids », Ann. Mat. Pura Appl., 132 (1982), pp. 399-400. | MR | Zbl
,[22] Uniqueness theorems for compressible viscous fluids, especially when the Stokes relation holds, Boll. Un. Mat. It., Anal. Funz. Appl., 18-C (1981), pp. 317-325. | MR | Zbl
,[23] On the Cauchy problem for composite systems of nonlinear differential equations, Math. USSR Sbornik, 16 (1972), pp. 517-544 (previously in Mat. Sbornik, 87 (1972), pp. 504-528 [Russian]). | MR | Zbl
- ,