The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity
- Volume: 1, Issue: 4, page 281-284
- ISSN: 1120-6330
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topSalvi, Rodolfo. "The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.4 (1990): 281-284. <http://eudml.org/doc/244333>.
@article{Salvi1990,
abstract = {We prove the existence of a weak solution and of a strong solution (locally in time) of the equations which govern the motion of viscous incompressible non-homogeneous fluids. Then we discuss the decay problem.},
author = {Salvi, Rodolfo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Non-homogeneous fluids; Time dependent domains; Weak solutions; Strong solutions; existence of a weak solution; strong solution; viscous incompressible nonhomogeneous fluids},
language = {eng},
month = {12},
number = {4},
pages = {281-284},
publisher = {Accademia Nazionale dei Lincei},
title = {The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity},
url = {http://eudml.org/doc/244333},
volume = {1},
year = {1990},
}
TY - JOUR
AU - Salvi, Rodolfo
TI - The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/12//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 4
SP - 281
EP - 284
AB - We prove the existence of a weak solution and of a strong solution (locally in time) of the equations which govern the motion of viscous incompressible non-homogeneous fluids. Then we discuss the decay problem.
LA - eng
KW - Non-homogeneous fluids; Time dependent domains; Weak solutions; Strong solutions; existence of a weak solution; strong solution; viscous incompressible nonhomogeneous fluids
UR - http://eudml.org/doc/244333
ER -
References
top- KAZHIKHOV, A. V., Resolution of boundary value problems for non-homogeneous fluids. Dokl. Akad. Nauk., 216, 1974, 1008-1010.
- LADYZENSKAYA, O. A. - SOLONNIKOV, V. A., Unique solvability of an initial boundary value problem for the viscous incompressible non-homogeneous fluids. J. Sov. Math., 9, 1978, 697-749. Zbl0401.76037
- SALVI, R., On the existence of weak solutions of a non-linear mixed problem for non-homogeneous fluids in a time dependent domain. C.M.U.C., 26, 1985, 185-199. Zbl0591.76042MR797303
- SALVI, R., On the Navier-Stokes equations in non-cylindrical domains: On the Existence and Regularity. Math. Z., 199, 1988, 153-170. Zbl0697.76033MR958645DOI10.1007/BF01159649
- SALVI, R., The equations of viscous incompressible non-homogeneous fluid: On the Existence and Regularity. Submitted to J. Australian Math. Soc. Zbl0732.76032
- TREVES, F., Basic linear partial differential equations. Academic Press, New York1975. Zbl0305.35001MR447753
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