On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface

Wojciech M. Zajączkowski. On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1993. <http://eudml.org/doc/219354>.

@book{WojciechM1993,
abstract = {We consider the motion of a viscous compressible barotropic fluid in $ℝ^3$ bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.1991 Mathematics Subject Classification: 35A05, 35R35, 76N10.},
author = {Wojciech M. Zajączkowski},
keywords = {free boundary; compressible barotropic viscous fluid; global existence; anisotropic Sobolev spaces; Korn inequality; constant exterior pressure; existence of local-in-time highly regular solutions; existence of global- in-time solutions},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface},
url = {http://eudml.org/doc/219354},
year = {1993},
}

TY - BOOK
AU - Wojciech M. Zajączkowski
TI - On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface
PY - 1993
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - We consider the motion of a viscous compressible barotropic fluid in $ℝ^3$ bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.1991 Mathematics Subject Classification: 35A05, 35R35, 76N10.
LA - eng
KW - free boundary; compressible barotropic viscous fluid; global existence; anisotropic Sobolev spaces; Korn inequality; constant exterior pressure; existence of local-in-time highly regular solutions; existence of global- in-time solutions
UR - http://eudml.org/doc/219354
ER -