Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow

Gerhard Ströhmer. "Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow." Studia Mathematica 185.2 (2008): 99-125. <http://eudml.org/doc/285352>.

@article{GerhardStröhmer2008,
abstract = {We prove a priori estimates for a linear system of partial differential equations originating from the equations for the flow of a barotropic compressible viscous fluid under the influence of the gravity it generates. These estimates will be used in a forthcoming paper to prove the nonlinear stability of the motionless, spherically symmetric equilibrium states of barotropic, self-gravitating viscous fluids with respect to perturbations of zero total angular momentum. These equilibrium states as well as the non-stationary solutions occupy part of space, and a constant pressure is assumed on the free surface, but no surface tension.},
author = {Gerhard Ströhmer},
journal = {Studia Mathematica},
keywords = {compressible viscous flows; stability; astrophysical flows; gas balls},
language = {eng},
number = {2},
pages = {99-125},
title = {Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow},
url = {http://eudml.org/doc/285352},
volume = {185},
year = {2008},
}

TY - JOUR
AU - Gerhard Ströhmer
TI - Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow
JO - Studia Mathematica
PY - 2008
VL - 185
IS - 2
SP - 99
EP - 125
AB - We prove a priori estimates for a linear system of partial differential equations originating from the equations for the flow of a barotropic compressible viscous fluid under the influence of the gravity it generates. These estimates will be used in a forthcoming paper to prove the nonlinear stability of the motionless, spherically symmetric equilibrium states of barotropic, self-gravitating viscous fluids with respect to perturbations of zero total angular momentum. These equilibrium states as well as the non-stationary solutions occupy part of space, and a constant pressure is assumed on the free surface, but no surface tension.
LA - eng
KW - compressible viscous flows; stability; astrophysical flows; gas balls
UR - http://eudml.org/doc/285352
ER -