About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain

2012 ◽  
pp. 305-321 ◽  
Author(s):  
Yuko Enomoto ◽  
Yoshihiro Shibata
Keyword(s):  
Fluid Flow ◽  
Viscous Fluid ◽  
Exterior Domain ◽  
Compressible Viscous Fluid ◽  
Viscous Fluid Flow

Asymptotic estimates for a semigroup related to compressible viscous fluid flow

Analysis ◽  
2007 ◽  
Vol 27 (1) ◽  
Author(s):  
Gerhard Ströhmer
Keyword(s):  
Fluid Flow ◽  
Viscous Fluid ◽  
Linear Stability ◽  
Analytic Semigroup ◽  
Spherically Symmetric ◽  
Asymptotic Estimates ◽  
Governing Equations ◽  
Symmetric Equilibrium ◽  
Compressible Viscous Fluid ◽  
Viscous Fluid Flow

The paper is related to the question of stability for the motionless spherically symmetric equilibrium states of viscous, barotropic, self-gravitating fluids. It considers a perturbation of the linearization of the governing equations of this problem, taking a step in the derivation of estimates which will allow us to prove non-linear stability of the equilibria. The perturbed operator, like the linearization considered earlier, generates an analytic semigroup, which allows us to derive asymptotic estimates as

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