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

• Autorzy: Gerhard Ströhmer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 76E20: Stability and instability of geophysical and astrophysical flows
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 2
• Strony: 99-125

Daty

wydano

2008

Twórcy

autor

Gerhard Ströhmer

• Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.A.

Identyfikatory

DOI

10.4064/sm185-2-1