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Gerhard Ströhmer

Asymptotic estimates for a semigroup related to compressible viscous fluid flow

Keywords: compressible viscous flows, linear stability, astrophysical flows, analytic semigroups

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 t→∞.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 27, 01/2007
Pages: 035 - 060

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