Geodesic
Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow
Gerhard Ströhmer1
1 Department of Mathematics University of Iowa Iowa City, IA 52242, U.S.A.
Studia Mathematica, Tome 185 (2008) no. 2, pp. 99-125

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm185-2-1
Keywords: prove priori estimates linear system partial differential equations originating equations flow barotropic compressible viscous fluid under influence gravity generates these estimates forthcoming paper prove nonlinear stability motionless spherically symmetric equilibrium states barotropic self gravitating viscous fluids respect perturbations zero total angular momentum these equilibrium states non stationary solutions occupy part space constant pressure assumed surface surface tension

Gerhard Ströhmer 1

1 Department of Mathematics University of Iowa Iowa City, IA 52242, U.S.A. 
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Gerhard Ströhmer. Asymptotic estimates for a perturbation of the linearization
 of an equation for compressible viscous fluid flow. Studia Mathematica, Tome 185 (2008) no. 2, pp. 99-125. doi: 10.4064/sm185-2-1

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