Abstract.
We 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Communicated by H. Amann
The work of the author was in part supported by a grant from the Polish Committee of Scientific Research, number 2 PO3A 002223.
Rights and permissions
About this article
Cite this article
Ströhmer, G. About the Stability of Gas Balls. J. Math. Fluid Mech. 11, 572 (2009). https://doi.org/10.1007/s00021-008-0273-2
Accepted:
Published:
DOI: https://doi.org/10.1007/s00021-008-0273-2