About Nonlinear Stability for Multiple Gas Balls
The results presented in this paper are generalizations of earlier work on the nonlinear stability of non-rotating round gas balls in equilibrium with respect to perturbations with zero angular momentum. Here we allow a more general barotropic equation of state for the gas, a non-zero angular momentum of the equilibrium state, and we are considering arbitrary numbers of gas balls. The result requires the same energy stability condition, Condition 2, as in Ströhmer (J Math Fluid Mech 18:71–88, 2016). It is planned to verify the condition in some cases for more than one rotating gas ball later.
KeywordsNonlinear stability Rotating gas balls Barotropic fluids
Mathematics Subject ClassificationPrimary 76E30 Secondary 76E07 35Q30
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Conflict of interest
The author declares that he has no conflict of interest.
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