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About Nonlinear Stability for Multiple Gas Balls

  • Gerhard StröhmerEmail author
Article

Abstract

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.

Keywords

Nonlinear stability Rotating gas balls Barotropic fluids 

Mathematics Subject Classification

Primary 76E30 Secondary 76E07 35Q30 

Notes

Compliance with Ethical Standards

Conflict of interest

The author declares that he has no conflict of interest.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of IowaIowa CityUS

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