Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

Yuan Yuan

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arXiv · 1710.02915

Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

Yuan Yuan

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Abstract

This paper proves the existence of variational rotating solutions to the compressible non-isentropic Euler-Poisson equations with prescribed total mass. This extends the result of the isentropic case [Auchmuty and Beals, Arch. Ration. Mech. Anal., 1971] to the non-isentropic case. Compared with the previous result of variational rotating solutions in non-isentropic case [Wu, Journal of Differential Equations, 2015], to keep the constraint of a prescribed finite total mass, the author establishes a new variational structure the non-isentropic Euler-Poisson equations.

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Yuan Yuan. 2021-03-06. Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass. https://arxiv.org/abs/1710.02915

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