Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass
Analysis of PDEs
2021-03-09 v3
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.
Keywords
Cite
@article{arxiv.1710.02915,
title = {Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass},
author = {Yuan Yuan},
journal= {arXiv preprint arXiv:1710.02915},
year = {2021}
}
Comments
It has been accepted for publication in SCIENCE CHINA Mathematics