Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass
Science China Mathematics(2021)
摘要
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 (see Auchmuty and Beals (1971)) to the non-isentropic case. Compared with the previous result of variational rotating solutions in the non-isentropic case (see Wu (2015)), to keep the constraint of prescribed finite total mass, we establish a new variational structure of the non-isentropic Euler-Poisson equations.
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关键词
Euler-Poisson,rotating gaseous stars,non-isentropic,variational methods
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