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

作　　者：Yuan Yuan 

机构地区：[1]South China Research Center for Applied Mathematics and Interdisciplinary Studies,South China Normal University,Guangzhou 510631,China

出　　处：《Science China Mathematics》2022年第10期2061-2078,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11901208 and 11971009)。

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.

关 键 词：Euler-Poisson rotating gaseous star non-isentropic variational method 

分 类 号：O175[理学—数学]