Euler-Poisson equations related to general compressible rotating fluids
Author(s) -
Haigang Li,
Jiguang Bao
Publication year - 2010
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2011.29.1085
Subject(s) - euler equations , compressibility , euler's formula , poisson distribution , point (geometry) , compact space , angular momentum , physics , mathematical analysis , classical mechanics , mathematics , mechanics , geometry , statistics
This paper is mainly concerned with Euler-Poisson equations mod-eling Newtonian stars. We establish the existence of rotating star solutions for general compressible uids with prescribed angular velocity law, which is the main point distinguished with the case with prescribed angular momentum per unit mass. The compactness of any minimizing sequence is established, which is important from the stability point of view.
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