Two-dimensional subsonic flows with self-gravitation in bounded domain

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We investigate two-dimensional steady Euler-Poisson system which describes the motion of compressible self-gravitating flows. The unique existence and stability of subsonic flows in a duct of finite length are obtained when prescribing the entropy at the entrance and the pressure at the exit. After introducing the stream function, the Euler-Poisson system can be decomposed into several transport equations and a second-order nonlinear elliptic system. We discover an energy estimate for the associated elliptic system which is a key ingredient to prove the unique existence and stability of subsonic flow.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2015-12
Language
English
Article Type
Article
Citation

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, v.25, no.14, pp.2721 - 2747

ISSN
0218-2025
DOI
10.1142/S0218202515500591
URI
http://hdl.handle.net/10203/280617
Appears in Collection
MA-Journal Papers(저널논문)
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