Two-dimensional subsonic flows with self-gravitation in bounded domain
SCIE
SCOPUS
- Title
- Two-dimensional subsonic flows with self-gravitation in bounded domain
- Authors
- Bae, M; Duan, B; Xie, CJ
- Date Issued
- 2015-12-30
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Abstract
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36177
- DOI
- 10.1142/S0218202515500591
- ISSN
- 0218-2025
- Article Type
- Article
- Citation
- MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, vol. 25, no. 14, page. 2721 - 2747, 2015-12-30
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