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arXiv · 1406.4255

Two dimensional subsonic flows with self-gravitation in bounded domain

Myoungjean Bae·Ben Duan·Chunjing Xie
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Abstract

We investigate two dimensional steady Euler-Poisson system which describe 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.

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Myoungjean Bae, Ben Duan, Chunjing Xie. 2014-06-17. Two dimensional subsonic flows with self-gravitation in bounded domain. https://arxiv.org/abs/1406.4255

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