Local and global existence for the coupled Navier-Stokes-Poisson problem

Local and global existence for the coupled Navier-Stokes-Poisson problem
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DOI:
10.1090/qam/1976375
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发表时间:
2003-06
影响因子:
0.8
通讯作者:
D. Donatelli
D. Donatelli
中科院分区:
数学4区
文献类型:
--
作者:
D. Donatelli

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在本文中,我们研究耦合纳维斯托克斯-泊松方程的柯西问题。利用泊松方程推导的一些紧致性质证明了Sobolev框架中弱解的全局存在性。
In this paper we investigate the Cauchy Problem for coupled NavierStokes-Poisson equation. The global existence of weak solutions in Sobolev framework is proved by using some compactification properties deduced from the Poisson equation.