Global Well-posedness of Compressible Bipolar Navier-Stokes-Poisson Equations

We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the initial data close to an equilibrium state.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2012-05, Vol.28 (5), p.925-940
Main Authors: Lin, Yi Quan, Hao, Cheng Chun, Li, Hai Liang
Format: Article
Language:English
Subjects:
Besov空间
Cauchy problems
Charged particles
Fluid flow
Initial value problems
Mathematical analysis
Mathematics
Mathematics and Statistics
Poisson distribution
Poisson方程
Science
Studies
Uniqueness
初始值问题
双极
可压缩
平衡状态
数据显示
适定性
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Description
Summary:We consider the initial value problem for multi-dimensional bipolar compressible Navier- Stokes-Poisson equations, and show the global existence and uniqueness of the strong solution in hybrid Besov spaces with the initial data close to an equilibrium state.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-0238-x