Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Li, Yeping¹  Yang, Xiongfeng² 

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

关键词: Bipolar Euler-Poisson system;    Asymptotic behavior;    Green function;    Smooth solution;    Energy estimates;   

DOI  :  10.1016/j.jde.2011.08.008

来源: Elsevier

【 摘 要 】

In this paper, the global existence of smooth solutions for the three-dimensional bipolar hydrodynamic model is studied when the initial data are close to a constant state. The L(2)-decay rate of the solutions is also obtained. Our approach is based on the detailed analysis of the Green function of the linearized system and the elaborate energy estimates. As far as we known, it is the first result about the existence and L(2)-decay rate of global smooth solutions to the multi-dimensional bipolar hydrodynamic model. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free