多维双极Euler-Poisson方程的C^1解的整体存在性(英文)  

GLOBAL EXISTENCE OF C^1-SOLUTIONS TO THE MULTIDIMENSIONAL BIPOLAR EULER-POISSON SYSTEM

作　　者：周芳[1] 

机构地区：[1]咸宁学院数学与统计学院,湖北咸宁437100

出　　处：《数学杂志》2012年第1期79-91,共13页Journal of Mathematics

基　　金：Supported by the National Science Foundation of China (11171223)

摘　　要：本文研究了出现在半导体器件或者等离子中的多维双极Euler-Poisson方程,证明了它的初值问题的C1解在Besov空间的整体存在性,同时也得到了在二维和三维情形下,速度的璇度以指数的速率收敛到零.In this paper,we study a multi-dimensional bipolar Euler-Poisson system（hydrodynamic model） from semiconductor devices or plasmas.Using Littlewood-Paley analysis and energy estimates,we obtain the global well-posedness of classical solutions to the initial value problems in Besov space.Moreover,we also prove that the vorticitics of velocities converge to zero exponentially in the 2D and 3D spaces.

关 键 词：EULER-POISSON方程 双极 经典解 BESOV空间 

分 类 号：O175.27[理学—数学]