|
|||||
|
|
| 多维双极Euler-Poisson方程的C~1解的整体存在性(英文) | |
| 引用本文： | 周芳. 多维双极Euler-Poisson方程的C~1解的整体存在性(英文)[J]. 数学杂志, 2012, 32(1): 79-91 |
| 作者姓名： | 周芳 |
| 作者单位： | 咸宁学院数学与统计学院,湖北咸宁,437100 |
| 基金项目： | 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. |
| 关 键 词： | Euler-Poisson方程 双极 经典解 Besov空间 |
GLOBAL EXISTENCE OF C1-SOLUTIONS TO THE MULTIDIMENSIONAL BIPOLAR EULER-POISSON SYSTEM |
|
| ZHOU Fang. GLOBAL EXISTENCE OF C1-SOLUTIONS TO THE MULTIDIMENSIONAL BIPOLAR EULER-POISSON SYSTEM[J]. Journal of Mathematics, 2012, 32(1): 79-91 | |
| Authors: | ZHOU Fang |
| Affiliation: | ZHOU Fang(School of Mathematics and Statistics,Xianning College,Xianning 437100,China) |
| Abstract: | 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. |
| Keywords: | Euler-Poisson system bipolar classical solutions Besov space |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |