独特性
泊松分布
欧拉方程
数学分析
常量(计算机编程)
初值问题
压缩性
数学
欧拉公式
空格(标点符号)
静止状态
柯西分布
柯西问题
理论(学习稳定性)
物理
机械
量子力学
计算机科学
统计
机器学习
程序设计语言
操作系统
出处
期刊:Discrete and Continuous Dynamical Systems
[American Institute of Mathematical Sciences]
日期:2017-01-01
卷期号:37 (9): 4677-4696
摘要
In this paper, we study the compressible bipolar Euler-Poisson equations with a non-flat doping profile in three-dimensional space. The existence and uniqueness of the non-constant stationary solutions are established under the smallness assumption on the gradient of the doping profile. Then we show the global existence of smooth solutions to the Cauchy problem near the stationary state provided the $H^3$ norms of the initial density and velocity are small, but the higher derivatives can be arbitrarily large.
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