稳态(化学)
泊松分布
兴奋剂
压缩性
摄动(天文学)
数学分析
纳维-斯托克斯方程组
物理
数学
泊松方程
理论(学习稳定性)
机械
凝聚态物理
量子力学
化学
计算机科学
统计
机器学习
物理化学
作者
Zhong Tan,Yanjin Wang,Yong Wang
出处
期刊:Cornell University - arXiv
日期:2015-06-06
摘要
We consider the stability of the steady state of the compressible Navier-Stokes-Poisson equations with the non-flat doping profile. We prove the global existence of classical solutions near the steady state for the large doping profile. For the small doping profile, we prove the time decay rates of the solution provided that the initial perturbation belongs to $L^p$ with $1\le p< 3/2$.
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