文献类型：期刊文献

英文题名：STABILITY AND Lp CONVERGENCE RATES OF PLANAR DIFFUSION WAVES FOR THREE-DIMENSIONAL BIPOLAR EULER-POISSON SYSTEMS

作者：Li, Yeping[1];Liao, Jie[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2019

卷号：18

期号：3

起止页码：1281

外文期刊名：COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000456780600013)】；

基金：The research is partially supported by NSFC grants 11671134 and 11871335.

语种：英文

外文关键词：Bipolar Euler-Poisson system; planar diffusion wave; approximate Green function; energy estimates

摘要：In the paper, we consider a three-dimensional bipolar hydrodynamic model from semiconductor devices and plasmas. This system takes the form of Euler-Poisson with electric field and relaxation term added to the momentum equations. We first construct the planar diffusion waves. Next we show the global existence of smooth solutions for the initial value problem of three-dimensional bipolar Euler-Poisson systems when the initial data are near the planar diffusive waves. Finally, we also establish the L-p(p is an element of [2, +infinity]) convergence rates of the solutions toward the planar diffusion waves. A frequency decomposition, approximate Green function and delicate energy method are used to prove our results.