文献类型：期刊文献

英文题名：The stationary solution of a one-dimensional bipolar quantum hydrodynamic model

作者：Hu, Jing[1];Li, Yeping[2];Liao, Jie[1]

机构：[1]East China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[2]Nantong Univ, Sch Sci, Nantong 226019, Peoples R China

年份：2021

卷号：493

期号：1

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000576820100012)】；

基金：The authors would like to thank the anonymous referees for their kind suggestions. This research is partially support by National Natural Science Foundation of China (Nos. 11671134, 11871335 and 11971008).

语种：英文

外文关键词：Bipolar quantum hydrodynamic model; Stationary solution; Existence; Uniqueness

摘要：In this paper, we consider the existence and uniqueness of stationary solution to the bipolar quantum hydrodynamic model in one dimensional space with general non constant doping profile. The existence of the stationary solution is proved by LeraySchauder fixed-point theorem and a crucial truncation technique is used to derive the positive upper and lower bounds of the stationary solution. The uniqueness of the stationary solution is shown by a delicate energy estimate. (c) 2020 Elsevier Inc. All rights reserved.