Global existence and time decay rates for the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities

作     者：Guochun Wu Yinghui Zhang Anzhen Zhang Guochun Wu;Yinghui Zhang;Anzhen Zhang

作者机构：School of Mathematical SciencesHuaqiao UniversityQuanzhou362021China School of Mathematics and StatisticsGuangxi Normal UniversityGuilin541004China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第4期

页      面：731-752页

核心收录：

学科分类：07[理学] 070204[理学-等离子体物理] 0702[理学-物理学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11701193 and 11671086) Natural Science Foundation of Fujian Province(Grant No.2018J05005) the Scientific Research Funds of Huaqiao University(Grant No.16BS507) supported by Guangxi Natural Science Foundation(Grant No.2019JJG110003) Guangxi Science and Technology Plan Project(Grant No.2019AC20214) National Natural Science Foundation of China(Grant Nos.11771150,11571280,11301172 and 11226170) 

主　　题：bipolar Navier-Stokes-Poisson global existence optimal decay rates 

摘      要：We consider the Cauchy problem for the three-dimensional bipolar compressible Navier-Stokes-Poisson system with unequal *** the assumption that the H_(3) norm of the initial data is small but its higher order derivatives can be arbitrarily large,the global existence and uniqueness of smooth solutions are obtained by an ingenious energy ***,if additionally,the H^(−s)(1/2≤s3/2)or B^(−s)_(2,∞)(1/2s≤3/2)norm of the initial data is small,the optimal decay rates of solutions are also established by a regularity interpolation trick and delicate energy methods.