文献类型：期刊文献

英文题名：THE UNIQUE GLOBAL SOLVABILITY OF MULTI-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES-POISSON-KORTEWEG MODEL

作者：Xu, Fuyi[1];Li, Yeping[2]

机构：[1]Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2020

卷号：18

期号：8

起止页码：2169

外文期刊名：COMMUNICATIONS IN MATHEMATICAL SCIENCES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000601322100004)】；

基金：We are grateful to two anonymous referees for valuable comments, which greatly improved our original manuscript. Fuyi Xu is partially supported by the National Natural Science Foundation of China (11501332,11771043,51976112), the Natural Science Foundation of Shandong Province (ZR2015AL007), and Young Scholars Research Fund of Shandong University of Technology. Yeping Li is partially supported by the National Natural Science Foundation of China (11671134).

语种：英文

外文关键词：unique global solvability; highly oscillating velocity; compressible Navier-Stokes-Poisson-Korteweg model; critical Besov spaces

摘要：The present paper is dedicated to the study of the Cauchy problem for compressible Navier-Stokes-Poisson-Korteweg model in any dimension d >= 2, which simultaneously involves the lower order potential term and the higher order capillarity term. The unique global solvability of the system is obtained when the initial data are close to a stable equilibrium state in a functional setting invariant by the scaling of the associated equations. In particular, one may construct the unique global solution for a class of large highly oscillating initial velocities in physical dimensions d= 2,3.