Local well-posedness to the Cauchy problem of the 2D compressible Navier-Stokes-Smoluchowski equations with vacuum

被引：2

作者：

Liu, Yang ^{[1
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 489卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes-Smoluchowski equations; Strong solutions; Uniqueness; Vacuum; CLASSICAL-SOLUTIONS; SEDIMENTATION; EXISTENCE; BOUNDARY; BEHAVIOR;

D O I：

10.1016/j.jmaa.2020.124154

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the local strong solution to the compressible Navier-Stokes-Smoluchowski equations with vacuum as far field density on the whole space R-2 without additional Cho-Choe-Kim type compatibility conditions, which provided the initial density and the initial particles density decay not too slow at infinity. In particular, we extend the results of Ding et al. (2016) [13] and Yang (2020) [21] to the 2D case. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：24

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