LOCAL CLASSICAL SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES-SMOLUCHOWSKI EQUATIONS WITH VACUUM

被引：22

作者：

Huang, Bingyuan ^{[1
,2
]}

Ding, Shijin ^{[1
]}

Wen, Huanyao ^{[3
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Hanshan Normal Univ, Coll Math & Stat, Chaozhou 521041, Peoples R China

[3] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Classical solution; compressible Navier-Stokes-Smoluchowski equations; vacuum; NONNEGATIVE INITIAL DENSITIES; LIQUID-CRYSTALS; HYDRODYNAMIC FLOW; FLUIDS;

D O I：

10.3934/dcdss.2016072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem for compressible Navier-Stokes-Smoluchowski equations with vacuum in R-3. We prove both existence and uniqueness of the local strong solution, and then obtain a local classical solution by deriving the smoothing effect of the strong solution for t > 0.

引用

页码：1717 / 1752

页数：36

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