Global Strong Solutions of the Cauchy Problem for 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity

被引：0

作者：

Liu, Sheng-quan ^{[1
,2
]}

Zhao, Jun-ning ^{[2
]}

机构：

[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2017年 / 33卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; global strong solution; density-dependent viscosity; DISCONTINUOUS INITIAL DATA; BOUNDARY-VALUE-PROBLEMS; VACUUM; EXISTENCE; FLUIDS; MOTION; FLOW; 1-D;

D O I：

10.1007/s10255-016-0631-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for one-dimensional compressible isentropic Navier-Stokes equations with density-dependent viscosity mu(rho) = A rho(alpha), where alpha > 0 and A > 0. The global existence of strong solutions is obtained, which improves the previous results by enlarging the interval of a. Moreover, our result shows that no vacuum is developed in a finite time provided the initial data does not contain vacuum.

引用

页码：25 / 34

页数：10

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