Global Weak Solutions to One-Dimensional Compressible Navier-Stokes Equations with Density-Dependent Viscosity Coefficients

被引：1

作者：

Li Wuming ^{[1
]}

Jiu Quansen ^{[2
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China

[2] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 23卷 / 03期

关键词：

Compressible Navier-Stokes equations; weak solutions; global existence;

D O I：

10.4208/jpde.v23.n3.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the global existence of weak solutions of the one-dimensional compressible Navier-stokes equations with density-dependent viscosity. In particular, we assume that the initial density belongs to L-1 and L-infinity, module constant states at x = -infinity and x = +infinity, which may be different. The initial vacuum is permitted in this paper and the results may apply to the one-dimensional Saint-Venant model for shallow water.

引用

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页码：290 / 304

页数：15

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