Existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum and damping

被引：14

作者：

Yuan, Hongjun ^{[1
]}

Li, Huapeng ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Jilin, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 391卷 / 01期

关键词：

Existence and uniqueness; Compressible non-Newtonian fluids; Vacuum and damping; Strong solutions; COMPRESSIBLE EULER EQUATIONS; BOUNDARY VALUE-PROBLEM; SYSTEM; STATES;

D O I：

10.1016/j.jmaa.2012.02.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we proved local existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum and damping in one-dimensional bounded intervals. The main difficulty is due to the strong nonlinearity of the system and initial vacuum. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：223 / 239

页数：17

共 24 条

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