GLOBAL EXISTENCE AND DECAY ESTIMATE OF CLASSICAL SOLUTIONS TO THE COMPRESSIBLE VISCOELASTIC FLOWS WITH SELF-GRAVITATING

被引：3

作者：

Wang, Yinxia ^{[1
]}

Zhao, Hengjun ^{[2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Henan, Peoples R China

[2] Henan Univ Engn, Coll Sci, Zhengzhou 451191, Henan, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 02期

关键词：

Compressible viscoelastic flows with self-gravitating; global classical solution; decay rates; LONG-TIME BEHAVIOR; L-P FRAMEWORK; FLUIDS; EQUATION; SYSTEM; RATES;

D O I：

10.3934/cpaa.2018020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial value problem for the compressible viscoelastic flows with self-gravitating in R-n (n >= 3). Global existence and decay rates of classical solutions are established. The corresponding linear equations becomes two similar equations by using Hodge decomposition and then the solutions operator is derived. The proof is mainly based on the decay properties of the solutions operator and energy method. The decay properties of the solutions operator may be derived from the pointwise estimate of the solution operator to two linear wave equations.

引用

页码：347 / 374

页数：28

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