THE 3D COMPRESSIBLE VISCOELASTIC FLUID IN A BOUNDED DOMAIN

被引：7

作者：

Chen, Qing ^{[1
]}

Wu, Guochun ^{[2
]}

机构：

[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Fujian, Peoples R China

[2] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2018年 / 16卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Viscoelastic fluid; global existence; bounded domain; exponential convergence rates; GLOBAL EXISTENCE; WELL-POSEDNESS; CRITICAL SPACES; DECAY-RATES; TIME-DECAY; EQUATIONS; SYSTEM; FLOWS; MODEL;

D O I：

10.4310/CMS.2018.v16.n5.a6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the global existence and uniqueness of strong solution for the 3D compressible viscoelastic fluid in a bounded domain under the condition that the initial data are close to the constant equilibrium state. Based on the standard energy estimate, the estimation of the exponential convergence rates of the strong solution is also obtained.

引用

页码：1303 / 1323

页数：21

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