Structural stability of a 1D compressible viscoelastic fluid model

被引：9

作者：

Huo, Xiaokai ^{[1
]}

Yong, Wen-An ^{[1
]}

机构：

[1] Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 261卷 / 02期

关键词：

GLOBAL EXISTENCE; HYPERBOLIC SYSTEMS; FLOWS; LIMIT;

D O I：

10.1016/j.jde.2016.03.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with a compressible viscoelastic fluid model proposed by Ottinger. Although the model has a convex entropy, the Hessian matrix of the entropy does not symmetrize the system of first order partial differential equations due to the non-conservative terms in the constitutive equation. We show that the corresponding 1D model is symmetrizable hyperbolic and dissipative and satisfies the Kawashima condition. Based on these, we prove the global existence of smooth solutions near equilibrium and justify the compatibility of the model with the Navier-Stokes equations. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1264 / 1284

页数：21

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