Existence of global smooth solution to initial boundary value problem for a viscoelastic model with relaxation

被引：0

作者：

Ruan, LZ ^{[1
]}

Zhu, CJ

机构：

[1] Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China

[2] S Cent Univ Nationalities, Dept Appl Math, Wuhan 430074, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2004年 / 24卷 / 02期

关键词：

viscoelastic model; relaxation; a priori estimates; maximum principle;

D O I：

10.1016/S0252-9602(17)30383-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the initial boundary value problem for a viscoelastic model with relaxation. Under the only assumption that the C-0-norm of the initial data is small, without smallness hypothesis for the C-1-norm, the existence of the global smooth solution to the corresponding initial boundary value problem is proved. The analysis is based on some a priori estimates obtained by the "maximum principle" of first-order quasilinear hyperbolic system.

引用

页码：265 / 274

页数：10

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