On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid

被引：0

作者：

Fabrizio, Mauro ^{[1
]}

Lazzari, Barbara ^{[1
]}

Nibbi, Roberta ^{[1
]}

机构：

[1] Univ Bologna, Dept Math, I-40126 Bologna, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 10期

关键词：

Asymptotic decay; Viscoelastic fluids; Quasi-static problem; FREE-ENERGIES;

D O I：

10.1016/j.aml.2011.12.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the quasi-static problem for a viscoelastic fluid by means of the concept of minimal state. This implies the use of a different free energy defined in a wider space of data. The existence and uniqueness is proved in this new space and the asymptotic decay for the problem with non vanishing supplies is obtained for a large class of memory kernels, including those presenting an exponential or polynomial decay. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1464 / 1469

页数：6

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