Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Karman shallow shell system

被引：33

作者：

Li, Fushan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 06期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Viscoelastic; Shallow shell; Plate; UNIFORM DECAY-RATES; BOUNDARY FEEDBACK; EQUATIONS; STABILIZATION; PLATE; DISSIPATION; MEMORY;

D O I：

10.1016/j.jde.2010.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the nonlinear full Marguerre-von Karman shallow shell system with a dissipative mechanism of memory type. The model depends on one small parameter. The main purpose of this paper is to show that as the parameter approaches zero, the limiting system is the well-known full von Karman model with memory for thin plates. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1241 / 1257

页数：17

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