Asymptotic Behavior of Solution to Viscoelasticity Eqution

MO Hai-ping; LIU Ya-cheng

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Asymptotic Behavior of Solution to Viscoelasticity Eqution

更新时间：2026-07-10

- Asymptotic Behavior of Solution to Viscoelasticity Eqution
- Vol. 15, Issue 6, Pages: 71-73(2010)
- 作者机构：
  
  1. 绥化学院数学与信息科学学院
  2. 哈尔滨工程大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.29
- Published：2010
- 稿件说明：
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MO Hai-ping, LIU Ya-cheng. Asymptotic Behavior of Solution to Viscoelasticity Eqution[J]. 2010, 15(6): 71-73.
DOI：

MO Hai-ping, LIU Ya-cheng. Asymptotic Behavior of Solution to Viscoelasticity Eqution[J]. 2010, 15(6): 71-73. DOI：

摘要

研究了粘弹性方程utt=uxxt+σ(ux)x的初边值问题.证明若infσ’(s)0

则当时间t→+∞时

此问题的整体强解依t的指数形式衰减于零.从而补充和完善了有关粘弹性方程的已有结果.

Abstract

In this paper we study the initial-boundary value problem of viscoelasticity equation utt=uxxt+σ′(ux)x.We prove that if inf σ′(s)0

then the global strong solution of this problem decays to zero exponentially as t→+∞.So the known results on viscoelasticity equation is supplemented.

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