具有局部阻尼的热弹性问题的渐近行为和指数稳定性

高洪俊; 赵玉娟

具有局部阻尼的热弹性问题的渐近行为和指数稳定性

高洪俊¹,
赵玉娟²

1.
南京师范大学数学与计算机科学学院,南京 210097;2.南京理工大学紫金学院,南京 210094

基金项目: 国家自然科学基金资助项目(10571087);教育部博士点专项基金资助项目(20050319001);江苏省教育厅自然科学基金资助项目(05KJB110063)

详细信息

作者简介:
高洪俊(1966- ),男,江苏金坛人,教授,博士(联系人.E-mail:gaohj@njnu.edu.cn).

中图分类号: O175.24；O175.8
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- 被引次数: 0
出版历程
- 收稿日期: 2005-06-28
- 修回日期: 2006-06-12
- 刊出日期: 2006-11-15

Asymptotic Behaviour and Exponential Stability for a Thermoelastic Problem With Localized Damping

GAO Hong-jun¹,
ZHAO Yu-juan²

1.
Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China;

摘要

摘要: 一个关于具有局部阻尼的半线性热弹性问题,是材料科学中最重要的数学模型之一．这个问题的解的存在性和齐次问题解的指数衰竭于零的性质被得到了．进而，也得到了对非齐次问题吸收集的存在性．结果显示了所研究的系统是渐近稳定的．
- 热弹性 /
- 指数衰竭 /
- 渐近行为 /
- 吸收集
Abstract: A semi-linear thermoelastic problem with localized damping is considered,which is one of the most important mathematical models in material science.The existence and decays exponentially to zero of solution of this problem were obtained.Moreover,the existence of absorbing sets was achieved in the non-homogeneous case.The result indicates that the system which we studied here is asymptotic stability.
- thermoelasticity /
- exponential decay /
- asymptotic behaviour /
- absorbing set

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参考文献(10)

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