Ⅲ型热弹性方程的空间二择性及稳定性

李远飞; 肖胜中; 陈雪姣

doi:10.21656/1000-0887.410270

Ⅲ型热弹性方程的空间二择性及稳定性

doi: 10.21656/1000-0887.410270

¹广东财经大学华商学院应用数学系, 广州 511300
²广东农工商职业技术学院, 广州 510507

基金项目: 广东省普通高校重点项目(自然科学)(2019KZDXM042)

详细信息

作者简介:
李远飞(1982—), 男, 特聘教授, 博士(通讯作者. E-mail: liqfd@163.com).

中图分类号: O178
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- 被引次数: 0
出版历程
- 收稿日期: 2020-09-11
- 修回日期: 2020-11-25
- 刊出日期: 2021-04-01

Spatial Alternative and Stability of Type Ⅲ Thermoelastic Equations

¹Department of Applied Mathematics, Huashang College, Guangdong University of Finance & Economics, Guangzhou 511300, P.R.China
²Guangdong AIB Polytechnic, Guangzhou 510507, P.R.China

摘要

摘要: 考虑了弹性力学中常见的Ⅲ型热弹性方程在一个半无限区域上的空间二择性.假设方程满足一定的初边值条件, 利用能量分析法, 分别证明了解在一个半无穷柱体上随空间变量要么指数式衰减要么指数式增长.在解的二择性基础上, 建立了解对方程组系数的连续依赖性.
- 弹性方程 /
- 二择一 /
- 空间衰减 /
- 结构稳定性
Abstract: The spatial alternative of type Ⅲ thermoelastic equations in a semi-infinite region was considered. The equations were assumed to satisfy certain initial and boundary conditions, and the solution was proved to grow exponentially or alternatively decay exponentially respectively, with spatial variables on a semi-infinite cylinder with the energy analysis method. The continuous dependence of solutions on the coefficients of equations was established.
- thermoelastic equation /
- alternative /
- spatial decay /
- structural stability

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参考文献(22)

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