一类热弹性板的空间衰减估计

石金诚

doi:10.21656/1000-0887.420005

一类热弹性板的空间衰减估计

doi: 10.21656/1000-0887.420005

石金诚

广州华商学院数据科学学院，广州 511300

基金项目: 国家自然科学基金（11371175）；广东普通高校重点科研项目（自然科学）（2019KZDXM042）

详细信息

作者简介:
石金诚（1983—），男，讲师，硕士（E-mail： hning0818@163.com）

中图分类号: O175.29
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- 被引次数: 0
出版历程
- 收稿日期: 2021-01-07
- 修回日期: 2021-03-03
- 网络出版日期: 2021-11-15
- 刊出日期: 2022-01-01

Spatial Decay Estimates for a Class of Thermoelastic Plates

SHI Jincheng

School of Data Science, Guangzhou Huashang College, Guangzhou 511300, P.R.China

摘要

摘要:
研究了二维空间中半无限带形区域上一类含有双调和算子的热弹性系统板解的空间性质。首先构造一个能量表达式，然后利用微分不等式技术，推导出该能量表达式是可由它本身的一阶导数控制的微分不等式，最后得到解的空间衰减估计。该结果可看成是Saint-Venant原则在双曲抛物耦合双调和方程组上的应用。
- 弹性板 /
- 空间衰减 /
- Saint-Venant原则 /
- 双调和方程
Abstract:
The spatial properties of solutions for a class of thermoelastic plates with biharmonic operators were studied in a semi-infinite strip in R². Firstly, an energy expression was constructed. Then, by means of the differential inequality technique, a differential inequality whose energy expression can be controlled with its 1st derivative was derived. Finally, the spatial decay estimates of the solution were obtained. The result can be regarded as an application of the Saint-Venant principle to hyperbolic parabolic coupled biharmonic equations.
- elastic plate /
- spatial decay /
- Saint-Venant principle /
- biharmonic equation

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参考文献(16)

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