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一类热弹性板的空间衰减估计

石金诚

石金诚. 一类热弹性板的空间衰减估计 [J]. 应用数学和力学,2022,43(1):115-122 doi: 10.21656/1000-0887.420005
引用本文: 石金诚. 一类热弹性板的空间衰减估计 [J]. 应用数学和力学,2022,43(1):115-122 doi: 10.21656/1000-0887.420005
SHI Jincheng. Spatial Decay Estimates for a Class of Thermoelastic Plates[J]. Applied Mathematics and Mechanics, 2022, 43(1): 115-122. doi: 10.21656/1000-0887.420005
Citation: SHI Jincheng. Spatial Decay Estimates for a Class of Thermoelastic Plates[J]. Applied Mathematics and Mechanics, 2022, 43(1): 115-122. 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
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

Spatial Decay Estimates for a Class of Thermoelastic Plates

  • 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。

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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

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