Spatial Decay Estimates for a Class of Thermoelastic Plates

SHI Jincheng

doi:10.21656/1000-0887.420005

Volume 43 Issue 1

Jan. 2022

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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

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

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Spatial Decay Estimates for a Class of Thermoelastic Plates

doi: 10.21656/1000-0887.420005

SHI Jincheng

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

Received Date: 2021-01-07
Rev Recd Date: 2021-03-03

Available Online: 2021-11-15

Publish Date: 2022-01-01

Abstract

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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References(16)

References

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