Spatial decay estimates for a coupled system of wave-plate type

Naiqiao Qing; Jincheng Shi; Yan Liu; Yunfeng Wen; Naiqiao Qing; Jincheng Shi; Yan Liu; Yunfeng Wen

doi:10.3934/era.2025051

Electronic Research Archive

2025, Volume 33, Issue 2: 1144-1159. doi: 10.3934/era.2025051

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Spatial decay estimates for a coupled system of wave-plate type

1.
Department of Applied Mathematics, Guangzhou Huashang College, Guangzhou 511300, China
2.
Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, China

Received: 06 January 2025 Revised: 18 February 2025 Accepted: 19 February 2025 Published: 27 February 2025

In this article, we studied the spatial property for a coupled system of wave-plate type in a two-dimensional cylindrical domain. Using an integral differential inequality, we obtained the spatial decay estimates result that the solution can decay exponentially as the distance from the entry section tended to infinity. The result can be viewed as a version of Saint-Venant principle.
- wave-plate type,
- spatial decay estimates,
- Saint-Venant principle,
- biharmonic equation
Citation: Naiqiao Qing, Jincheng Shi, Yan Liu, Yunfeng Wen. Spatial decay estimates for a coupled system of wave-plate type[J]. Electronic Research Archive, 2025, 33(2): 1144-1159. doi: 10.3934/era.2025051

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Abstract

In this article, we studied the spatial property for a coupled system of wave-plate type in a two-dimensional cylindrical domain. Using an integral differential inequality, we obtained the spatial decay estimates result that the solution can decay exponentially as the distance from the entry section tended to infinity. The result can be viewed as a version of Saint-Venant principle.

References

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