Spatial Decay Estimates for a Class of Thermoelastic Plates

Jincheng Shi and Naiqiao Qing

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-12

Abstract: This study investigates the spatial characteristics of solutions for a class of thermoelastic plates governed by biharmonic operators within a semi-infinite strip in two-dimensional Euclidean space R2. The research begins with the derivation of an energy functional. Subsequently, by applying an energy method, an integral-differential inequality is established, allowing effective control of the energy functional through its first-order derivative. Finally, spatial decay estimates for the solution are derived. This result extends the Saint-Venant principle to hyperbolic–parabolic coupled biharmonic systems.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5564117

DOI: 10.1155/ijmm/5564117

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