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

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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.

Keywords

wave-plate type / spatial decay estimates / Saint-Venant principle / biharmonic equation

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