Work

Spatial decay estimates for the coupled system of wave-plate type with thermal effect

Year: 2025

Type: article

Abstract: In this article, we investigate the spatial decay estimates for the biharmonic conduction equations within a coupled wave-plate system incorporating thermal effects in a two-dimensional cylindrical domain. Using the method of a second-order differential inequality, we can obtain the spatial decay estimates result for these equations. When the distance tends to infinity, the energy can decay exponentially. This result shows us that the Saint-Venant principle is also valid for the hyperbolic-parabolic coupled system.

Source: AIMS Mathematics

DOI: 10.3934/math.2025016

Authors: Jincheng Shi, Yan Liu

Institutions: Guangzhou Huashang College, Guangdong University of Finance

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: Natural Science Foundation of Guangzhou City, Natural Science Foundation of Guangdong Province