Structural Stability on the Boundary Coefficient of the Thermoelastic Equations of Type III

Xuejiao Chen and Yuanfei Li
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Xuejiao Chen: School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China
Yuanfei Li: School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China

Mathematics, 2022, vol. 10, issue 3, 1-18

Abstract: This paper investigates the spatial behavior of the solutions of thermoelastic equations of type III in a semi-infinite cylinder by using the partial differential inequalities. By setting an arbitrary positive constant in the energy expression, the fast decay rate of the solutions is obtained. Based on the results of decay, the continuous dependence and the convergence results on the boundary coefficient are established by using the differential inequality technique and the energy analysis method. The main work of this paper is to extend the study of continuous dependence to a semi-infinite cylinder, which can be used as a reference for the study of other types of partial differential equations.

Keywords: spatial decay estimates; thermoelastic equations of type III; structural stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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