Mathematics

CLC number: O175.29

Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation

Moore-Gibson-Thompson热方程的空间衰减估计

School of Artificial Intelligence, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China

Received: 26 December 2023

Abstract

In this article, the Moore-Gibson-Thompson heat equation in three-dimensional cylindrical domain are studied. Using a second order differential inequality, we obtain that the solution can decay exponentially as the distance from the entry section tends to infinity. Our result can be seen as a version of Saint-Venant principle.

摘要

本文研究三维柱形区域中的Moore-Gibson-Thompson热方程, 利用二阶微分不等式, 得到当离入口端的距离趋于无穷大时, 方程的解呈指数衰减。该结果可以看成是Saint-Venant原理的一个具体应用。