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

Moore-Gibson-Thompson热方程的空间衰减估计

作　　者：SHI Jincheng 石金诚(广州华商学院人工智能学院,广东广州511300)

机构地区：[1]School of Artificial Intelligence,Guangzhou Huashang College,Guangzhou 511300,Guangdong,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第5期397-402,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (11371175);the Research Team of Guangzhou Huashang College(2021HSKT01);Guangzhou Huashang College Mentorship Program(2020HSDS16)。

摘　　要：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.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。

关 键 词：decay estimates Moore-Gibson-Thompson heat equation Saint-Venant principle 

分 类 号：O175.29[理学—数学]