Moore-Gibson-Thompson equation with memory, part II: General decay of energy
Moore-Gibson-Thompson equation with memory, part II: General decay of energy
复制标题
DOI：
10.1016/j.jde.2015.08.052
复制
发表时间：
2015-12-15
影响因子：
2.4
通讯作者：
Wang, Xiaojun
中科院分区：
文献类型：
--
作者：
Lasiecka, Irena;Wang, Xiaojun
研究了一类带记忆项的时间三阶（Moore-Gibson-Thompson）方程.以前人们知道，在非临界状态下，整体解存在，能量泛函衰减到零。更确切地说，已知如果记忆核指数衰减，则能量具有指数衰减。目前的工作是前一个（第一部分）的推广，因为它允许内存内核更一般，并表明能量衰减的方式与内存内核一样，指数或不。(C)2015 Elsevier Inc. All rights reserved.
We study a temporally third order (Moore-Gibson-Thompson) equation with a memory term. Previously it was known that, in non-critical regime, the global solutions exist and the energy functionals decay to zero. More precisely, it is known that the energy has exponential decay if the memory kernel decays exponentially. The current work is a generalization of the previous one (Part I) in that it allows the memory kernel to be more general and shows that the energy decays the same way as the memory kernel does, exponentially or not. (C) 2015 Elsevier Inc. All rights reserved.