Well-posedness and exponential decay for the Moore-Gibson-Thompson equation with time-dependent memory kernel

被引：2
|
作者：
Tu, Zhiyu [1 ]
Liu, Wenjun [1 ,2 ,3 ,4 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Ctr Appl Math Jiangsu Prov, Nanjing, Peoples R China
[3] Nanjing Univ Informat Sci & Technol, Jiangsu Int Joint Lab Syst Modeling & Data Anal, Nanjing, Peoples R China
[4] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
基金：
中国国家自然科学基金;
关键词：
exponential decay; Moore-Gibson-Thompson equation; time-dependent memory; well-posedness; GENERAL DECAY; VISCOELASTICITY; BEHAVIOR; MODEL;
D O I：
10.1002/mma.9133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are interested in the well-posedness and exponential decay of Moore-Gibson-Thompson equation with memory tau & part;(ttt)u + alpha & part;(tt)u + h(t)(0)Au + bA & part;(t)u -integral(infinity)(0) h ' t(s)Au(t - s)ds = 0.Here, the main feature is that the memory kernel h(t)(middot) depends on time. By using the linear semigroup theory, we prove that the above system is global well-posedness. In addition, the exponential decay of the related energy is shown to occur, provided that the memory kernel is controlled by a negative exponential.
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页码：10465 / 10479
页数：15
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