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.

引用

页码：10465 / 10479

页数：15

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