Moore-Gibson-Thompson equation with memory, part I: exponential decay of energy
Analysis of PDEs
2016-05-04 v1
Abstract
We are interested in the Moore-Gibson-Thompson(MGT) equation with memory \begin{equation}\nonumber \tau u_{ttt}+ \alpha u_{tt}+c^2\A u+b\A u_t -\int_0^tg(t-s)\A w(s)ds=0. \end{equation} We first classify the memory into three types. Then we study how a memory term creates damping mechanism and how the memory causes energy decay.
Keywords
Cite
@article{arxiv.1505.07523,
title = {Moore-Gibson-Thompson equation with memory, part I: exponential decay of energy},
author = {Irena Lasiecka and Xiaojun Wang},
journal= {arXiv preprint arXiv:1505.07523},
year = {2016}
}
Comments
24 pages