Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation

被引：0
作者：
M. Ostoja-Starzewski
R. Quintanilla
机构：
[1] University of Illinois at Urbana-Champaign,Department of Mechanical Science & Engineering
[2] Universitat Politècnica de Catalunya - Departament de Matemàtiques,undefined
来源：
Journal of Mathematical Fluid Mechanics | 2021年 / 23卷
关键词：
Moore-Gibson-Thompson equation; Spatial estimates; Domain of influence; Exponential decay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the solutions also decay exponentially in certain directions.
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