SPATIAL BEHAVIOUR OF SOLUTIONS OF THE MOORE-GIBSON-THOMPSON EQUATION.

SPATIAL BEHAVIOUR OF SOLUTIONS OF THE MOORE-GIBSON-THOMPSON EQUATION.
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Moore-Gibson-Thompson 方程解的空间行为。

DOI:
10.1007/s00021-021-00629-4
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发表时间:
2021
期刊:
Journal of mathematical fluid mechanics : JMFM
影响因子:
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通讯作者:
Quintanilla,R
Quintanilla,R
中科院分区:
--
文献类型:
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作者:
Ostoja-Starzewski,M;Quintanilla,R

文献摘要

相似文献

本文研究了Moore-Gibson-Thompson方程的空间行为。由于它是一个双曲型方程,我们证明了解不沿沿着某些时空线增长。考虑到耗散的存在,我们表明,解决方案也指数衰减在某些方向上。
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.