Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation

In this article, the Moore-Gibson-Thompson heat equation in three-dimensional cylindrical domain are studied. Using a second order differential inequality, we obtain that the solution can decay exponentially as the distance from the entry section tends to infinity. Our result can be seen as a version of Saint-Venant principle.

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Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2024-10-01
DOI
https://doi.org/10.1051/wujns/2024295397
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
Field-Weighted Citation Impact
0.00

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article

Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation

Jincheng Shi
Wuhan University Journal of Natural Sciences
Thermoelastic and Magnetoelastic Phenomena
article

Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation

Jincheng Shi
article en

Abstract

In this article, the Moore-Gibson-Thompson heat equation in three-dimensional cylindrical domain are studied. Using a second order differential inequality, we obtain that the solution can decay exponentially as the distance from the entry section tends to infinity. Our result can be seen as a version of Saint-Venant principle.

Wuhan University Journal of Natural SciencesVol. 29(5)
Guangdong University Of Finances and Economics (CN)
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 77%
Thermoelastic and Magnetoelastic Phenomena
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Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation — Jincheng Shi · Wuhan University Journal of Natural Sciences (2024) | TGRS Research Map | TGRS