Semilinear viscous Moore-Gibson-Thompson equation with the derivative-type nonlinearity: Global existence versus blow-up

Semilinear viscous Moore-Gibson-Thompson equation with the derivative-type nonlinearity: Global existence versus blow-up

In this paper, we study global existence and blow-up of solutions to the viscous Moore-Gibson-Thompson (MGT) equation with the nonlinearity of derivative-type |ut|<sup>p</sup>. We demonstrate global existence of small data solutions if p>1+4/n (n≤6) or p≥2−2/n (n≥7), and blow-up of no...

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Bibliographic Details
Main Authors: Jincheng Shi, Yan Zhang, Zihan Cai, Yan Liu
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
moore-gibson-thompson equation
derivative-type nonlinearity
global existence of small data solution
decay estimate
blow-up
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022015?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022015?viewType=HTML

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