Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source

Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source

This study focused on a coupled nonlinear wave equation system featuring fractional damping and polynomial source terms within a bounded domain. We demonstrated that, under specific conditions, the solutions exhibited blow-up in a finite time-frame.

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Bibliographic Details
Main Authors: Abdelhadi Safsaf, Suleman Alfalqi, Ahmed Bchatnia, Abderrahmane Beniani
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:Electronic Research Archive
Subjects:
wave equation
coupled system
blow-up for solution
caputo's fractional derivative
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024265
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Summary:This study focused on a coupled nonlinear wave equation system featuring fractional damping and polynomial source terms within a bounded domain. We demonstrated that, under specific conditions, the solutions exhibited blow-up in a finite time-frame.
ISSN:2688-1594

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