Blow-up time bounds for a strongly damped wave equation with PINNs validation

Evolution equations and control theory 2026 Open access

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Authors: Ahmed Bchatnia, Makram Hamouda, Firas Kaabi
DOI: 10.3934/eect.2026049
Cited by: 1
References: 25

Abstract

This work investigates the blow-up behavior of solutions to a strongly damped semilinear wave equation on bounded domains. By imposing specific conditions on the initial data, we derive both lower and upper estimates for the blow-up time as well as the range of the threshold regions for the nonlinear exponents. Furthermore, our theoretical findings are numerically validated using physics-informed neural networks (PINNs).

Fields of Study & Subjects

Model Reduction and Neural Networks Stability and Controllability of Differential Equations Neural Networks Stability and Synchronization

Publication details

Journal / source
Evolution equations and control theory
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
22
Issue
0
Pages
86–105
Publication date
1 January 2026