Blow-up study of a nonlinear hyperbolic system with delay

Autor: Mohammad Kafini, Mohammad M. Al-Gharabli, Adel M. Al-Mahdi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100984- (2024)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2024.100984
Popis: This work examines a system of wave equations that feature frictional damping and nonlinear sources. The two equations are affected by constant delay. By demonstrating that there exist solutions with negative initial energy that blow up in a finite amount of time, we prove a blow-up result. Levine’s concavity approach is a basis of the proof. Additionally, by estimating the lower bound, we dominate the blow-up time from below.
Databáze: Directory of Open Access Journals