Work

Blow-up study of a nonlinear hyperbolic system with delay

Year: 2024

Type: article

Abstract: 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.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100984

Authors: Mohammad Kafini, Mohammad M. Al-Gharabli, Adel M. Al-Mahdi

Institution: King Fahd University of Petroleum and Minerals

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

Funder: King Fahd University of Petroleum and Minerals