Blow-up study of a nonlinear hyperbolic system with delay
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.
Authors
- Mohammad Kafini (ORCID: https://orcid.org/0000-0002-1515-7751)
- Mohammad M. Al‐Gharabli (ORCID: https://orcid.org/0000-0003-2098-0117)
- Adel M. Al‐Mahdi (ORCID: https://orcid.org/0000-0003-1752-4858)
Institutions
- King Fahd University of Petroleum and Minerals (SA)
Publication Details
- Journal
- Partial Differential Equations in Applied Mathematics
- Published
- 2024-11-23
- DOI
- https://doi.org/10.1016/j.padiff.2024.100984
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- King Fahd University of Petroleum and Minerals