Work

Blowing‐up solutions for the Moore–Gibson–Thompson equation with a viscoelastic memory and an external force

Year: 2024

Type: article

Abstract: The Moore–Gibson–Thompson equation with a viscoelastic memory and a forcing term is considered. The existence and uniqueness of a local solution are obtained via Faedo–Galerkin's method. Furthermore, it is shown that solutions with or without a positive initial energy experience blowing‐up due to the nonlinear forcing term.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10094

Authors: Mokhtar Kirane, Ala Eddine Draifia, Lotfi Jlali

Institutions: Khalifa University of Science and Technology, University Center of Aflou, Amar Telidji University of Laghouat, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,760

Funders: Imam Mohammed Ibn Saud Islamic University, Al-Imam Muhammad Ibn Saud Islamic University