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Blowing-up solutions for the Moore-Gibson-Thompson equation with visco-elastic memory and an external force
  • Mokhtar Kirane,
  • DRAIFIA ALA,
  • Jlali Lotfi
Mokhtar Kirane
Khalifa University

Corresponding Author:[email protected]

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DRAIFIA ALA
Universite Amar Telidji Laghouat Departement de Mathematiques
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Jlali Lotfi
Imam Muhammad Ibn Saud Islamic University
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Abstract

The Moore-Gibson-Thompson equation with a viscoelastic memory and a forcing is considered. The existence and uniqueness of a local solution is obtained via the Faedo-Galerkin's method. Furthermore, blowing-up solutions with or without a positive initial energy exist due to the nonlinear forcing.

Peer review status:UNDER REVIEW

01 Oct 2023Submitted to Mathematical Methods in the Applied Sciences
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03 Oct 2023Submission Checks Completed
03 Oct 2023Assigned to Editor
31 Oct 2023Reviewer(s) Assigned
29 Feb 20241st Revision Received
03 Mar 2024Submission Checks Completed
03 Mar 2024Assigned to Editor
04 Mar 2024Reviewer(s) Assigned
18 Mar 2024Review(s) Completed, Editorial Evaluation Pending