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

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Universite Amar Telidji Laghouat Departement de Mathematiques
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Jlali Lotfi
Imam Muhammad Ibn Saud Islamic University
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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.
01 Oct 2023Submitted to Mathematical Methods in the Applied Sciences
03 Oct 2023Assigned to Editor
03 Oct 2023Submission Checks Completed
31 Oct 2023Reviewer(s) Assigned