Global nonexistence of solutions to system of Klein-Gordon equations with degenerate damping and strong source terms in viscoelasticity

Authors

  • Fares YAZID Department of Mathematics, Ferhat Abbas Setif 1 University, Setif, Algeria, e-mail: fsmmath@yahoo.com
  • Djamel OUCHENANE Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat, Algeria, e-mail: ouchenanedjamel@gmail.com
  • Khaled ZENNIR Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Buraydah, Kingdom of Saudi Arabia, e-mail: k.zennir@qu.edu.sa https://orcid.org/0000-0002-7895-4168

DOI:

https://doi.org/10.24193/subbmath.2022.3.08

Keywords:

Global nonexistence, nonlinear viscoelastic wave equations, positive initial energy, concavity method.

Abstract

In this paper, we consider a system of nonlinear viscoelastic wave equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solution by concavity method.

Mathematics Subject Classification (2010): 35L70, 35B40, 93D20.

Received 5 November 2019; Accepted 18 March 2020.

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Published

2022-09-20

How to Cite

YAZID, F., OUCHENANE, D., & ZENNIR, K. (2022). Global nonexistence of solutions to system of Klein-Gordon equations with degenerate damping and strong source terms in viscoelasticity. Studia Universitatis Babeș-Bolyai Mathematica, 67(3), 563–578. https://doi.org/10.24193/subbmath.2022.3.08

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