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Existence, blow up and growth of solutions for a coupled quasi-linear viscoelastic Petrovsky equations with degenerate damping terms
Journal article   Peer reviewed

Existence, blow up and growth of solutions for a coupled quasi-linear viscoelastic Petrovsky equations with degenerate damping terms

Fatma Ekinci, Erhan Piskin and Khaled Zennir
Journal of information & optimization sciences, Vol.43(4), pp.705-733
19/05/2022
DOI: https://doi.org/10.1080/02522667.2021.1972619

Abstract

Information Science & Library Science Science & Technology Technology
We consider a quasilinear coupled system of two viscoelastic equations with degenerate damping and source terms under Dirichlet boundary condition. We obtain the global existence, blow up and exponential growth of solutions under some restrictions on the initial data, relaxation functions and degenerate damping terms.

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