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

Fares Yazid, Djamel Ouchenane, Khaled Zennir

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.


Keywords


Porous system, Semi-group, Delay term, General stability, Exponential growth, Lyapunove method.

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DOI: http://dx.doi.org/10.24193/subbmath.2022.3.08

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