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Growth of solutions with L2(p +2)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms
Journal article   Open access  Peer reviewed

Growth of solutions with L2(p +2)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms

Abdelbaki Choucha, Muajebah Hidan, Bahri Cherif and Sahar Ahmed Idris
AIMS mathematics, Vol.7(1), pp.371-383
01/01/2022
DOI: https://doi.org/10.3934/math.2022025

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we consider a coupled nonlinear viscoelastic Kirchhoff equations with degenerate damping, dispersion and source terms. Under suitable hypothesis, we will prove that when the initial data are large enough (in the energy point of view), the energy grows exponentially and thus so the L2(p+2)-norm.
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https://doi.org/10.3934/math.2022025View
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