Growth of solutions with $ L^{2(p+2)} $-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms

Abdelbaki Choucha,Bahri Cherif,Sahar Ahmed Idris,Muajebah Hidan

doi:10.3934/math.2022025

Growth of solutions with $ L^{2(p+2)} $-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms

Abdelbaki Choucha, Bahri Cherif + Show 2 more

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https://doi.org/10.3934/math.2022025

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2021
Citations: 2	License type: cc-by

Affiliation: Hamma Lakhdar Eloued University, University of Laghouat, King Khalid University, Qassim University

#Energy Point Of View #Degenerate Damping + Show 8 more

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Abstract

<abstract><p>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 $ L^{2(p+2)} $-norm.</p></abstract>

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