Global Nonexistence of Solutions for a Class of Viscoelastic Lamé System

Mohammad Shahrouzi ()
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Mohammad Shahrouzi: Jahrom University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1383-1397

Abstract: Abstract The aim of this work is to study the blow-up result for a Lamé system of viscoelastic equation with variable-exponent nonlinearities and strong damping. Under some suitable conditions on the coefficients, memory term and initial data, we proved a global nonexistence result for the weak solution with positive initial energy.

Keywords: Global nonexistence; variable-exponent; viscoelastic; Lamé; system; 35B44; 35L72; 35N10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0472-y

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