SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD

DOI10.1142/S0218348X21400211zbMath1482.35238MaRDI QIDQ5023995

Salah Mahmoud Boulaaras

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

approximate solutionGalerkin's methodnonlocal conditionMoore-Gibson-Thompson equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for linear higher-order PDEs (35G16) Integro-partial differential equations (35R09)

Related Items (7)

ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS ⋮ Global existence and decay estimates of energy of solutions for a new class of \(p\)-Laplacian heat equations with logarithmic nonlinearity ⋮ Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition ⋮ On the global solutions of abstract wave equations with high energies ⋮ Solvability for a new class of Moore-Gibson-Thompson equation with viscoelastic memory, source terms, and integral condition ⋮ A new result of stability for thermoelastic-Bresse system of second sound related with forcing, delay, and past history terms ⋮ Multiplicity solutions of fractional impulsive \(p\)-Laplacian systems: new result

Cites Work

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