Exponential stability for a transmission problem of a viscoelastic wave equation

DOI10.1007/s00245-018-9514-9zbMath1436.35260OpenAlexW2886489068WikidataQ115608613 ScholiaQ115608613MaRDI QIDQ1987338

Emanuela R. S. Coelho, Marcelo Moreira Cavalcanti, Valéria Neves Domingos Cavalcanti

Publication date: 14 April 2020

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-018-9514-9

zbMATH Keywords

microlocal defect measureshereditary memoryviscoelastic effect

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (7)

Global attractors for a novel nonlinear piezoelectric beam model with dynamic electromagnetic effects and viscoelastic memory ⋮ Asymptotic stability of energy for a weak viscoelastic plate equation with complementary frictional damping ⋮ Stability of wave networks on elastic and viscoelastic media ⋮ Exponential stability for a transmission problem of a nonlinear viscoelastic wave equation ⋮ Global solvability and general decay of a transmission problem for Kirchhoff-type wave equations with nonlinear damping and delay term ⋮ Quasi-stability and attractors for a nonlinear coupled wave system with memory ⋮ Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control

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