General stability results for the translational problem of memory-type in porous thermoelasticity of type III

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3 Scopus citations

Abstract

A beam modelled by a Timoshenko system with a viscoelastic damping on one component is considered. The system is coupled with a hyperbolic heat equation. One end of the structure is fixed to a platform in a translational movement and the other one is attached to a non-negligble mass. The well-posedness and asymptotic stability results for the system under some conditions on the initial and the boundary data are established.

Original languageEnglish
Article number49
JournalJournal of Nonlinear Functional Analysis
Volume2020
Issue number1
DOIs
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 Mathematical Research Press. All rights reserved.

Keywords

  • Porous thermoelastic system
  • Translational problem
  • Uniform and weak decay
  • Viscoelastic damping

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Fluid Flow and Transfer Processes
  • Control and Optimization

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