General decay of solutions of a thermoelastic Bresse system with viscoelastic boundary conditions | Zendy

Ammar Khemmoudj | Zendy

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General decay of solutions of a thermoelastic Bresse system with viscoelastic boundary conditions

Author(s) -

Ammar Khemmoudj

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.42089

Subject(s) - thermoelastic damping , viscoelasticity , dissipation , exponential decay , relaxation (psychology) , thermal conduction , boundary (topology) , polynomial , mathematical analysis , class (philosophy) , mathematics , boundary value problem , exponential function , physics , thermal , thermodynamics , computer science , nuclear physics , psychology , social psychology , artificial intelligence

Ammar Khemmoudj abstract: In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For a wider class of relaxation functions, We show that the dissipation produced by the memory effect is strong enough to produce a general decay results. We establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

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