On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System

DOI10.1137/18M1191774zbMath1437.35055WikidataQ126812862 ScholiaQ126812862MaRDI QIDQ5243366

E. H. Gomes Tavares, M. O. Alves, José H. Rodrigues, Marcio Antonio Jorge da Silva

Publication date: 18 November 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

decay ratesobservability inequalityequal wave speeds

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Observability (93B07) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (19)

Smooth dynamics of a Timoshenko system with hybrid dissipation ⋮ Effects of history and heat models on the stability of thermoelastic Timoshenko systems ⋮ Decay property for a novel partially dissipative viscoelastic beam system on the real line ⋮ Exponential stabilization of laminated beams with history memories ⋮ New general and explicit stability result for a thermoelastic Timoshenko system ⋮ New stability result of a partially dissipative viscoelastic Timoshenko system with a wide class of relaxation function ⋮ Memory Effects on the Stability of Viscoelastic Timoshenko Systems in the Whole 1<i>D</i>-Space ⋮ Stabilization of a coupled wave equation with one localized nonregular fractional Kelvin–Voigt damping with nonsmooth coefficients ⋮ Stabilization of a new memory-type thermoelastic Timoshenko system ⋮ Shearing Viscoelasticity in Partially Dissipative Timoshenko–Boltzmann Systems ⋮ A locking-free finite element formulation for a non-uniform linear viscoelastic Timoshenko beam ⋮ The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency ⋮ Stability result for a new viscoelastic-thermoelastic Timoshenko system ⋮ Dynamics of a new thermoelastic Timoshenko system with second sound ⋮ A new stability result for a thermoelastic Bresse system with viscoelastic damping ⋮ A general decay estimate for a finite memory thermoelastic Bresse system. ⋮ Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force ⋮ On the stability of a viscoelastic Timoshenko system with Maxwell-Cattaneo heat conduction ⋮ A new perspective of exponential stability for Timoshenko systems under history and thermal effects1

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