Exponential decay of Timoshenko systems with indefinite memory dissipation

zbMath1173.35371MaRDI QIDQ1028501

Hugo D. Fernández Sare, Jaime Edilberto Muñoz Rivera

Publication date: 30 June 2009

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

full-memory effectnon-dissipative kernel

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Higher-order hyperbolic systems (35L55) Volterra integral equations (45D05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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Polynomial decay for the Timoshenko system with dynamical boundary conditions ⋮ Stabilization of memory type for a rotating disk-beam system ⋮ Lack of exponential stability to Timoshenko system with viscoelastic Kelvin-Voigt type ⋮ Stability conditions to Bresse systems with indefinite memory dissipation ⋮ On the rate of decay in interacting continua with memory ⋮ Exponential stabilization of the Timoshenko system by a thermal effect with an oscillating kernel ⋮ About the stability to Timoshenko system with one boundary dissipation ⋮ The Timoshenko system with history and Cattaneo law ⋮ Stability to 1-D thermoelastic Timoshenko beam acting on shear force ⋮ The stability number of the Timoshenko system with second sound ⋮ Dynamics of the nonlinear Timoshenko system with variable delay ⋮ Exponential stabilization of a non-uniform rotating disk-beam system via a torque control and a finite memory type dynamic boundary control ⋮ Stability conditions for thermodiffusion Timoshenko system with second sound ⋮ Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force

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