Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term

DOI10.1002/MMA.6673zbMath1462.35074OpenAlexW3041131184MaRDI QIDQ5143498

Abdelbaki Choucha, Djamel Ouchenane, Salah Mahmoud Boulaaras

Publication date: 12 January 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6673

zbMATH Keywords

well-posedness exponential decay polynomial decay thermoelastic laminated beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Second-order nonlinear hyperbolic equations (35L70) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (28)

Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan-Taylor damping ⋮ Growth of solutions with \(L^{2(p+2)} \)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms ⋮ Stability results for laminated beam with thermo-visco-elastic effects and localized nonlinear damping ⋮ GLOBAL EXISTENCE OF TIMOSHENKO SYSTEM WITH RESPECT TO FRACTIONAL MEMORY OPERATOR, SPATIAL FRACTIONAL THERMAL EFFECT AND DISTRIBUTED DELAY ⋮ RESULT OF LOCAL EXISTENCE OF SOLUTIONS OF NONLOCAL VISCOELASTIC SYSTEM WITH RESPECT TO THE NONLINEARITY OF SOURCE TERMS ⋮ Well-posedness and general decay for nonlinear damped porous thermoelastic system with second sound and distributed delay terms ⋮ Blow-up of solutions for a quasilinear system with degenerate damping terms ⋮ Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms ⋮ Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping ⋮ General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping ⋮ Stabilization of the wave equation with a nonlinear delay term in the boundary conditions ⋮ Exponential stability of a laminated beam system with thermoelasticity of type III and distributed delay ⋮ Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents ⋮ A general decay criterion for a viscoelastic equation with nonlinear distributed delay and damping effects ⋮ Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay ⋮ General decay for a system of viscoelastic wave equation with past history, distributed delay and Balakrishnan-Taylor damping terms ⋮ Unnamed Item ⋮ Polynomial decay rate for a coupled Lamé system with viscoelastic damping and distributed delay terms ⋮ Stability result of Laminated beam with internal distributed delay ⋮ Exponential stability of swelling porous elastic with a viscoelastic damping and distributed delay term ⋮ On the system of coupled nondegenerate Kirchhoff equations with distributed delay: global existence and exponential decay ⋮ Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay ⋮ On the porous-elastic system with thermoelasticity of type III and distributed delay: well-posedness and stability ⋮ A new result of stability for thermoelastic-Bresse system of second sound related with forcing, delay, and past history terms ⋮ Exponential stabilization of a swelling porous-elastic system with microtemperature effect and distributed delay ⋮ STABILITY RESULT AND WELL-POSEDNESS FOR TIMOSHENKO’S BEAM LAMINATED WITH THERMOELASTIC AND PAST HISTORY ⋮ Exponential stability of laminated beam with neutral delay ⋮ Asymptotic behavior of a laminated beam with nonlinear delay and nonlinear structural damping

This page was built for publication: Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term