On the stability of a laminated beam with structural damping and Gurt–Pipkin thermal law

DOI10.15388/namc.2021.26.23051zbMath1466.35091OpenAlexW3194880491MaRDI QIDQ4993838

Wenjun Liu, Weifan Zhao

Publication date: 10 June 2021

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2021.26.23051

zbMATH Keywords

exponential stabilitywell-posednessGearhart-Herbst-Prüss-Huang theoremlack of exponential stabilityLumer-Phillips theorem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Asymptotic stability in control theory (93D20) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items (7)

General decay for a thermoelastic problem of a microbeam with Gurtin-Pipkin thermal law ⋮ Exponential stability for laminated beams with intermediate damping ⋮ Quasi-stability and attractor for a laminated-Coleman-Gurtin beam without structural damping ⋮ General decay for laminated beams with structural memory and modified thermoelasticity of type III ⋮ Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws ⋮ New exponential stability result for thermoelastic laminated beams with structural damping and second sound ⋮ Exponential and polynomial decay for a laminated beam with Fourier's law of heat conduction and possible absence of structural damping

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