Well-posedness and stability results for laminated Timoshenko beams with interfacial slip and infinite memory

DOI10.1093/imamci/dnz002zbMath1436.93116OpenAlexW2911234829WikidataQ128637073 ScholiaQ128637073MaRDI QIDQ4959935

Aissa Guesmia

Publication date: 7 April 2020

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnz002

zbMATH Keywords

asymptotic behaviorenergy methodwell-posednessfrequency domain approachinfinite memoryTimoshenko beam with interfacial slip

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Frequency-response methods in control theory (93C80) Control of mechanical systems (70Q05) Exponential stability (93D23)

Related Items (14)

Optimal stability results for laminated beams with Kelvin-Voigt damping and delay ⋮ Dynamical behavior of the indirectly and locally memory-damped Timoshenko system ⋮ Exponential and polynomial stabilization of laminated beams with two history memories ⋮ General decay for laminated beams with structural memory and modified thermoelasticity of type III ⋮ Exponential stabilization of laminated beams with history memories ⋮ Decay rates of strongly damped Infinite laminated beams ⋮ New decay rates for a Cauchy thermoelastic laminated Timoshenko problem with interfacial slip under Fourier or Cattaneo laws ⋮ Laminated Timoshenko beams with interfacial slip and infinite memories ⋮ Optimal polynomial stability for laminated beams with Kelvin–Voigt damping ⋮ Laminated Timoshenko beam without complementary dissipation ⋮ On the decay rates for two Cauchy thermoelastic laminated Timoshenko problems of type III with interfacial slip ⋮ On the stability of a laminated Timoshenko problem with interfacial slip in the whole space under frictional dampings or infinite memories ⋮ Stability and instability results for Cauchy laminated Timoshenko-type systems with interfacial slip and a heat conduction of Gurtin-Pipkin's law ⋮ On the stability of a laminated beam with structural damping and Gurt–Pipkin thermal law

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