Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement

DOI10.1515/msds-2017-0008zbMath1404.35280OpenAlexW2769666491WikidataQ115514309 ScholiaQ115514309MaRDI QIDQ1687067

Aissa Guesmia

Publication date: 19 December 2017

Published in: Nonautonomous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/msds-2017-0008

zbMATH Keywords

energy methodfrequency domain approach

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (11)

Uniform and weak stability of Bresse system with one infinite memory in the shear angle displacements ⋮ The effect of the heat conduction of types I and III on the decay rate of the Bresse system via the vertical displacement ⋮ 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 ⋮ Stability of a linear thermoelastic Bresse system with second sound under new conditions on the coefficients ⋮ Unnamed Item ⋮ 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 asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis ⋮ Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement

Cites Work

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• Characterization of polynomial decay rate for the solution of linear evolution equation
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• On the Spectrum of C 0 -Semigroups
• Modelling of dynamic networks of thin thermoelastic beams
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• Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
• Bresse system with infinite memories
• On the decay rates of Timoshenko system with second sound

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