New stability results for a linear thermoelastic Bresse system with second sound

DOI10.1007/s00245-019-09560-7zbMath1462.35064OpenAlexW2917437594MaRDI QIDQ2020307

Aissa Guesmia, Abdelaziz Soufyane, Mounir Afilal

Publication date: 23 April 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09560-7

zbMATH Keywords

asymptotic behaviorenergy methodwell-posednessheat conductionsemigroup theoryfrequency domain approach

Mathematics Subject Classification ID

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) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (10)

The effect of the heat conduction of types I and III on the decay rate of the Bresse system via the vertical displacement ⋮ General condition for exponential stability of thermoelastic Bresse systems with Cattaneo's law ⋮ Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement ⋮ Laminated beams with thermoelasticity acting on the shear force ⋮ Optimal memory-type boundary control of the Bresse system ⋮ Arched beams of Bresse type: observability and application in thermoelasticity ⋮ Upper semicontinuity of the global attractor for Bresse system with second sound ⋮ Stability of a linear thermoelastic Bresse system with second sound under new conditions on the coefficients ⋮ The effect of the heat conduction of types I and III on the decay rate of the Bresse system via the longitudinal displacement ⋮ On the stabilization of the Bresse beam with Kelvin-Voigt damping

Cites Work

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• Bresse system with infinite memories

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