Asymptotic behavior of the transmission problem of the Bresse beam in thermoelasticity

DOI10.1007/S00033-022-01797-7zbMath1494.35040OpenAlexW4283770230MaRDI QIDQ2155966

Wael Youssef

Publication date: 15 July 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01797-7

zbMATH Keywords

thermoelasticitystabilisationone space dimensiontransmission problemparabolic-hyperbolic systemBresse beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Initial-boundary value problems for second-order parabolic systems (35K51) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Stabilization of Bresse system with thermodiffusion effects ⋮ Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction ⋮ Stability of a linear thermoelastic Bresse system with second sound under new conditions on the coefficients

Cites Work

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• Optimal polynomial decay of functions and operator semigroups
• Energy decay rate of the thermoelastic Bresse system
• Exponential and polynomial decay in a thermoelastic-Bresse system with second sound
• On the stabilization of the Bresse beam with Kelvin-Voigt damping
• Asymptotic stability of thermoelastic systems of Bresse type
• The Bresse system in thermoelasticity
• Rates of decay to weak thermoelastic Bresse system
• Modelling of dynamic networks of thin thermoelastic beams
• One-Parameter Semigroups for Linear Evolution Equations
• Stability results of a distributed problem involving Bresse system with history and/or Cattaneo law under fully Dirichlet or mixed boundary conditions
• Stabilization for the transmission problem of the Timoshenko system in thermoelasticity with two concentrated masses
• Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
• Decay Rates of the Solutions to the Thermoelastic Bresse System of Types I and III
• On the theoretical and numerical stability of the thermoviscoelastic Bresse system

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