The effect of the heat conduction of types I and III on the decay rate of the Bresse system via the longitudinal displacement

DOI10.1007/S40065-018-0210-ZzbMath1411.35199OpenAlexW2808510380WikidataQ129700802 ScholiaQ129700802MaRDI QIDQ1734989

Aissa Guesmia

Publication date: 27 March 2019

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-018-0210-z

zbMATH Keywords

exponential stabilitypolynomial stabilityhomogeneous Dirichlet-Neumann boundary conditions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) 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 (7)

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 ⋮ Arched beams of Bresse type: New thermal couplings and pattern of stability ⋮ New stability result for a thermoelastic Bresse system with two infinite memories ⋮ Arched beams of Bresse type: observability and application in thermoelasticity ⋮ Unnamed Item ⋮ Existence and energy decay of a Bresse system with thermoelasticity of type III

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Modeling, analysis and control of dynamic elastic multi-link structures
• Exponential and polynomial decay in a thermoelastic-Bresse system with second sound
• New stability results for a linear thermoelastic Bresse system with second sound
• Asymptotic stability of thermoelastic systems of Bresse type
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Rates of decay to weak thermoelastic Bresse system
• A re-examination of the basic postulates of thermomechanics
• On the Spectrum of C 0 -Semigroups
• Modelling of dynamic networks of thin thermoelastic beams

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