Boundary stabilization of memory type in thermoelasticity of type III

DOI10.1080/00036810701714180zbMath1136.35321OpenAlexW2047982378WikidataQ58245468 ScholiaQ58245468MaRDI QIDQ5448686

Messaoudi A. Salim, Abdelaziz Soufyane

Publication date: 7 March 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701714180

zbMATH Keywords

exponential stabilitypolynomial decay

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Thermal effects in solid mechanics (74F05) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55)

Related Items

On the decay rates for thermoviscoelastic systems of type III ⋮ Hölder stability in type III thermoelastodynamics ⋮ Exponential stability to localized type III thermoelasticity ⋮ Regular global attractors of type III thermoelastic extensible beams ⋮ Unnamed Item ⋮ Decay of the Timoshenko beam with thermal effect and memory boundary conditions ⋮ General boundary stabilization of memory type in thermoelasticity of type III ⋮ On a nonlinear boundary problem for thermoelastic coupled beam equations with memory term ⋮ On uniqueness and continuous dependence in type III thermoelasticity ⋮ On the backward in time problem for the thermoelasticity with two temperatures ⋮ On the spatial behavior in type III thermoelastodynamics ⋮ A type III thermoelastic problem with mixtures ⋮ Boundary feedback stabilization of Kirchhoff-type Timoshenko system ⋮ On the boundary control of thermoviscoelastic systems of type III ⋮ A uniform stability result for thermoelasticity of type III with boundary distributed delay

Cites Work

• Complete solutions in the theory of thermoelasticity without energy dissipation
• Thermoelasticity without energy dissipation
• Structural stability and continuous dependence of solutions of thermoelasticity of type III
• Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary.
• Convergence and structural stability in thermoelasticity.
• Nonlinear boundary stabilization of an inhomogeneous and anisotropic thermoelasticity system
• Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound
• Stability in thermoelasticity of type III
• Growth and uniqueness in thermoelasticity
• LOCAL EXISTENCE AND BLOW UP IN NONLINEAR THERMOELASTICITY WITH SECOND SOUND
• A re-examination of the basic postulates of thermomechanics
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
• A New Approach of Stabilization of Nondissipative Distributed Systems
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
• On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms
• Damping of end effects in a thermoelastic theory
• Instability and non-existence in the nonlinear theory of thermoelasticity without energy dissipation