On the control ofn-dimensional thermoelastic system

DOI10.1080/00036811.2011.601298zbMath1270.35110OpenAlexW2051088800WikidataQ58257173 ScholiaQ58257173MaRDI QIDQ4908184

Muhammad I. Mustafa

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.601298

zbMATH Keywords

frictional dampingmultiplier methodgeneral decaygeneral Young inequality

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) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55) PDEs in connection with control and optimization (35Q93)

Related Items (2)

Time optimal control of a thermoelastic system ⋮ Energy decay in thermoelasticity with viscoelastic damping of general type

Cites Work

• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
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• Exponential energy decay in a linear thermoelastic rod
• On the energy decay of a linear thermoelastic bar
• Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type
• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity
• Exponential stability in linear thermoelasticity: the inhomogeneous case
• Von Karman Evolution Equations
• Existence and exponential decay in nonlinear thermoelasticity
• Sur la décroissance non uniforme de l'énergie dans le système de la thermoélasticité linéaire
• Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
• On global smooth solutions to the one-dimensional equations of nonlinear inhomogeneous thermoelasticity
• Sharp decay rates in parabolic and hyperbolic thermoelasticity

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