Regularity analysis for an abstract thermoelastic system with inertial term

DOI10.1051/cocv/2020075zbMath1468.35029OpenAlexW3105278932MaRDI QIDQ4999602

Zhaobin Kuang, Zhuangyi Liu, Hugo D. Fernández Sare

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2020075

zbMATH Keywords

analytic semigrouppolynomial stabilityparabolic-hyperbolic systemsGevrey class semigroup

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Groups and semigroups of linear operators (47D03) Abstract hyperbolic equations (35L90)

Related Items (2)

Stability analysis for abstract theomoelastic systems with Cattaneo's law and inertial terms ⋮ Dynamics of a thermoelastic Balakrishnan-Taylor beam model with fractional operators

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal polynomial decay of functions and operator semigroups
• Semigroups of linear operators and applications to partial differential equations
• Proof of extensions of two conjectures on structural damping for elastic systems
• A note on the equations of a thermoelastic plate
• Large solutions and smoothing properties for nonlinear thermoelastic systems
• Qualitative properties of certain \(C_0\) semigroups arising in elastic systems with various dampings
• Stability of abstract thermoelastic systems with inertial terms
• A general framework for the study of indirect damping mechanisms in elastic systems
• Stability of an abstract system of coupled hyperbolic and parabolic equations
• Stability properties of an abstract system with applications to linear thermoelastic plates
• Regularity analysis for an abstract system of coupled hyperbolic and parabolic equations
• A mathematical model for linear elastic systems with structural damping
• Analyticity, and lack thereof, of thermo-elastic semigroups
• Dynamic stabilization of systems via decoupling techniques
• One-Parameter Semigroups for Linear Evolution Equations
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½

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