A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: between the Euler-Bernoulli and Kirchhoff models

DOI10.3934/dcds.2020152zbMath1435.35375OpenAlexW3009213622MaRDI QIDQ2306871

Mahamadi Warma, Valentin Keyantuo, Louis Roder Tcheugoué Tébou

Publication date: 26 March 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020152

zbMATH Keywords

exponential stabilitythermoelastic platefractional rotational forcesGevrey class semigroup

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear elasticity with initial stresses (74B10) Plates (74K20) Fractional derivatives and integrals (26A33) Groups and semigroups of linear operators (47D03) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items (6)

Well-posedness and direct internal stability of coupled non-degenerate Kirchhoff system via heat conduction ⋮ Von Karman thermoelastic plates: existence and nonexistence of global solutions ⋮ Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case ⋮ Regularity and stability for a plate model involving fractional rotational forces and damping ⋮ Can the average temperature stabilize a system of thermoelastic plates? ⋮ Regularity and stability of the semigroup associated with some interacting elastic systems. I: A degenerate damping case

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