Regularity and upper semicontinuity of pullback attractors for a class of nonautonomous thermoelastic plate systems

DOI10.2140/pjm.2019.301.395zbMath1441.35059OpenAlexW2981519929WikidataQ126983929 ScholiaQ126983929MaRDI QIDQ2305347

Karina Schiabel, Flank D. M. Bezerra, Marcelo J. D. Nascimento, Vera Lúcia Carbone

Publication date: 10 March 2020

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

Full work available at URL: https://doi.org/10.2140/pjm.2019.301.395

zbMATH Keywords

regularityupper semicontinuitypullback attractorsparabolic-hyperbolic systemuniform sectorial operatorsisotropic Euler-Bernoulli plate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) One-parameter semigroups and linear evolution equations (47D06) Plates (74K20) Thermal effects in solid mechanics (74F05) Topological dynamics of nonautonomous systems (37B55)

Related Items (4)

A note on asymptotic profiles for the thermoelastic plate system ⋮ Optimal large‐time estimates and singular limits for thermoelastic plate equations with the Fourier law ⋮ Existence and stability of pullback exponential attractors for a nonautonomous semilinear evolution equation of second order ⋮ Long-time behaviour for a non-autonomous Klein-Gordon-Zakharov system

Cites Work

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• Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations
• Pullback attractors for a class of non-autonomous thermoelastic plate systems
• Existence of pullback attractors for pullback asymptotically compact processes
• Analyticity, and lack thereof, of thermo-elastic semigroups
• Local well posedness for strongly damped wave equations with critical nonlinearities

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