On exponential stability for thermoelastic plates: comparison and singular limits

DOI10.1007/s00245-020-09670-7zbMath1470.80004OpenAlexW2790063357WikidataQ115608600 ScholiaQ115608600MaRDI QIDQ2045147

Mauricio Sepúlveda, Reinhard Racke, Octavio P. Vera Villagrán, Jaime Edilberto Muñoz Rivera

Publication date: 11 August 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1g74vk3ei0c3n1

zbMATH Keywords

exponential stabilitythermoelasticitysingular limitplatesFourier lawinertial termCattaneo law

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Thermal effects in solid mechanics (74F05) Initial value problems for higher-order hyperbolic equations (35L30) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (2)

Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction ⋮ Von Karman thermoelastic plates: existence and nonexistence of global solutions

Cites Work

• Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system
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• On the Energy Decay of a Linear Thermoelastic Bar and Plate
• Analyticity, and lack thereof, of thermo-elastic semigroups
• Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping
• Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
• On the L_p–L_q maximal regularity for the linear thermoelastic plate equation in a bounded domain
• Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions
• Presentations of Bruck-Reilly extensions and decision problems
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