Global Regular Solutions to a Kelvin--Voigt Type Thermoviscoelastic System

DOI10.1137/110859026zbMath1456.74032arXiv1112.3176OpenAlexW2591893174MaRDI QIDQ2855118

Wojciech M. Zajączkowski, Irena Pawłow

Publication date: 24 October 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3176

zbMATH Keywords

a priori estimatesglobal existenceKelvin-Voigt type materialsthermoviscoelastic systemSobolev spaces with a mixed norm

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) A priori estimates in context of PDEs (35B45) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (10)

Sixth-order Cahn–Hilliard equations with singular nonlinear terms ⋮ Nonlinearly coupled thermo-visco-elasticity ⋮ Polynomial stability for a Timoshenko-type system of thermoelasticity with partial Kelvin-Voigt damping ⋮ Non-exponential stability to a Timoshenko system with heat conduction and Kelvin-Voigt damping ⋮ Three-dimensional thermo-visco-elasticity with the Einstein-Debye \((\theta^3+\theta)\)-law for the specific heat. Global regular solvability ⋮ On certain mathematical models in continuum thermomechanics ⋮ Global regular solutions to three-dimensional thermo-visco-elasticity with nonlinear temperature-dependent specific heat ⋮ Unnamed Item ⋮ On regular solutions to two-dimensional thermoviscoelasticity ⋮ Global regular solutions to two-dimensional thermoviscoelasticity

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