On certain mathematical models in continuum thermomechanics

DOI10.1007/s11784-014-0179-yzbMath1315.80004OpenAlexW2107900674MaRDI QIDQ490040

Vladimir Orlov, Viktor G. Zvyagin

Publication date: 21 January 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-014-0179-y

zbMATH Keywords

weak solutiona priori estimatesfixed point theoremssuccessive approximationsOberbeck-Boussinesq systemobjective Jaumann derivativethermoviscoelastic continuumweak-renormalized solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Thermal effects in solid mechanics (74F05) A priori estimates in context of PDEs (35B45) Linear constitutive equations for materials with memory (74D05) Thermodynamics of continua (80A17) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (15)

Weak solvability of thermo-Voigt-\( \alpha\) model ⋮ Solvability of thermoviscoelastic problem for Leray alpha-model ⋮ On the parabolic problem of motion of thermoviscoelastic media ⋮ Weak solvability of Kelvin-Voigt model of thermoviscoelasticity ⋮ Solvability of a parabolic problem with non-smooth data ⋮ On a Weak Solvability of a System of Thermoviscoelasticity of Oldroyd’s Type ⋮ Uniform attractors for non-autonomous systems of nonlinearly viscous fluid ⋮ Weak solvability of the generalized Voigt viscoelasticity model ⋮ On regularity of weak solutions to a generalized Voigt model of viscoelasticity ⋮ Dissipative solvability of Jeffreys-Oldroyd-\(\alpha\) model ⋮ On a model of thermoviscoelasticity of Jeffreys-Oldroyd type ⋮ Navier-Stokes-alpha model with temperature-dependent viscosity ⋮ On one problem of viscoelastic fluid dynamics with memory on an infinite time interval ⋮ Optimal Feedback Control for a Thermoviscoelastic Model of the Motion of Water Polymer Solutions ⋮ Attractors for model of viscoelastic media with memory motion in non-autonomous case

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