The quasi-homogenized Bakhvalov-Eglit model of a thermoviscoelastic material beyond the periodic setting

DOI10.1016/j.jmaa.2014.04.009zbMath1308.35306OpenAlexW2094219101MaRDI QIDQ489080

S. A. Sazhenkov

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.009

zbMATH Keywords

homogenizationkinetic equationYoung measureBakhvalov-Eglit modelthermoviscoelastic material

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Substantiation of two-scale homogenization of one-dimensional nonlinear thermoviscoelasticity equations with nonsmooth data
• On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data
• Existence of global generalized solutions of equations of the one-dimensional motion of a viscous real gas and of one-dimensional nonlinear thermoviscoelasticity.
• Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data
• Version of the homogenized Bakhvalov-Eglit model with kinetic equation for the evolution of oscillations
• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data

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