The problem of thermo-chemical formation of a composite material. Properties of solutions and homogenization

DOI10.1007/s10958-012-0705-7zbMath1252.35261OpenAlexW2042880374MaRDI QIDQ1762524

Gregory P. Panasenko, Andrey A. Amosov

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0705-7

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Related Items (3)

A novel computational multiscale approach to model thermochemical coupled problems in heterogeneous solids: application to the determination of the ``state of cure in filled elastomers ⋮ A composite material with inextensible-membrane-type interface ⋮ Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model

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• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Precise estimates of the difference between the homogenized solution with its first corrector and the original One
• Thermo-chemical modelling of the formation of a composite material

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