Homogenization of a class of linear partial differential equations

DOI10.3233/ASY-2012-1145zbMath1280.35152OpenAlexW140548452MaRDI QIDQ2852325

Marcus Waurick

Publication date: 8 October 2013

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-2012-1145

zbMATH Keywords

fractional derivativeshomogenizationthermo-elasticityevolutionary differential equationsdelay and memory effects

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Nonlinear constitutive equations for materials with memory (74D10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

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Stabilization via homogenization ⋮ On the homogenization of partial integro-differential-algebraic equations ⋮ On evolutionary equations with material laws containing fractional integrals ⋮ A novel approach to computational homogenization and its application to fully coupled two-scale thermomechanics ⋮ Resolvent estimates in homogenisation of periodic problems of fractional elasticity ⋮ On a class of degenerate abstract parabolic problems and applications to some eddy current models ⋮ Fibre homogenisation ⋮ Homogenisation and the weak operator topology ⋮ Two-scale homogenization of abstract linear time-dependent PDEs

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