The periodic unfolding method for a class of parabolic problems with imperfect interfaces

DOI10.1051/M2AN/2013139zbMath1304.35072OpenAlexW2003694240MaRDI QIDQ2925700

Zhan-Ying Yang

Publication date: 17 October 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2013139

zbMATH Keywords

homogenizationheat transfercorrector estimatesstrong convergence resultsperiodic unfoldingimperfect interfacescontrasted media

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Homogenization and correctors for the hyperbolic problems with imperfect interfaces via the periodic unfolding method ⋮ Homogenization results for a Landau–Lifshitz–Gilbert equation in composite materials with transmission defects ⋮ Exact internal controllability for a problem with imperfect interface ⋮ Asymptotic analysis of a certain class of semilinear parabolic problem with interfacial contact resistance ⋮ Homogenization theory of ion transportation in multicellular tissue ⋮ A note on the exact boundary controllability for an imperfect transmission problem ⋮ Exact controllability for evolutionary imperfect transmission problems ⋮ Homogenization and correctors for linear stochastic equations via the periodic unfolding methods ⋮ The Cardiac bidomain model and homogenization ⋮ Homogenization and exact controllability for problems with imperfect interface ⋮ Optimal control for evolutionary imperfect transmission problems

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