Singular Limit for Reactive Diffusive Transport Through an Array of Thin Channels in case of Critical Diffusivity

DOI10.1137/21M1390505zbMath1481.35033arXiv2003.13310OpenAlexW3211313136MaRDI QIDQ5022752

Markus Gahn, Maria Neuss-Radu

Publication date: 19 January 2022

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13310

zbMATH Keywords

homogenizationnonlinear boundary conditionsreaction-diffusion equationtwo-scale convergenceeffective transmission conditionsarray of channels

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (4)

Effective transmission conditions for reaction–diffusion processes in domains separated by thin channels ⋮ Homogenization of a semilinear elliptic problem in a thin composite domain with an imperfect interface ⋮ Upscaling of a double porosity problem with jumps in thin porous media ⋮ Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer

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