Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media

DOI10.1007/s00009-019-1459-yzbMath1445.35027arXiv1712.01183OpenAlexW2996666519WikidataQ126592571 ScholiaQ126592571MaRDI QIDQ2295490

María Anguiano

Publication date: 13 February 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01183

zbMATH Keywords

homogenizationperforated mediadynamical boundary conditions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (10)

On \(p\)-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media ⋮ Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles ⋮ Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: Strong boundary interactions ⋮ Homogenization of parabolic problems with dynamical boundary conditions of reactive‐diffusive type in perforated media ⋮ Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain ⋮ Unnamed Item ⋮ A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case ⋮ Unnamed Item ⋮ Reaction-diffusion equation on thin porous media ⋮ Mathematical modeling of micropolar fluid flows through a thin porous medium

Cites Work

• Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains
• Homogenization in open sets with holes
• Homogenization of eigenvalue problems in perforated domains
• Homogenization of a class of singular elliptic problems in perforated domains
• Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions
• Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions
• Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions
• Homogenization and correctors of a class of elliptic problems in perforated domains
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