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
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Publication:2243714
DOI10.1134/S106456242002009XzbMath1477.35020MaRDI QIDQ2243714
David Gómez-Castro, M. N. Zubova, Jesús Ildefonso Díaz, Tatiana A. Shaposhnikova
Publication date: 11 November 2021
Published in: Doklady Mathematics (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (2)
Appearance of a nonlocal monotone operator in transmission conditions when homogenizing the Poisson equation in a domain perforated along an \((n - 1)\)-dimensional manifold by sets of arbitrary shape and critical size with nonlinear dynamic boundary conditions on the boundary of perforations ⋮ Unnamed Item
Cites Work
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- Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case
- Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media
- Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case
- Homogenization in perforated domains: a Stokes grill and an adsorption process
- A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition
- Nonlinear Reaction-Diffusion Processes for Nanocomposites
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