Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions
From MaRDI portal
Publication:483679
DOI10.1134/S106456241405024XzbMath1307.35031OpenAlexW2320605489MaRDI QIDQ483679
Publication date: 17 December 2014
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106456241405024x
Nonlinear boundary value problems for linear elliptic equations (35J65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (14)
On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems ⋮ Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space ⋮ Homogenization in perforated domains: a Stokes grill and an adsorption process ⋮ On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains ⋮ Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case ⋮ Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\) ⋮ Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case ⋮ Unilateral problems for thep-Laplace operator in perforated media involving large parameters ⋮ Nonlocal problems in perforated domains ⋮ Model of stationary diffusion with absorption in domains with fine-grained random boundaries ⋮ Boundary homogenization in perforated domains for adsorption problems with an advection term ⋮ Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis ``nano-composite membranes ⋮ Homogenization of the boundary value problem for the Poisson equation with rapidly oscillating nonlinear boundary conditions: Space dimension \(n \geq 3\), critical case ⋮ Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case
Cites Work
- Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem
- On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
- Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain -- the influence of the scaling on the nonlinearity in the effective sink-source term
- Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
- On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions