Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities

DOI10.1134/S1064562411010108zbMath1233.35075MaRDI QIDQ656230

Juan-Miguel Gracia

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems ⋮ Homogenization in perforated domains: a Stokes grill and an adsorption process ⋮ Homogenization problem in domain perforated by thin tubes with nonlinear Robin type boundary condition ⋮ Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds ⋮ Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds ⋮ 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 ⋮ Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds ⋮ Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition ⋮ Correcting Terms for Perforated Media by Thin Tubes with Nonlinear Flux and Large Adsorption Parameters ⋮ 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

Cites Work

• Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size
• Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday)
• Averaging the diffusion equation in a porous medium with weak absorption
• On some homogenization problems in perforated domains with nonlinear boundary conditions
• Γ-convergence approach to variational problems in perforated domains with Fourier boundary conditions

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