Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction

DOI10.1134/S1061920810010048zbMath1196.35035OpenAlexW2084073164MaRDI QIDQ965921

Gregory A. Chechkin, Ciro D' Apice, Umberto De Maio, Tatiana P. Chechkina, Taras A. Mel'nyk

Publication date: 26 April 2010

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920810010048

zbMATH Keywords

Birkhoff's ergodic theoremthree dimensional junction

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms ⋮ Averaging in cascade junctions with a ``wide transmission domain ⋮ Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system ⋮ Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients ⋮ Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force ⋮ On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary ⋮ Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms

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