Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone

DOI10.1080/00036810902994268zbMath1180.35071OpenAlexW2114704108MaRDI QIDQ3653306

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

Publication date: 22 December 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810902994268

zbMATH Keywords

Fourier boundary conditionsrandom boundarythick junctionrapidly oscillating boundary

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (12)

Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses ⋮ Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1 ⋮ A mathematical model for turbulent transport through thin randomly oscillating layers surrounding a fixed domain ⋮ Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms ⋮ Averaging in cascade junctions with a ``wide transmission domain ⋮ Boundary homogenization in domains with randomly oscillating boundary ⋮ Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force ⋮ Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction ⋮ 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

Cites Work

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• Boundary Homogenization and Reduction of Dimension in a Kirchhoff–Love Plate
• Unnamed Item

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