On the rate of convergence of solutions in domain with random multilevel oscillating boundary

DOI10.3233/ASY-131194zbMath1305.35019OpenAlexW1787099384MaRDI QIDQ5417062

Umberto De Maio, Andrey L. Piatnitski, Gregory A. Chechkin, Ciro D' Apice

Publication date: 15 May 2014

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

Full work available at URL: https://doi.org/10.3233/asy-131194

zbMATH Keywords

homogenizationsingular perturbationsrandom structuresestimates of convergencerapidly oscillating boundary

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (6)

Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms ⋮ Homogenization of the heat equation in a noncylindrical domain 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 ⋮ Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms

This page was built for publication: On the rate of convergence of solutions in domain with random multilevel oscillating boundary