Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots
type: Item
instance of: scholarly article
title: Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots
zbMATH Open document ID: 1200.35020
author: Youcef Amirat
author: G. A. Chechkin
author: R. R. Gadyl'shin
published in: Mathematical Methods in the Applied Sciences
publication date: 2010-05-27T00:00:00Z
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 76M50
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5713061
zbMATH Keywords: oscillating boundary
zbMATH Keywords: two-dimensional bounded domain
zbMATH Keywords: two-term asymptotics
MaRDI profile type: Publication
full work available at URL: mma.1193
OpenAlex ID: W2001842156
cites work: Effective boundary conditions for laminar flows over periodic rough boundaries
cites work: Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
cites work: Effect of rugosity on a flow governed by stationary Navier-Stokes equations
cites work: Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues
cites work: Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary
cites work: Averaging the third boundary value problem for a Poisson equation in a domain with a fast oscillating boundary
cites work: Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary
cites work: Homogenization theorem for problems in domains of the ``infusoria'' type with uncoordinated structure
cites work: The boundary-value problem in domains with very rapidly oscillating boundary
cites work: Asymptotic behaviour of non-homogeneous Neumann problems in domains with oscillating boundary
cites work: On the roughness-induced effective boundary conditions for an incompressible viscous flow
cites work: Sur Certaines Proprietes Spectrales Des Perturbations Du Domaine Dans Les Problemes Aux Limites
cites work: Q4777761
cites work: Q4515878
cites work: Homogenization of Rough Boundaries and Interfaces
cites work: Junctions of singularly degenerating domains with different limit dimensions
cites work: Q4001834
cites work: Q5526485
DOI: 10.1002/MMA.1193
description: scientific article