Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients
type: Item
instance of: scholarly article
title: Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients
zbMATH Open document ID: 1320.35050
author: A. Piatnitski
author: V. Rybalko
author: A. Rybalko
publication date: 2014-10-31T00:00:00Z
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 6363190
zbMATH Keywords: eigenpair asymptotics
zbMATH Keywords: Dirichlet spectral problem
zbMATH Keywords: elliptic convection-diffusion operator
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1051/cocv/2014007
OpenAlex ID: W2105521945
DOI: 10.1051/COCV/2014007
published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
review text: In this paper, the authors study the asymptotic behavior as \(\varepsilon\to 0\) of the first eigenvalue and corresponding eigenfunction of a Dirichlet spectral problem for singularly perturbed elliptic convection-diffusion operator with oscillating periodic coefficients. They derived the limiting elliptic equation and they deduce the limiting value of the first eigenvalue and eigenfunction.
reviewed by: Daniel Ševčovič
description: scientific article; zbMATH DE number 6363190