On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
type: Item
instance of: scholarly article
title: On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
zbMATH Open document ID: 1178.35157
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2009-07-02T00:00:00Z
review text: Assuming that coefficients stabilize to a periodic regime, the authors prove existence of a bounded solution, its stabilization to a constant, and give sufficient and necessary conditions for the uniqueness of solutions to a linear stationary reaction-diffusion equation posed in an semi-infinite cylinder. They impose Neumann conditions on the lateral boundary of the cylinder, while at the cylinder's basis they prescribe a Dirichlet condition.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B27
zbMATH DE Number: 5574129
zbMATH Keywords: elliptic equation
zbMATH Keywords: semi-infinite cylinder
author: I. Pankratova
author: A. Piatnitski
MaRDI profile type: Publication
full work available at URL: dcdsb.2009.11.935
OpenAlex ID: W2172154224
DOI: 10.3934/DCDSB.2009.11.935
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description: scientific article; zbMATH DE number 5574129