Existence and asymptotics of travelling waves in a thermo-diffusive model in half cylinders. Part I: Neumann boundary conditions
type: Item
instance of: scholarly article
title: Existence and asymptotics of travelling waves in a thermo-diffusive model in half cylinders. Part I: Neumann boundary conditions
zbMATH Open document ID: 1258.35048
DOI: 10.4171/RMI/696
author: Yannick Sire
published in: Revista Matemática Iberoamericana
publication date: 2012-11-22T00:00:00Z
review text: Summary: The aim of this work is to prove existence results and derive asymptotic limits for some nonlinear elliptic problems arising in flame propagation and set in unbounded cylinders. These problems are involved in the modelling of burner flames. The existence proof is a combination of topological degree arguments and estimates that are specific to the problems under consideration. We also derive some asymptotic limits for our model. We emphasize on the fact that the model under consideration is a system of reaction-diffusion equations.
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 6109699
zbMATH Keywords: topological degree
zbMATH Keywords: asymptotics
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6109699