Travelling wave solutions in a negative nonlinear diffusion–reaction model

We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see...

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Detalles Bibliográficos
Autores principales: Li, Yifei, Heijster, Peter van, Marangell, Robert, Simpson, Matthew J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7717045/
https://www.ncbi.nlm.nih.gov/pubmed/33216181
http://dx.doi.org/10.1007/s00285-020-01547-1
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author Li, Yifei
Heijster, Peter van
Marangell, Robert
Simpson, Matthew J.
author_facet Li, Yifei
Heijster, Peter van
Marangell, Robert
Simpson, Matthew J.
author_sort Li, Yifei
collection PubMed
description We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see text] , and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions.
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spelling pubmed-77170452020-12-04 Travelling wave solutions in a negative nonlinear diffusion–reaction model Li, Yifei Heijster, Peter van Marangell, Robert Simpson, Matthew J. J Math Biol Article We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see text] , and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions. Springer Berlin Heidelberg 2020-11-20 2020 /pmc/articles/PMC7717045/ /pubmed/33216181 http://dx.doi.org/10.1007/s00285-020-01547-1 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Li, Yifei
Heijster, Peter van
Marangell, Robert
Simpson, Matthew J.
Travelling wave solutions in a negative nonlinear diffusion–reaction model
title Travelling wave solutions in a negative nonlinear diffusion–reaction model
title_full Travelling wave solutions in a negative nonlinear diffusion–reaction model
title_fullStr Travelling wave solutions in a negative nonlinear diffusion–reaction model
title_full_unstemmed Travelling wave solutions in a negative nonlinear diffusion–reaction model
title_short Travelling wave solutions in a negative nonlinear diffusion–reaction model
title_sort travelling wave solutions in a negative nonlinear diffusion–reaction model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7717045/
https://www.ncbi.nlm.nih.gov/pubmed/33216181
http://dx.doi.org/10.1007/s00285-020-01547-1
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AT marangellrobert travellingwavesolutionsinanegativenonlineardiffusionreactionmodel
AT simpsonmatthewj travellingwavesolutionsinanegativenonlineardiffusionreactionmodel

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