Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements

Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements

The paper deals with a degenerate reaction-diffusion equation, including aggregative movements and convective terms. The model also incorporates a real parameter causing the change from a purely diffusive to a diffusive-aggregative and to a purely aggregative regime. Existence and qualitative proper...

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Main Authors: Luisa Malaguti, Cristina Marcelli, Serena Matucci
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/986738
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spelling doaj-04b9747fe3814458abf0a41247bb68282020-11-24T21:12:43ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/986738986738Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative MovementsLuisa Malaguti0Cristina Marcelli1Serena Matucci2Department of Engineering Sciences and Methods, University of Modena and Reggio Emilia, 42122 Reggio Emilia, ItalyDepartment of Mathematical Sciences, Polytechnic University of Marche, 60131 Ancona, ItalyDepartment of Electronic and Telecommunications, University of Florence, 50139 Florence, ItalyThe paper deals with a degenerate reaction-diffusion equation, including aggregative movements and convective terms. The model also incorporates a real parameter causing the change from a purely diffusive to a diffusive-aggregative and to a purely aggregative regime. Existence and qualitative properties of traveling wave solutions are investigated, and estimates of their threshold speeds are furnished. Further, the continuous dependence of the threshold wave speed and of the wave profiles on a real parameter is studied, both when the process maintains its diffusion-aggregation nature and when it switches from it to another regime.http://dx.doi.org/10.1155/2011/986738
collection DOAJ
language English
format Article
sources DOAJ
author Luisa Malaguti
Cristina Marcelli
Serena Matucci
spellingShingle Luisa Malaguti
Cristina Marcelli
Serena Matucci
Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements
Abstract and Applied Analysis
author_facet Luisa Malaguti
Cristina Marcelli
Serena Matucci
author_sort Luisa Malaguti
title Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements
title_short Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements
title_full Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements
title_fullStr Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements
title_full_unstemmed Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements
title_sort continuous dependence in front propagation for convective reaction-diffusion models with aggregative movements
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description The paper deals with a degenerate reaction-diffusion equation, including aggregative movements and convective terms. The model also incorporates a real parameter causing the change from a purely diffusive to a diffusive-aggregative and to a purely aggregative regime. Existence and qualitative properties of traveling wave solutions are investigated, and estimates of their threshold speeds are furnished. Further, the continuous dependence of the threshold wave speed and of the wave profiles on a real parameter is studied, both when the process maintains its diffusion-aggregation nature and when it switches from it to another regime.
url http://dx.doi.org/10.1155/2011/986738
work_keys_str_mv AT luisamalaguti continuousdependenceinfrontpropagationforconvectivereactiondiffusionmodelswithaggregativemovements
AT cristinamarcelli continuousdependenceinfrontpropagationforconvectivereactiondiffusionmodelswithaggregativemovements
AT serenamatucci continuousdependenceinfrontpropagationforconvectivereactiondiffusionmodelswithaggregativemovements
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