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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/986738 |
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| _version_ | 1832546504839004160 |
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| author | Luisa Malaguti Cristina Marcelli Serena Matucci |
| author_facet | Luisa Malaguti Cristina Marcelli Serena Matucci |
| author_sort | Luisa Malaguti |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-04b9747fe3814458abf0a41247bb6828 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-04b9747fe3814458abf0a41247bb68282025-02-03T06:48:37ZengWileyAbstract 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 |
| spellingShingle | Luisa Malaguti Cristina Marcelli Serena Matucci Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2011/986738 |
| work_keys_str_mv | AT luisamalaguti continuousdependenceinfrontpropagationforconvectivereactiondiffusionmodelswithaggregativemovements AT cristinamarcelli continuousdependenceinfrontpropagationforconvectivereactiondiffusionmodelswithaggregativemovements AT serenamatucci continuousdependenceinfrontpropagationforconvectivereactiondiffusionmodelswithaggregativemovements |