Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system
The paper is concerned with a singular limit for the bistable traveling wave problem in a very large class of two-species fully nonlinear parabolic systems with competitive reaction terms. Assuming existence of traveling waves and enough compactness, we derive and characterize the limiting problem....
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-03-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022088?viewType=HTML |
| _version_ | 1797990893641269248 |
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| author | Léo Girardin Danielle Hilhorst |
| author_facet | Léo Girardin Danielle Hilhorst |
| author_sort | Léo Girardin |
| collection | DOAJ |
| description | The paper is concerned with a singular limit for the bistable traveling wave problem in a very large class of two-species fully nonlinear parabolic systems with competitive reaction terms. Assuming existence of traveling waves and enough compactness, we derive and characterize the limiting problem. The assumptions and results are discussed in detail. The free boundary problem obtained at the limit is specified for important applications. |
| first_indexed | 2024-04-11T08:42:39Z |
| format | Article |
| id | doaj.art-f6a13028768e45f5b75eb71927939886 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-11T08:42:39Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-f6a13028768e45f5b75eb719279398862022-12-22T04:34:07ZengAIMS PressElectronic Research Archive2688-15942022-03-013051748177310.3934/era.2022088Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive systemLéo Girardin0Danielle Hilhorst 11. Institut Camille Jordan, Université Claude Bernard Lyon-1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France2. Université Paris-Saclay, CNRS, Laboratoire de Mathématiques d'Orsay, 91405 Orsay Cedex, FranceThe paper is concerned with a singular limit for the bistable traveling wave problem in a very large class of two-species fully nonlinear parabolic systems with competitive reaction terms. Assuming existence of traveling waves and enough compactness, we derive and characterize the limiting problem. The assumptions and results are discussed in detail. The free boundary problem obtained at the limit is specified for important applications.https://www.aimspress.com/article/doi/10.3934/era.2022088?viewType=HTMLlotka–volterratraveling wavebistabilitynonlinear diffusionnonlinear advection |
| spellingShingle | Léo Girardin Danielle Hilhorst Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system Electronic Research Archive lotka–volterra traveling wave bistability nonlinear diffusion nonlinear advection |
| title | Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system |
| title_full | Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system |
| title_fullStr | Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system |
| title_full_unstemmed | Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system |
| title_short | Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system |
| title_sort | spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system |
| topic | lotka–volterra traveling wave bistability nonlinear diffusion nonlinear advection |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022088?viewType=HTML |
| work_keys_str_mv | AT leogirardin spatialsegregationlimitoftravelingwavesolutionsforafullynonlinearstronglycoupledcompetitivesystem AT daniellehilhorst spatialsegregationlimitoftravelingwavesolutionsforafullynonlinearstronglycoupledcompetitivesystem |