Study of a class of triangular starvation driven cross-diffusion systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909210041647104 |
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| author | Brocchieri, Elisabetta Desvillettes, Laurent Dietert, Helge |
| author_facet | Brocchieri, Elisabetta Desvillettes, Laurent Dietert, Helge |
| contents | We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven behavior for two species in competition. This study involves an equivalent system in non-divergence form, for which existence can be obtained thanks to Schauder's fixed point theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Study of a class of triangular starvation driven cross-diffusion systems Brocchieri, Elisabetta Desvillettes, Laurent Dietert, Helge Analysis of PDEs We study the existence, regularity and uniqueness for a general class of triangular reaction-cross-diffusion systems coming from the study of starvation driven behavior for two species in competition. This study involves an equivalent system in non-divergence form, for which existence can be obtained thanks to Schauder's fixed point theorem. |
| title | Study of a class of triangular starvation driven cross-diffusion systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.15457 |