Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.00391 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911787169873920 |
|---|---|
| author | Desvillettes, L Moussa, A |
| author_facet | Desvillettes, L Moussa, A |
| contents | This article focuses on a large family of cross-diffusion systems of the form $\partial$ t U-$Δ$A(U) = 0, in dimension d $\in$ N * , and where U $\in$ R 2. We show that under natural conditions on the nonlinearity A, those systems have a unique smooth (nonnegative for all components) solution when the initial data are small enough in a suitable norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00391 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbative global solutions of a large class of cross diffusion systems in any dimension Desvillettes, L Moussa, A Analysis of PDEs This article focuses on a large family of cross-diffusion systems of the form $\partial$ t U-$Δ$A(U) = 0, in dimension d $\in$ N * , and where U $\in$ R 2. We show that under natural conditions on the nonlinearity A, those systems have a unique smooth (nonnegative for all components) solution when the initial data are small enough in a suitable norm. |
| title | Perturbative global solutions of a large class of cross diffusion systems in any dimension |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.00391 |