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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.04894 |
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| _version_ | 1866918278177226752 |
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| author | Bouton, Hector |
| author_facet | Bouton, Hector |
| contents | We consider the fast-reaction approximation to the triangular Shigesada-Kawasaki-Teramoto model on a bounded domain in the physical dimension $d\le 3$. We provide explicit convergence rates on the whole domain in $\textnormal{L}^\infty\textnormal{L}^2\cap\textnormal{L}^2\textnormal{H}^1$ and in the interior we prove convergence with an explicit rate in any $\textnormal{L}^\infty\textnormal{H}^l$ for all $l > 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system Bouton, Hector Analysis of PDEs We consider the fast-reaction approximation to the triangular Shigesada-Kawasaki-Teramoto model on a bounded domain in the physical dimension $d\le 3$. We provide explicit convergence rates on the whole domain in $\textnormal{L}^\infty\textnormal{L}^2\cap\textnormal{L}^2\textnormal{H}^1$ and in the interior we prove convergence with an explicit rate in any $\textnormal{L}^\infty\textnormal{H}^l$ for all $l > 0$. |
| title | Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.04894 |