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arXiv · 2601.04894

Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system

Hector Bouton
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Abstract

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 $l > 0$.

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Hector Bouton. 2026-01-08. Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system. https://arxiv.org/abs/2601.04894

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