Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system
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 $l > 0$.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Navier-Stokes equation solutions
Nonlinear Dynamics and Pattern Formation
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 8 January 2026
- Language
- EN
- Document type
- Preprint