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arXiv · 2605.23709

Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry

Hector Bouton·Laurent Desvillettes·Helge Dietert
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Abstract

We present in this work a very short proof for the existence, uniqueness and smoothness in dimensions $d\leq 3$ of the system of reaction diffusion $ \partial\_t a\_i - d\_i \Delta a\_i = (-1)^i (a\_1 a\_3 - a\_2 a\_4)$, where $a\_i \geq 0$ model the concentrations of chemical species undergoing a chemical reaction and diffusing (each with its diffusion rate $d\_i > 0$) in a bounded container.

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Hector Bouton, Laurent Desvillettes, Helge Dietert. 2026-05-22. Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry. https://arxiv.org/abs/2605.23709

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