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May 28, 2026Open Access

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

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Authors

HBHector BoutonLDLaurent DesvillettesHDHelge Dietert

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Overview

Short proof establishes existence, uniqueness, and smoothness in reaction-diffusion modeling chemical interactions.

Key Points

  • This work aims to prove the existence, uniqueness, and smoothness of solutions for a specific reaction-diffusion system.
  • Developed a concise proof for the reaction-diffusion equations defined in dimensions $d \leq 3$.
  • Considered the system where concentrations of four chemical species interact and diffuse within a bounded container.
  • Proved the existence of smooth solutions in the defined reaction-diffusion model.
  • Showed uniqueness of the solutions for the given system of equations.

Cite This Study

Bouton et al. (2026) studied this question.

synapsesocial.com/papers/6a17daf83fad632b0f9d7cdahttps://doi.org/10.48550/arxiv.2605.23709
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