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Abstract <p> The paper considers a system of two reaction-diffusion equations with diffusion coefficients differing by several orders of magnitude and discontinuous reactive terms. The existence, local uniqueness and Lyapunov asymptotic stability of a solution with an internal transition layer are established. The analysis is carried out using asymptotic method of differential inequalities. The obtained conditions for the existence of a stable solution determine the limits of applicability of model problems based on such systems of equations, in particular, for studying chemical transformations in the pore spaces of geological formations. </p>

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Internal Transition Layer in Reaction-Diffusion System in Bounded Domains

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • K.A. Kotsubinsky,
  • N.T. Levashova,
  • A.O. Orlov

摘要

Abstract

The paper considers a system of two reaction-diffusion equations with diffusion coefficients differing by several orders of magnitude and discontinuous reactive terms. The existence, local uniqueness and Lyapunov asymptotic stability of a solution with an internal transition layer are established. The analysis is carried out using asymptotic method of differential inequalities. The obtained conditions for the existence of a stable solution determine the limits of applicability of model problems based on such systems of equations, in particular, for studying chemical transformations in the pore spaces of geological formations.