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<p>In this paper, we consider the process of the formation of the front-type solution in the reaction-diffusion equation in the case of spatially inhomogeneous nonlinear diffusion. We formulate sufficient conditions that ensure the formation of a sharp inner transition layer (front) in a neighborhood of a certain point and obtain estimates for the duration of the transition process.</p>

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FRONT FORMATION IN THE REACTION-DIFFUSION PROBLEM WITH NONLINEAR DIFFUSION

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • A. R. Makhmudov,
  • A. O. Orlov,
  • V. T. Volkov

摘要

In this paper, we consider the process of the formation of the front-type solution in the reaction-diffusion equation in the case of spatially inhomogeneous nonlinear diffusion. We formulate sufficient conditions that ensure the formation of a sharp inner transition layer (front) in a neighborhood of a certain point and obtain estimates for the duration of the transition process.