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Abstract <p> The paper considers a model nonlinear system of equations consisting of two parabolic equations and one elliptic equation. Conditions for the existence of a nonextendable solution and a time-global solution of the corresponding Cauchy problem are obtained. </p>

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On the Global Solvability in Time of a System of Equations of an Ambipolar Diffusion with Heating

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • M. O. Korpusov,
  • A. A. Panin

摘要

Abstract

The paper considers a model nonlinear system of equations consisting of two parabolic equations and one elliptic equation. Conditions for the existence of a nonextendable solution and a time-global solution of the corresponding Cauchy problem are obtained.