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Abstract <p>The global solvability and local uniqueness of the solution of an inhomogeneous boundary value problem for a model of electron drift–diffusion in polar dielectrics are proved. The maximum-minimum principle for the charge density is established. The results of a finite-element implementation of a mathematical model of the charging of polar dielectrics under electron irradiation are presented and discussed.</p>

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Theoretical and Numerical Analysis of an Inhomogeneous Boundary Value Problem for a Stationary Electron Drift–Diffusion Model

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • R. V. Brizitskii,
  • N. N. Maksimova,
  • E. M. Veselova

摘要

Abstract

The global solvability and local uniqueness of the solution of an inhomogeneous boundary value problem for a model of electron drift–diffusion in polar dielectrics are proved. The maximum-minimum principle for the charge density is established. The results of a finite-element implementation of a mathematical model of the charging of polar dielectrics under electron irradiation are presented and discussed.