Abstract <p> We consider a thermal–electrical <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2593_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\((3+1)\)</EquationSource> </InlineEquation>-dimensional model of semiconductor heating in an electric field. We prove the existence of a classical solution nonextendable in time for the corresponding Cauchy problem. </p>

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On the solvability of the Cauchy problem for a thermal–electrical model

  • M. V. Artemeva,
  • M. O. Korpusov,
  • A. A. Panin

摘要

Abstract

We consider a thermal–electrical \((3+1)\) -dimensional model of semiconductor heating in an electric field. We prove the existence of a classical solution nonextendable in time for the corresponding Cauchy problem.