On the blow-up of the solution of a \((1+1)\)-dimensional thermal–electrical model

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发表日期：

2024年5月24日

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M. V. Artemeva,
M. O. Korpusov

摘要

Abstract

We consider a \((1+1)\) -dimensional thermal–electrical model of semiconductor heating in an electric field. For the corresponding initial-boundary value problem, we prove the existence of a classical solution that cannot be continued in time and obtain sufficient conditions for the blow-up of the solution in a finite time.