On the existence of a nonextendable solution of the Cauchy problem for a \((3+1)\)-dimensional thermal–electrical model

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2024年12月25日

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M. V. Artemeva,
M. O. Korpusov

摘要

Abstract

A thermal–electrical \((3+1)\) -dimensional model of heating a semiconductor in an electric field is considered. For the corresponding Cauchy problem, the existence of a classical solution nonextendable in time is proved and an a priori estimate global in time is obtained.