On the Existence of a Nonextendable Solution of the Cauchy problem for a \((1+1)\)-Dimensional Thermal-Electrical Model

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发表日期：

2024年6月1日

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M. V. Artem’eva,
M. O. Korpusov

摘要

Abstract

We consider one thermal-electrical \((1+1)\) -dimensional model of heating a semiconductor in an electric field. For the corresponding Cauchy problem, we prove the existence of a classical solution nonextendable in time and obtain a global-in-time a priori estimate.