关于\((3+1)\)维热电模型Cauchy问题不可扩展解的存在性

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI:10.1134/S0040577924120146

M. V. Artemeva, M. O. Korpusov

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引用次数: 0

摘要

考虑了在电场中加热半导体的热电\((3+1)\)维模型。对于相应的柯西问题，证明了经典解在时间上不可扩展的存在性，并得到了一个在时间上全局的先验估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.