关于$$(1+1)$$维热-电模型解的膨胀问题

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

Theoretical and Mathematical Physics Pub Date : 2024-05-24 DOI:10.1134/S0040577924050040

M. V. Artemeva, M. O. Korpusov

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引用次数: 0

摘要

我们考虑了一个电场中半导体加热的（(1+1)\）维热电模型。对于相应的初界值问题，我们证明了一个在时间上无法继续的经典解的存在，并获得了该解在有限时间内炸毁的充分条件。

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

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.

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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.