On the solvability of the Cauchy problem for a thermal-electrical model

被引：0

作者：

Artemeva, M. V. ^{[1
,2
]}

Korpusov, M. O. ^{[1
,2
]}

Panin, A. A. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Phys, Moscow, Russia

[2] PeoplesFriendship Univ Russia, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2025年 / 222卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

nonlinear Sobolev-type equations; local solvability; nonlinear capacity; blow-up time estimates; BLOW-UP; NONLINEAR-SYSTEM; EQUATIONS;

D O I：

10.1134/S0040577925020011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a thermal-electrical \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(3+1)$$\end{document}-dimensional model of semiconductor heating in an electric field. We prove the existence of a classical solution nonextendable in time for the corresponding Cauchy problem.

引用

页码：183 / 197

页数：15

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