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On the Blow-Up of the Solution of a Nonlinear System of Equations of a Thermal-Electrical Model.
- Source :
-
Mathematical Notes . Dec2023, Vol. 114 Issue 5/6, p850-861. 12p. - Publication Year :
- 2023
-
Abstract
- In this paper, we propose a system of nonlinear equations for the electric field potential and temperature, which describes the process of heating the semiconductor elements of an electrical board followed by thermal breakdown. For this system of equations, we prove the existence of a classical solution that is not extendable in time and also obtain sufficient conditions for the solution to blow up in finite time. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 114
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 176032615
- Full Text :
- https://doi.org/10.1134/S0001434623110202