Capacity solutions for a degenerate pi(x)-Laplacian thermistor system with electrical conductivities

IF 0.7 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2025-04-04 DOI:10.21136/AM.2025.0220-24

Hichem Khelifi

引用次数: 0

Abstract

We establish the existence of a capacity solution for a degenerate anisotropic stationary system with variable exponents and electrical conductivity. The system is a generalization of the thermistor problem, addressing the interaction between temperature and electric potential within semiconductor material.

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具有电导率的退化pi(x)-拉普拉斯热敏电阻系统的容量解

建立了一类变指数变电导率退化各向异性平稳系统容量解的存在性。该系统是热敏电阻问题的推广，解决了半导体材料中温度和电势之间的相互作用。

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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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.