各向异性Orlicz-Sobolev空间中强非线性耦合系统解的存在性及其数值逼近

IF 1 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2022-12-21 DOI:10.58997/ejde.2022.84

F. Ortegón Gallego, Hakima Ouyahya, M. Rhoudaf

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引用次数: 0

摘要

研究了各向异性Orlicz-Sobolev空间中非线性椭圆耦合系统容量解的存在性。未知的是半导体材料内部的温度和电势。该系统可以被认为是稳态热敏电阻问题的推广。数值解也通过最小二乘法结合共轭梯度技术进行了分析。

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Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces

We study the existence of a capacity solution for a nonlinear elliptic coupled system in anisotropic Orlicz-Sobolev spaces. The unknowns are the temperature inside a semiconductor material, and the electric potential. This system may be considered as a generalization of the steady-state thermistor problem. The numerical solution is also analyzed by means of the least squares method in combination with a conjugate gradient technique.

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.