热耦合无粘性、电阻磁流体动力学的 Voigt 规则化

IF 1.3 4区数学 Q1 MATHEMATICS

International Journal of Numerical Analysis and Modeling Pub Date : 2024-06-01 DOI:10.4208/ijnam2024-1019

Xingwei Yang,Pengzhan Huang, Yinnian He

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引用次数: 0

摘要

在本文中，我们证明了三维热耦合无粘性、阻力 MHD 方程的 Voigt 规则化弱解的存在性和强解的唯一性。我们还为所考虑的问题提出了一个完全离散的方案，该方案被证明是稳定和收敛的。所有计算结果都支持理论分析，并证明了所提出方案的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic

In this paper, we prove the existence of weak solution and the uniqueness of strong solution to a Voigt-regularization of the three-dimensional thermally coupled inviscid, resistive MHD equations. We also propose a fully discrete scheme for the considered problem, which is proven to be stable and convergent. All computational results support the theoretical analysis and demonstrate the effectiveness of the presented scheme.

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来源期刊

International Journal of Numerical Analysis and Modeling 数学-数学

CiteScore

2.10

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is directed to the broad spectrum of researchers in numerical methods throughout science and engineering, and publishes high quality original papers in all fields of numerical analysis and mathematical modeling including: numerical differential equations, scientific computing, linear algebra, control, optimization, and related areas of engineering and scientific applications. The journal welcomes the contribution of original developments of numerical methods, mathematical analysis leading to better understanding of the existing algorithms, and applications of numerical techniques to real engineering and scientific problems. Rigorous studies of the convergence of algorithms, their accuracy and stability, and their computational complexity are appropriate for this journal. Papers addressing new numerical algorithms and techniques, demonstrating the potential of some novel ideas, describing experiments involving new models and simulations for practical problems are also suitable topics for the journal. The journal welcomes survey articles which summarize state of art knowledge and present open problems of particular numerical techniques and mathematical models.