二维理想MHD方程奇点形成的数值研究

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2025-01-29 DOI:10.1007/s10440-025-00710-4

Daisuke Hirata

引用次数: 0

摘要

本文用数值方法研究了理想MHD方程在二维环面上的正则性问题。用伪谱方法证明了某数值解在有限时间内是初始正则的，最终是非常奇异的。

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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A Numerical Study on Singularity Formation of the 2D Ideal MHD Equations

In this note, we study numerically the regularity issue of the ideal MHD equations on the two-dimensional torus. By pseudo-spectral method, we provide evidence that a certain numerical solution is initially regular and eventually very singular in finite time.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.