Regularity criteria for weak solutions to 3D non-Newtonian fluid equations of MHD type

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2026-05-25 DOI:10.21136/AM.2026.0164-25

Jae-Myoung Kim

引用次数: 0

Abstract

We investigate regularity criteria for weak solutions to the three-dimensional non-Newtonian MHD-type system for \({11\over{5}}\leqslant q<{5\over{2}}\) under a sufficient condition involving only the magnetic field. In addition, weak-strong uniqueness in ℝ³ is established for \(q\geqslant{5\over{2}}\).

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MHD型三维非牛顿流体方程弱解的正则性判据

研究了三维非牛顿mhd型系统\({11\over{5}}\leqslant q<{5\over{2}}\)在仅涉及磁场的充分条件下弱解的正则性判据。此外，还建立了\(q\geqslant{5\over{2}}\)在0 - 3中的弱-强唯一性。

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.