BMO and the regularity criterion for weak solutions to the magnetohydrodynamic equations

被引：13

作者：

Yun Wang ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 02期

关键词：

magnetohydrodynamic equations; regularity criteria;

D O I：

10.1016/j.jmaa.2006.05.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the regularity criterion for weak solutions to the incompressible magnetohydrodynamic equations. We derive the regularity of weak solutions in the marginal class. Moreover, our result demonstrates that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1082 / 1086

页数：5

共 50 条

[21] Partial regularity of solutions to the magnetohydrodynamic equations
Vyalov V.
[J]. Journal of Mathematical Sciences, 2008, 150 (1) : 1771 - 1786
[22] Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions
Tuoc Phan
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2018, 25 (02):
[23] A regularity criterion for the density-dependent magnetohydrodynamic equations
Zhou, Yong
Fan, Jishan
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (11) : 1350 - 1355
[24] Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions
Tuoc Phan
[J]. Nonlinear Differential Equations and Applications NoDEA, 2018, 25
[25] On the regularity of weak solutions of the MHD equations in BMO-1 and (<(B)over dot>)∞,∞-1
Wang, Yanqing
Yuan, Baoquan
Zhao, Jiefeng
Zhou, Daoguo
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (09)
[26] Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in BMO-1
Chol-Jun, O.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 59
[27] Extension criterion on regularity for weak solutions to the 3D MHD equations
Gala, Sadek
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (12) : 1496 - 1503
[28] ON A REGULARITY CRITERION UP TO THE BOUNDARY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
TAKAHASHI, S
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1992, 17 (1-2) : 261 - 285
[29] On Wolf’s Regularity Criterion of Suitable Weak Solutions to the Navier–Stokes Equations
Quansen Jiu
Yanqing Wang
Daoguo Zhou
[J]. Journal of Mathematical Fluid Mechanics, 2019, 21
[30] A Regularity Criterion in Weak Spaces to Boussinesq Equations
Agarwal, Ravi P.
Gala, Sadek
Ragusa, Maria Alessandra
[J]. MATHEMATICS, 2020, 8 (06)

← 1 2 3 4 5 →