A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces. (29th August 2021)

• Record Type: Journal Article
• Authors: LI, TianLi; Wang, Wen; Liu, Lei
• Other Names: Scapellato Andrea Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-08-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/4227796
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Regularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u, b is regular on 0, T, which is provided for the scalar pressure field π in the Besov spaces.