A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces | Zendy

TianLi Li | Zendy; Wen Wang | Zendy; Lei Liu | Zendy

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A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces

Author(s) -

TianLi Li,

Wen Wang,

Lei Liu

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/4227796

Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , scalar (mathematics) , compressibility , scalar field , mathematics , physics , magnetic field , mathematical physics , geometry , mechanics , quantum mechanics

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.

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