This paper devotes to establish an improved regularity criterion for weak solution of 3D incompressible MHD equations. We show that the weak solution is regular, provided that ∫₀^{T}((‖(⋅,t)‖_{B_{∞,∞}⁻¹}²)/((e+ln(e+‖(⋅,t)‖_{B_{∞,∞}⁻¹}))ln(e+ln(e+‖(⋅,t)‖_{B_{∞,∞}⁻¹})))) dt<∞. As a consequence, this improves some previous works.
A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations
Maria Alessandra Ragusa
2021-01-01
Abstract
This paper devotes to establish an improved regularity criterion for weak solution of 3D incompressible MHD equations. We show that the weak solution is regular, provided that ∫₀^{T}((‖(⋅,t)‖_{B_{∞,∞}⁻¹}²)/((e+ln(e+‖(⋅,t)‖_{B_{∞,∞}⁻¹}))ln(e+ln(e+‖(⋅,t)‖_{B_{∞,∞}⁻¹})))) dt<∞. As a consequence, this improves some previous works.File in questo prodotto:
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