Remarks on the uniqueness of weak solution for the 3D viscous magneto-hydrodynamics equations in $${B^{1}_{\infty,\infty}}$$ B ∞ , ∞ 1

Abstract

A uniqueness result of weak solution for the 3D viscous magneto-hydrodynamics equations in \({B^1_{\infty,\infty}}\) is proved by means of the Fourier localization technique and the losing derivative estimates.