GLOBAL SOLUTION FOR THE INCOMPRESSIBLE MHD EQUATIONS WITH A CLASS OF LARGE DATA IN <inline-formula><tex-math id="M1">$ BMO^{-1}(\mathbb{R}^3) $</tex-math></inline-formula>

In [<span class="xref"><a href="#b12" ref-type="bibr">12</a></span>], Koch &amp; Tataru have proved the global well-posedness of the Navier-Stokes equations with small initial data $ u_0 \in BMO^{-1}(\mathbb{R}^n) $, and then the spatial and time analyticity of the Koch &amp; Tataru solution have been presented by Germain-Pavlovć-Stffilani [<span class="xref"><a href="#b9" ref-type="bibr">9</a></span>] and the first author [<span class="xref"><a href="#b3" ref-type="bibr">3</a></span>] when the initial data $ u_0 \in BMO^{-1}(\mathbb{R}^n) $ small enough. Subsequently, the similar results for the incompressible MHD equations have been studied by the first author [<span class="xref"><a href="#b4" ref-type="bibr">4</a></span>] for $ (u_0,b_0)\in BMO^{-1}(\mathbb{R}^n) $ small enough. In this paper, we shall prove the global well-posedness for the incompressible MHD equations with a class of large data $ (u_0,b_0)\in BMO^{-1}(\mathbb{R}^n) $. Besides, the space-time regularities also have been proved.