| Abstract: |
| In this talk we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in $H^s(\mathbb{R}^3)$ $(\frac{3}{2}< s\leq\frac{5}{2})$, and then we prove that the local solution is global when the initial data is small enough. |
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