Global existence and uniqueness of weak solutions of a Stokes-Magneto system with fractional diffusions

Hyunseok Kim, Hyunwoo Kwon

We consider a Stokes-Magneto system in ${\mathbb{R}}^d$ ($d\ge 2$) with fractional diffusions ${\Lambda }^{2\alpha }\mathbf{u}$ and ${\Lambda }^{2\beta }\mathbf{b}$ for the velocity $\mathbf{u}$ and…