Lower bounds of solutions of the Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces

Resumo

In this paper, we obtain new lower bounds on the Homogeneous Sobolev–norms of the maximal solution of the Magnetohydrodynamics Equations. This gives us some insight on the blow-up behavior of the solution. We utilize standard techniques from the Navier–Stokes Equations.