On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces
Abstract
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.
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