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arXiv · 1506.01383

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

Diego Marcon·Wilberclay G. Melo·Lineia Schutz·Juliana S. Ziebell
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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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Diego Marcon, Wilberclay G. Melo, Lineia Schutz, Juliana S. Ziebell. 2015-06-03. On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces. https://arxiv.org/abs/1506.01383

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