Abstract
In this article, we consider the ideal magnetic Benard problem in both two and three dimensions and prove the existence and uniqueness of strong local-in-time solutions, in Hs for s > (n/2)+1, n = 2,3. In addition, a necessary condition is derived for singularity development with respect to the BMO-norm of the vorticity and electrical current, generalizing the Beale-Kato-Majda condition for ideal hydrodynamics. For more information see https://ejde.math.txstate.edu/Volumes/2020/91/abstr.html
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