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A geometric measure-type regularity criterion for solutions to the magnetohydrodynamical system

Several formulations of a local geometric measure-type condition are imposed on super-level sets of mild solutions to the homogeneous incompressible 3D magnetohydrodynamical system with bounded initial data to prevent finite-time singularity formation. Supporting this, results regarding the existence, uniqueness, and real analyticity of mild solutions are established as is a sharp lower bound on the radius of analyticity.

preprint2012arXivOpen access
Zachary Bradshaw
math.AP
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Zachary Bradshaw

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