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

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