Zach Bradshaw, UVa graduate student VCU alum
Geometric measure-type regularity criteria for the 3D 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 presented as is a sharp lower bound on the radius of analyticity.