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

Zachary Bradshaw

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arXiv · 1204.4493

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

Zachary Bradshaw

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Abstract

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.

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Zachary Bradshaw. 2012-04-19. A geometric measure-type regularity criterion for solutions to the magnetohydrodynamical system. https://arxiv.org/abs/1204.4493

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