A geometric measure-type regularity criterion for solutions to the magnetohydrodynamical system
Analysis of PDEs
2012-04-23 v1
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.
Cite
@article{arxiv.1204.4493,
title = {A geometric measure-type regularity criterion for solutions to the magnetohydrodynamical system},
author = {Zachary Bradshaw},
journal= {arXiv preprint arXiv:1204.4493},
year = {2012}
}