Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840404 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
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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Authors
Zachary Bradshaw,