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- Title
On the regularity of the axially symmetric solutions to the three-dimensional MHD equations.
- Authors
Jihui, Wu; Lei, Lu
- Abstract
We present the improved three-dimensional axially symmetric incompressible magnetohydrodynamics (MHD) equations with nonzero swirl. We consider three kinds of smooth axially symmetric particular solutions to the MHD equations: (1) u θ=0, B r= B z=0, (2) B r= B z=0, and (3) B θ=0. In particular, we derive new regularity criteria for these three kinds of the three-dimensional axially symmetric smooth solutions to the MHD equations. Our results also reveal some interesting dynamic behavior of the interaction by the angular vorticity field ω θ and the angular current density field j θ. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
MAGNETOHYDRODYNAMICS; SYMMETRY (Physics); INCOMPRESSIBLE flow; VORTEX motion; THREE-dimensional imaging; CURRENT density (Electromagnetism); FLUID dynamics
- Publication
Mathematical Methods in the Applied Sciences, 2016, Vol 39, Issue 4, p892
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3529