We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the natural scaling of the equations. Copyright © 2014 Springer Basel.
CitationFriedlander, S., & Suen, A. (2014). Hölder continuity of solutions to the kinematic dynamo equations. Journal of Mathematical Fluid Mechanics, 16(4), 691-700. doi: 10.1007/s00021-014-0174-5
- Regularity of solutions to parabolic equations
- Kinematic dynamo equations