Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590308 | Journal of Functional Analysis | 2014 | 22 Pages |
Abstract
This paper establishes the local-in-time existence and uniqueness of strong solutions in HsHs for s>n/2s>n/2 to the viscous, non-resistive magnetohydrodynamics (MHD) equations in RnRn, n=2,3n=2,3, as well as for a related model where the advection terms are removed from the velocity equation. The uniform bounds required for proving existence are established by means of a new estimate, which is a partial generalisation of the commutator estimate of Kato and Ponce (1988) [13].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Charles L. Fefferman, David S. McCormick, James C. Robinson, Jose L. Rodrigo,