Abstract
This paper establishes the local-in-time existence and uniqueness of strong solutions in Hs for s>n/2 to the viscous, non-resistive magnetohydrodynamics (MHD) equations in Rn, n=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].
Original language | English (US) |
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Pages (from-to) | 1035-1056 |
Number of pages | 22 |
Journal | Journal of Functional Analysis |
Volume | 267 |
Issue number | 4 |
DOIs | |
State | Published - Aug 15 2014 |
All Science Journal Classification (ASJC) codes
- Analysis
Keywords
- Commutator estimates
- MHD
- Magnetohydrodynamics