Fefferman, Charles L., McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2014) Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Journal of Functional Analysis, Volume 267 (Number 4). pp. 1035-1056. doi:10.1016/j.jfa.2014.03.021 ISSN 0022-1236.
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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].
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics |
| Journal or Publication Title: | Journal of Functional Analysis |
| Publisher: | Academic Press |
| ISSN: | 0022-1236 |
| Official Date: | 15 August 2014 |
| Dates: | Date Event 15 August 2014 Published 24 April 2014 Available 28 March 2014 Accepted 24 January 2014 Submitted |
| Volume: | Volume 267 |
| Number: | Number 4 |
| Page Range: | pp. 1035-1056 |
| DOI: | 10.1016/j.jfa.2014.03.021 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | https://wrap.warwick.ac.uk/68776/ |
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