Local Existence for the Non-Resistive MHD.pdf (424.1 kB)
Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
Version 2 2023-06-12, 08:36
Version 1 2023-06-09, 04:37
journal contribution
posted on 2023-06-12, 08:36 authored by Charles L Fefferman, David S McCormick, James C Robinson, Jose L RodrigoThis paper establishes the local-in-time existence and uniqueness of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations in Rd , where d = 2, 3, with initial data B0 ? Hs(Rd ) and u0 ? Hs-1+e(Rd ) for s > d/2 and any 0
Funding
Novel discretisations of higher-order nonlinear PDE; G1603; LEVERHULME TRUST; RPG-2015-069
History
Publication status
- Published
File Version
- Published version
Journal
Archive for Rational Mechanics and AnalysisISSN
0003-9527Publisher
Springer VerlagExternal DOI
Issue
2Volume
223Page range
677-691Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Numerical Analysis and Scientific Computing Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2017-01-12First Open Access (FOA) Date
2017-01-12First Compliant Deposit (FCD) Date
2017-01-11Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC