University of Sussex
Browse
Local Existence for the Non-Resistive MHD.pdf (424.1 kB)

Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces

Download (424.1 kB)
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 Rodrigo
This 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 Analysis

ISSN

0003-9527

Publisher

Springer Verlag

Issue

2

Volume

223

Page range

677-691

Department 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

2017-01-12

First Open Access (FOA) Date

2017-01-12

First Compliant Deposit (FCD) Date

2017-01-11

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC