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

Fefferman, Charles L; McCormick, David S; Robinson, James C; Rodrigo, Jose L

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

https://hdl.handle.net/10779/uos.23440022

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

External DOI

https://doi.org/10.1007/s00205-016-1042-7

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

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

Funding

Novel discretisations of higher-order nonlinear PDE; G1603; LEVERHULME TRUST; RPG-2015-069

History

Publication status

File Version

Journal

ISSN

Publisher

External DOI

Issue

Volume

Page range

Department affiliated with

Research groups affiliated with

Full text available

Peer reviewed?

Legacy Posted Date

First Open Access (FOA) Date

First Compliant Deposit (FCD) Date

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