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Higher order commutator estimates and local existence for the non-resistive MHD equations and related models

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posted on 2023-06-09, 00:16 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 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 & Ponce (Comm. Pure Appl. Math. 41(7), 891–907, 1988).

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Functional Analysis

ISSN

0022-1236

Publisher

Elsevier

Issue

4

Volume

267

Page range

1035-1056

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

2017-01-12

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