Local well‐posedness of the Hall‐MHD system in Hs(Rn) with s>n2

Mimi Dai

Mathematische Nachrichten, 2020, vol. 293, issue 1, 67-78

Abstract: We establish local well‐posedness of the Hall‐magneto‐hydrodynamics (Hall‐MHD) system in the Sobolev space (Hs(Rn))2 with s>n2, n≥2. The previously known local well‐posedness Sobolev space was (Hs(Rn))2 with s>n2+1. Thus the result presented here is an improvement. Moreover, we show that the solution of the Hall‐MHD system in the space (Hs(Rn))2 with s>n2 converges to a solution of the MHD system when the Hall effect coefficient goes to zero.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.201800107

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:1:p:67-78

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().