Well-posedness for the Incompressible Hall-MHD Equations in Low Regularity Spaces
In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in H s ( R 3 ) ( 3 2 < s ≤ 5 2 ) , and then we prove that the local solution is global when the initial data is small enough.
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| Veröffentlicht in: | Mediterranean journal of mathematics 2018-04, Vol.15 (2), p.1-14, Article 48 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in
H
s
(
R
3
)
(
3
2
<
s
≤
5
2
)
, and then we prove that the local solution is global when the initial data is small enough. |
|---|---|
| ISSN: | 1660-5446 1660-5454 |
| DOI: | 10.1007/s00009-018-1096-x |