On the Regularity of Weak Solutions to the MHD System Near the Boundary

On the Regularity of Weak Solutions to the MHD System Near the Boundary

We obtain sufficient conditions of local regularity of suitable weak solutions to the MHD system for the points belonging to a C 3 -smooth part of the boundary. Our results are some generalization of the known Caffarelli–Kohn–Nirenberg condition for the Navier–Stokes equations.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical fluid mechanics 2014-12, Vol.16 (4), p.745-769
1. Verfasser: Vialov, V.
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Continuum Physics
Fluid- and Aerodynamics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain sufficient conditions of local regularity of suitable weak solutions to the MHD system for the points belonging to a C 3 -smooth part of the boundary. Our results are some generalization of the known Caffarelli–Kohn–Nirenberg condition for the Navier–Stokes equations.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-014-0184-3