Weak solutions of ideal MHD which do not conserve magnetic helicity

We construct weak solutions to the ideal magneto-hydrodynamic (MHD) equations which have finite total energy, and whose magnetic helicity is not a constant function of time. In view of Taylor's conjecture, this proves that there exist finite energy weak solutions to ideal MHD which cannot be at...

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Bibliographische Detailangaben

Hauptverfasser:	Beekie, Rajendra, Buckmaster, Tristan, Vicol, Vlad
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
Online-Zugang:	Volltext bestellen
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