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Medientyp:
E-Artikel
Titel:
Bounded Solutions of Ideal MHD with Compact Support in Space-Time
Beteiligte:
Faraco, Daniel;
Lindberg, Sauli;
Székelyhidi, László
Erschienen:
Springer Science and Business Media LLC, 2021
Erschienen in:Archive for Rational Mechanics and Analysis
Sprache:
Englisch
DOI:
10.1007/s00205-020-01570-y
ISSN:
0003-9527;
1432-0673
Entstehung:
Anmerkungen:
Beschreibung:
<jats:title>Abstract</jats:title><jats:p>We show that in 3-dimensional ideal magnetohydrodynamics there exist infinitely many bounded solutions that are compactly supported in space-time and have non-trivial velocity and magnetic fields. The solutions violate conservation of total energy and cross helicity, but preserve magnetic helicity. For the 2-dimensional case we show that, in contrast, no nontrivial compactly supported solutions exist in the energy space.</jats:p>