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Media type:
E-Article
Title:
Bounded Solutions of Ideal MHD with Compact Support in Space-Time
Contributor:
Faraco, Daniel;
Lindberg, Sauli;
Székelyhidi, László
Published:
Springer Science and Business Media LLC, 2021
Published in:
Archive for Rational Mechanics and Analysis, 239 (2021) 1, Seite 51-93
Language:
English
DOI:
10.1007/s00205-020-01570-y
ISSN:
0003-9527;
1432-0673
Origination:
Footnote:
Description:
AbstractWe 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.