Bounded Solutions of Ideal MHD with Compact Support in Space-Time
Finna-arvio
Bounded Solutions of Ideal MHD with Compact Support in Space-Time
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.
Tallennettuna:
Kieli |
englanti |
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Sarja | Archive for Rational Mechanics and Analysis |
ISSN |
0003-9527 1432-0673 |
DOI | 10.1007/s00205-020-01570-y |