Bounded Solutions of Ideal MHD with Compact Support in Space-Time

Daniel Faraco, Sauli Lindberg, László Székelyhidi*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

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.

Original languageEnglish
JournalArchive for Rational Mechanics and Analysis
DOIs
Publication statusE-pub ahead of print - 1 Jan 2020
MoE publication typeA1 Journal article-refereed

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