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

Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László

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

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Title:	Bounded Solutions of Ideal MHD with Compact Support in Space-Time
Author(s):	Faraco, Daniel ; Lindberg, Sauli ; Székelyhidi, László
Date:	2021-01
Language:	en
Department:	Ramón y Cajal University Hospital Department of Mathematics and Systems Analysis Leipzig University
Series:	Archive for Rational Mechanics and Analysis
ISSN:	0003-9527 1432-0673
DOI-number:	10.1007/s00205-020-01570-y
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Citation: Faraco , D , Lindberg , S & Székelyhidi , L 2021 , ' Bounded Solutions of Ideal MHD with Compact Support in Space-Time ' , Archive for Rational Mechanics and Analysis , vol. 239 , no. 1 , pp. 51-93 . https://doi.org/10.1007/s00205-020-01570-y
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.

Description: \| openaire: EC/H2020/307179/EU//GFTIPFD
Permanent link to this item: http://urn.fi/URN:NBN:fi:aalto-202010165881 Email this Export to RefWorks QR Code Print BibTex Tweet