@article{b8b54eb076d4492d9cdeeadfefb3998c,
title = "Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications",
abstract = "We describe a method to construct smooth and compactly supported solutions of 3D incompressible Euler equations and related models. The method is based on localizable Grad–Shafranov equations and is inspired by the recent result (Gavrilov in A steady Euler flow with compact support. Geom Funct Anal 29(1):90–197, [Gav19]).",
keywords = "Euler equations, Grad–Shafranov, MHD equilibrium",
author = "Peter Constantin and Joonhyun La and Vlad Vicol",
note = "Funding Information: The work of PC was partially supported by NSF grant DMS-1713985 and by the Simons Center for Hidden Symmetries and Fusion Energy. JL was partially supported by a Samsung Fellowship. VV was partially supported by NSF Grant DMS-1652134. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Funding Information: The work of PC was partially supported by NSF grant DMS-1713985 and by the Simons Center for Hidden Symmetries and Fusion Energy. JL was partially supported by a Samsung Fellowship. VV was partially supported by NSF Grant DMS-1652134. Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",
year = "2019",
month = dec,
day = "1",
doi = "10.1007/s00039-019-00516-1",
language = "English (US)",
volume = "29",
pages = "1773--1793",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkhauser Verlag Basel",
number = "6",
}