Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications

Peter Constantin; Joonhyun La; Vlad Vicol

doi:10.1007/s00039-019-00516-1

Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications

Peter Constantin, Joonhyun La, Vlad Vicol

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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]).

Original language	English (US)
Pages (from-to)	1773-1793
Number of pages	21
Journal	Geometric and Functional Analysis
Volume	29
Issue number	6
DOIs	https://doi.org/10.1007/s00039-019-00516-1
State	Published - Dec 1 2019

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

Keywords

Euler equations
Grad–Shafranov
MHD equilibrium

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10.1007/s00039-019-00516-1

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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]).",

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Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. / Constantin, Peter; La, Joonhyun; Vicol, Vlad.
In: Geometric and Functional Analysis, Vol. 29, No. 6, 01.12.2019, p. 1773-1793.

Research output: Contribution to journal › Article › peer-review

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AU - Constantin, Peter

AU - La, Joonhyun

AU - Vicol, Vlad

PY - 2019/12/1

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N2 - 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]).

AB - 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]).

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KW - Grad–Shafranov

KW - MHD equilibrium

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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

All Science Journal Classification (ASJC) codes

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