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2017 Kinetic formulation of vortex vector fields
Pierre Bochard, Radu Ignat
Anal. PDE 10(3): 729-756 (2017). DOI: 10.2140/apde.2017.10.729

Abstract

This article focuses on gradient vector fields of unit Euclidean norm in N . The stream functions associated to such vector fields solve the eikonal equation and the prototype is given by the distance function to a closed set. We introduce a kinetic formulation that characterizes stream functions whose level sets are either spheres or hyperplanes in dimension N 3. Our main result proves that the kinetic formulation is a selection principle for the vortex vector field whose stream function is the distance function to a point.

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Pierre Bochard. Radu Ignat. "Kinetic formulation of vortex vector fields." Anal. PDE 10 (3) 729 - 756, 2017. https://doi.org/10.2140/apde.2017.10.729

Information

Received: 3 October 2016; Revised: 17 January 2017; Accepted: 20 February 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1364.35071
MathSciNet: MR3641885
Digital Object Identifier: 10.2140/apde.2017.10.729

Subjects:
Primary: 35F21
Secondary: 35B65, 35F20

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.10 • No. 3 • 2017
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