|
|||||
 |
|
|
|
|
|
|
Kinetic formulation
of vortex vector fields
Pierre Bochard and Radu Ignat |
|
Vol. 10 (2017), No. 3, 729–756
|
Abstract |
|
This article focuses on gradient vector fields of unit Euclidean norm in . 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 . 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. |
Keywords
vortex, eikonal equation, characteristics, kinetic
formulation, level sets
|
Mathematical Subject Classification 2010
Primary: 35F21
Secondary: 35B65, 35F20
|
Milestones
Received: 3 October 2016
Revised: 17 January 2017
Accepted: 20 February 2017
Published: 17 April 2017
|
Authors |
| Pierre Bochard | |
| Département de Mathématiques Université Paris-Sud 11 91405 Orsay France |
|
| Radu Ignat | |
| Institut de Mathématiques de
Toulouse Université Paul Sabatier 31062 Toulouse France |
|
| © 2017 MSP (Mathematical Sciences Publishers). |
