A harmonic maps approach to fluid flows
Mathematical Physics
2016-04-12 v1 Complex Variables
math.MP
Abstract
We obtain a complete solution to the problem of classifying all two-dimensional ideal fluid flows with harmonic Lagrangian labelling maps; thus, we explicitly provide all solutions, with the specified structural property, to the incompressible two-dimensional Euler equations (in Lagrangian variables).
Cite
@article{arxiv.1604.02637,
title = {A harmonic maps approach to fluid flows},
author = {Olivia Constantin and María Martín},
journal= {arXiv preprint arXiv:1604.02637},
year = {2016}
}