3D incompressible Euler: Geometric formalism and a hypothetical self-similar flow
Analysis of PDEs
2014-07-21 v1 Fluid Dynamics
Abstract
We give a geometric formulation of 3D incompressible Euler that contains the Eulerian and Lagrangian gauges as special cases. In the Lagrangian gauge, incompressible Euler is a real analytic ODE in Banach space; a short proof of this known result is given. We then describe (in a self-contained section) some basic properties of a hypothetical self-similar solution to 3D incompressible Euler.
Keywords
Cite
@article{arxiv.1407.5047,
title = {3D incompressible Euler: Geometric formalism and a hypothetical self-similar flow},
author = {Michael Reiterer},
journal= {arXiv preprint arXiv:1407.5047},
year = {2014}
}
Comments
28 pages