Quasilinear theory of the 2D Euler equation
Fluid Dynamics
2009-10-31 v2 Statistical Mechanics
Chaotic Dynamics
Abstract
We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel. We show under which hypothesis we can derive a H-theorem for the Fermi-Dirac entropy and make the connection with statistical theories of 2D turbulence.
Cite
@article{arxiv.physics/9911024,
title = {Quasilinear theory of the 2D Euler equation},
author = {Pierre-Henri Chavanis},
journal= {arXiv preprint arXiv:physics/9911024},
year = {2009}
}
Comments
4 pages