The Strange Eigenmode in Lagrangian Coordinates
Chaotic Dynamics
2007-12-12 v2 Fluid Dynamics
Abstract
For a distribution advected by a simple chaotic map with diffusion, the "strange eigenmode" is investigated from the Lagrangian (material) viewpoint and compared to its Eulerian (spatial) counterpart. The eigenmode embodies the balance between diffusion and exponential stretching by a chaotic flow. It is not strictly an eigenmode in Lagrangian coordinates, because its spectrum is rescaled exponentially rapidly.
Cite
@article{arxiv.nlin/0403027,
title = {The Strange Eigenmode in Lagrangian Coordinates},
author = {Jean-Luc Thiffeault},
journal= {arXiv preprint arXiv:nlin/0403027},
year = {2007}
}
Comments
15 pages, 6 figures. RevTeX4 format with psfrag