Snakes and ladders: localized solutions of plane Couette flow
Fluid Dynamics
2015-05-14 v1 Dynamical Systems
Pattern Formation and Solitons
Abstract
We demonstrate the existence of a large number of exact solutions of plane Couette flow, which share the topology of known periodic solutions but are localized in space. Solutions of different size are organized in a snakes-and-ladders structure strikingly similar to that observed for simpler pattern-forming PDE systems. These new solutions are a step towards extending the dynamical systems view of transitional turbulence to spatially extended flows.
Keywords
Cite
@article{arxiv.0912.2739,
title = {Snakes and ladders: localized solutions of plane Couette flow},
author = {Tobias M. Schneider and John F. Gibson and John Burke},
journal= {arXiv preprint arXiv:0912.2739},
year = {2015}
}
Comments
submitted to Physics Review Letters