Tobias M. Schneider, John F. Gibson, John Burke
Published 2009-12-14Version 1
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.
Comments: submitted to Physics Review Letters
On the transition to turbulence of wall-bounded flows in general, and plane Couette flow in particular
On the decay of turbulence in plane Couette flow
Modeling the transition to turbulence in shear flows
![QR code for arXiv:0912.2739 [physics.flu-dyn]](http://oss.arxitics.com/images/favicon.svg)