417 citations · 669 across the 4 of their papers we have counts for
4 papers
Sensitive dependence on initial conditions in transition to turbulence in pipe flow
Holger Faisst, Bruno Eckhardt
The experiments by Darbyshire and Mullin (J. Fluid Mech. 289, 83 (1995)) on the transition to turbulence in pipe flow show that there is no sharp border between initial conditions…
Lifetimes of noisy repellors
H. Faisst, B. Eckhardt
We study the effects of additive noise on the lifetimes of chaotic repellors. Using first order perturbation theory we argue that noise will increase the lifetime if the escape hol…
Travelling waves in pipe flow
H. Faisst, B. Eckhardt
A family of three-dimensional travelling waves for flow through a pipe of circular cross section is identified. The travelling waves are dominated by pairs of downstream vortices a…
Transition from the Couette-Taylor system to the plane Couette system
Holger Faisst, Bruno Eckhardt
We discuss the flow between concentric rotating cylinders in the limit of large radii where the system approaches plane Couette flow. We discuss how in this limit the linear instab…