417 citations · 3.5k across the 97 of their papers we have counts for
7 papers · 2 filters
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…
Energy dissipation in body-forced plane shear flow
Charles R. Doering, Bruno Eckhardt, Joerg Schumacher
We study the problem of body-force driven shear flows in a plane channel of width l with free-slip boundaries. A mini-max variational problem for upper bounds on the bulk time aver…
Asymmetric time correlations in turbulent shear flows
Bruno Eckhardt, Arne Jachens, Jörg Schumacher
Cross correlations between normal and downstream velocity fluctuations in a turbulent shear flow are shown to carry information about the non-normal amplification process. The crea…
Noise Correlations in Shear Flows
Bruno Eckhardt, Rahul Pandit
We consider the effects of a shear on velocity fluctuations in a flow. The shear gives rise to a transient amplification that not only influences the amplitude of perturbations but…
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…
Passive fields and particles in chaotic flows
Bruno Eckhardt, Erwan Hascoet, Wolfgang Braun
Two examples for the interplay between chaotic dynamics and stochastic forces within hydrodynamical systems are considered. The first case concerns the relaxation to equilibrium of…