Childress, S., Kerswell, R. and Gilbert, A. (2001) Bounds on Dissipation for Navier-Stokes Flow with Kolmogorov Forcing. Physica D: Nonlinear Phenomena, 158, 105-128.
https://doi.org/10.1016/S0167-2789(01)00320-7

has been cited by the following article:

• TITLE: Kolmogorov Flow: Seven Decades of History

  AUTHORS: Emmanouil D. Fylladitakis

  KEYWORDS: Kolmogorov Flow, Magnetohydrodynamics, Two-Dimensional Flows, Review

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.11, November 19, 2018

  ABSTRACT: The Kolmogorov flow (k-flow) is generated by a stationary sinusoidal force that varies in space. This flow is rather academic since generating such a periodic forcing in an unbounded flow is difficult to appear in nature. Nevertheless, it allows for simple experimental measurements and for a fairly detailed analytical treatment. Although simple, the k-flow makes a good test case for investigating simultaneously inhomogeneous, sheared, and anisotropic features in a flow, and several studies concerning the stability, transition, and turbulence of the k-flow have been published. The present article reviews the most important published works incorporating the k-flow as a test-bed for studying fluid mechanics, testing numerical or experimental methods, or even studying the properties of the k-flow itself.