4 papers
Couette-Taylor instabilities in the small gap regime: the very counter-rotating case
Dongfen Bian, Gérard Iooss
In this paper, we study the Couette-Taylor instability of a viscous fluid between two rotating cylinders in the small-gap, slow rescaled rotation rate, high Reynolds number regime,…
Couette Taylor instabilities for counter-rotating cylinders in the small-gap regime
Dongfen Bian, Emmanuel Grenier, Gérard Iooss +1
We study the Couette Taylor instabilities for an incompressible viscous fluid between two coaxial cylinders of nearly equal radii, allowing counter-rotation with the ratio of rotat…
Couette Taylor instabilities in the small-gap regime
Dongfen Bian, Emmanuel Grenier, Gérard Iooss +1
The Couette-Taylor instability occurs in a viscous fluid confined between two coaxial rotating cylinders. When the Taylor number surpasses a critical value, the stable Couette flow…
Bifurcations of viscous boundary layers in the half space
Dongfen Bian, Emmanuel Grenier, Gérard Iooss
It is well-established that shear flows are linearly unstable provided the viscosity is small enough, when the horizontal Fourier wave number lies in some interval, between the so-…