3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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-…