5 papers
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…
The dispersion relation of Tollmien-Schlichting waves
Dongfen Bian, Shouyi Dai, Emmanuel Grenier
It is well-known that shear flows in a strip or in the half plane are unstable for the Navier-Stokes equations if the viscosity is small enough, provided the horizontal wave nu…
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-…
Landau damping in mixed hyperbolic-kinetic systems and thick sprays
D. Bian, B. Després, V. Fournet +1
This article is devoted to the study of a model of thick sprays which combines the Vlasov equation for the particles and the barotropic compressible Euler equations to describe the…
Boundary driven instabilities of Couette flows
Dongfen Bian, Emmanuel Grenier, Nader Masmoudi +1
In this article, we prove that the threshold of instability of the classical Couette flow in for large is . The instability is completely driven by the boundary.…