1 citations · 2 across the 13 of their papers we have counts for
5 papers · 1 filter
Quantum Landau Damping with Coulomb Repulsion in the Whole Space
Dongfen Bian, Emmanuel Grenier, Laurent Laflèche +1
In this paper, we study the large time behavior of solutions to the linearized Hartree equation near a stable equilibrium which is homogeneous in space and investigate the quantum…
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…
Subcritical bifurcations of shear flows
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 incompressible Navier-Stokes equations if the viscosity is small enough, provided the hor…
Stability and instability of small BGK waves
Dongfen Bian, Emmanuel Grenier, Wenrui Huang +1
The aim of this article is to prove that the linear stability or instability of small Bernstein-Green-Kruskal (BGK) waves is determined by the sign of the derivative of their energ…
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…