1 citations · 2 across the 13 of their papers we have counts for
4 papers · 1 filter
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.…
Singularities of Rayleigh equation
Dongfen Bian, Emmanuel Grenier
The Rayleigh equation, which is the linearized Euler equations near a shear flow in vorticity formulation, is a key ingredient in the study of the long time behavior of solutions o…
Asymptotic behavior of solutions of the linearized Euler equations near a shear layer
Dongfen Bian, Emmanuel Grenier
In this article, thanks to a new and detailed study of the Green's function of Rayleigh equation near the extrema of the velocity of a shear layer, we obtain optimal bounds on the…
Instability of shear layers and Prandtl's boundary layers
Dongfen Bian, Emmanuel Grenier
This paper is devoted to the study of the nonlinear instability of shear layers and of Prandtl's boundary layers, for the incompressible Navier Stokes equations. We prove that gene…