1 citations · 2 across the 4 of their papers we have counts for
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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.…
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…
Instabilities of shear layers
Dongfen Bian, Emmanuel Grenier
This article gathers notes of two lectures given at Grenoble's University in June , and is an introduction to recent works on shear layers, in collaboration with D. Bian, Y.…
Asymptotic behaviour of solutions of linearized Navier Stokes equations in the long waves regime
Dongfen Bian, Emmanuel Grenier
The aim of this paper is to describe the long time behavior of solutions of linearized Navier Stokes equations near a concave shear layer profile in the long waves regime, namely f…