9 citations · 16 across the 32 of their papers we have counts for
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math.AP2022
Onset of nonlinear instabilities in monotonic viscous boundary layers
Dongfen Bian, Emmanuel Grenier
In this paper we study the nonlinear stability of a shear layer profile for Navier Stokes equations near a boundary. This question plays a major role in the study of the inviscid l…
math.AP2022
Long waves instabilities
Dongfen Bian, Emmanuel Grenier
The aim of this paper is to give a detailed presentation of long wave instabilities of shear layers for Navier Stokes equations, and in particular to give a simple and easy to read…
math.AP2022★ 1 cited
Stability threshold for 2D shear flows near Couette of the Navier-Stokes equation
Dongfen Bian, Xueke Pu
In this paper, we consider the stability threshold of the 2D shear flow of the Navier-Stokes equation at high Reynolds number . When the shear flow is near in…