91 citations · 143 across the 14 of their papers we have counts for
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math.AP2014
Spectral stability of Prandtl boundary layers: an overview
Emmanuel Grenier, Yan Guo, Toan T. Nguyen
In this paper we show how the stability of Prandtl boundary layers is linked to the stability of shear flows in the incompressible Navier Stokes equations. We then recall classical…
math.AP2014★ 91 cited
Spectral instability of characteristic boundary layer flows
Emmanuel Grenier, Yan Guo, Toan T. Nguyen
In this paper, we construct growing modes of the linearized Navier-Stokes equations about generic stationary shear flows of the boundary layer type in a regime of sufficiently larg…
math.AP2014★ 24 cited
Spectral instability of symmetric shear flows in a two-dimensional channel
Emmanuel Grenier, Yan Guo, Toan Nguyen
This paper concerns spectral instability of shear flows in the incompressible Navier-Stokes equations with sufficiently large Reynolds number: . It is well-documented…