108 citations · 399 across the 26 of their papers we have counts for
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math.AP2005
The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity
Roman Shvydkoy, Susan Friedlander
A general class of linear advective PDEs, whose leading order term is of viscous dissipative type, is considered. It is proved that beyond the limit of the essential spectrum of th…
math.AP2005★ 35 cited
Nonlinear instability for the Navier-Stokes equations
Susan Friedlander, Nataša Pavlović, Roman Shvydkoy
It is proved, using a bootstrap argument, that linear instability implies nonlinear instability for the incompressible Navier-Stokes equations in for all a…