1 citations · 1 across the 2 of their papers we have counts for
2 papers
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-ph2003★ 1 cited
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents
Roman Shvydkoy, Yuri Latushkin
The linear stability of a steady state solution of 2D Euler equations of an ideal fluid is being studied. We give an explicit geometric construction of approximate eigenfunctions f…