44 citations · 88 across the 4 of their papers we have counts for
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The vanishing viscosity limit for a dyadic model
Alexey Cheskidov, Susan Friedlander
A dyadic shell model for the Navier-Stokes equations is studied in the context of turbulence. The model is an infinite nonlinearly coupled system of ODEs. It is proved that the uni…
An inviscid dyadic model of turbulence: the global attractor
Alexey Cheskidov, Susan Friedlander, Natasa Pavlović
Properties of an infinite system of nonlinearly coupled ordinary differential equations are discussed. This system models some properties present in the equations of motion for an…
An inviscid dyadic model of turbulence: the fixed point and Onsager's conjecture
Alexey Cheskidov, Susan Friedlander, Natasa Pavlović
Properties of an infinite system of nonlinearly coupled ordinary differential equations are discussed. This system models some properties present in the equations of motion for an…
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…