44 citations · 91 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…
Energy conservation and Onsager's conjecture for the Euler equations
A. Cheskidov, P. Constantin, S. Friedlander +1
Onsager conjectured that weak solutions of the Euler equations for incompressible fluids in 3D conserve energy only if they have a certain minimal smoothness, (of order of 1/3 frac…
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…