71 citations · 329 across the 39 of their papers we have counts for
4 papers · 2 filters
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…
On global attractors of the 3D Navier-Stokes equations
Alexey Cheskidov, Ciprian Foias
In view of the possibility that the 3D Navier-Stokes equations (NSE) might not always have regular solutions, we introduce an abstract framework for studying the asymptotic behavio…
Blow-up in finite time for the dyadic model of the Navier-Stokes equations
Alexey Cheskidov
We study the dyadic model of the Navier-Stokes equations introduced by Katz and Pavlović. They showed a finite time blow-up in the case where the dissipation degree is less tha…