44 citations · 111 across the 11 of their papers we have counts for
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Leray-alpha model and transition to turbulence in rough-wall boundary layers
Alexey Cheskidov, Diana Ma
In the present study, we use a fifth-order ordinary differential equation, a generalization of the Blasius equation derived from the Leray-alpha model, to examine the transition to…
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…
Global attractors of evolutionary systems
Alexey Cheskidov
An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system with respect to weak and strong topologies was introduced in [8] prima…
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…
Energy Dissipation in Fractal-Forced Flow
Alexey Cheskidov, Charles R. Doering, Nikola P. Petrov
The rate of energy dissipation in solutions of the body-forced 3-d incompressible Navier-Stokes equations is rigorously estimated with a focus on its dependence on the nature of th…