7 citations · 19 across the 7 of their papers we have counts for
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math.AP2015
Time-averages of Fast Oscillatory Systems in Three-dimensional Geophysical Fluid Dynamics and Electromagnetic Effects
Bin Cheng, Alex Mahalov
Time-averages are common observables in analysis of experimental data and numerical simulations of physical systems. We will investigate, from the angle of partial differential equ…
math.AP2011★ 5 cited
Euler equations on a fast rotating sphere --- time-averages and zonal flows
Bin Cheng, Alex Mahalov
Motivated by recent studies in geophysical and planetary sciences, we investigate the PDE-analytical aspects of time-averages for barotropic, inviscid flows on a fast rotating sphe…
math.AP2007★ 1 cited
Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains
François Golse, Alex Mahalov, Basil Nicolaenko
A class of three-dimensional initial data characterized by uniformly large vorticity is considered for the Euler equations of incompressible fluids. The fast singular oscillating l…