81 citations · 474 across the 25 of their papers we have counts for
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nlin.CD2017★ 9 cited
The role of BKM-type theorems in Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis
John D. Gibbon, Anupam Gupta, Nairita Pal +1
The Beale-Kato-Majda theorem contains a single criterion that controls the behaviour of solutions of the incompressible Euler equations. Versions of this theorem are discussed…
nlin.CD2014★ 22 cited
Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations
John D. Gibbon, Diego A. Donzis, Anupam Gupta +3
The periodic Navier-Stokes equations are analyzed in terms of dimensionless, scaled, -norms of vorticity (). The first in this hierarchy, $D…
nlin.CD2013★ 29 cited
Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations
D. Donzis, J. D. Gibbon, A. Gupta +3
The issue of intermittency in numerical solutions of the 3D Navier-Stokes equations on a periodic box is addressed through four sets of numerical simulations that cal…