89 citations · 454 across the 43 of their papers we have counts for
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math.AP2012★ 7 cited
Finite-time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics
Chongsheng Cao, Slim Ibrahim, Kenji Nakanishi +1
In an earlier work we have shown the global (for all initial data and all time) well-posedness of strong solutions to the three-dimensional viscous primitive equations of large sca…
math.AP2012★ 2 cited
Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systems
Ciprian Foias, Michael S. Jolly, Rostyslav Kravchenko +1
The determining modes for the two-dimensional incompressible Navier-Stokes equations (NSE) are shown to satisfy an ordinary differential equation of the form , in the B…