46 citations · 49 across the 5 of their papers we have counts for
Showing 2001 · math.APShow all
3 papers · 2 filters
math.AP2001
On the critical dissipative quasi-geostrophic equation
P. Constantin, D. Cordoba, J. Wu
The 2D quasi-geostrophic (QG) equation is a two dimensional model of the 3D incompressible Euler equations. When dissipation is included in the model then solutions always exist if…
math.AP2001
Scalars convected by a 2D incompressible flow
Diego Cordoba, Charles Fefferman
We provide a test for numerical simulations, for several two dimensional incompressible flows, that appear to develop sharp fronts. We show that in order to have a front the veloci…
math.AP2001
Growth of solutions for QG and 2D Euler equations
Diego Cordoba, Charles Fefferman
We study the rate of growth of sharp fronts of the Quasi-geostrophic equation and 2D incompressible Euler equations.. The development of sharp fronts are due to a mechanism that pi…