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Transport in Rotating Fluids
Peter Constantin
We consider uniformly rotating incompressible Euler and Navier-Stokes equations. We study the suppression of vertical gradients of Lagrangian displacement ("vertical" refers to the…
Near identity transformations for the Navier-Stokes equations
Peter Constantin
The Navier-Stokes equations and their various approximations can be described in terms of near identity maps, that are diffusive particle path transformations of physical space. Th…
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…
Navier-Stokes equations and fluid turbulence
Peter Constantin
An Eulerian-Lagrangian approach to incompressible fluids that is convenient for both analysis and physics is presented. Bounds on burning rates in combustion and heat transfer in c…