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math.AP2005★ 3 cited
Diffusion and Mixing in Fluid Flow
P. Constantin, A. Kiselev, L. Ryzhik +1
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…
math.AP2004
Non-Planar Fronts in Boussinesq Reactive Flows
H. Berestycki, P. Constantin, L. Ryzhik
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar…
math.AP2000
An Eulerian-Lagrangian Approach for Incompressible Fluids: Local Theory
P. Constantin
We present a local existence result for the three dimensional incompressible Euler equations. The solution is constructed using a formulation of the equations as an active vector s…