1 citations · 1 across the 2 of their papers we have counts for
8 papers
Fronts in reactive convection: bounds, stability and instability
Peter Constantin, Alexander Kiselev, Lenya Ryzhik
We consider front propagation in a reactive Boussinesq system in an infinite vertical strip. We establish nonlinear stability of planar fronts for narrow domains when the Rayleigh…
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…
Quenching of flames by fluid advection
Peter Constantin, Alexander Kiselev, Leonid Ryzhik
We consider a simple scalar reaction-advection-diffusion equation with ignition-type nonlinearity and discuss the following question: What kinds of velocity profiles are capable of…
Bounds for Turbulent Transport
Peter Constantin
We present rigorous bounds for the average heat transport in Boussinesq Rayleigh-Benard convection.