142 citations · 274 across the 18 of their papers we have counts for
4 papers · 2 filters
On some electroconvection models
Peter Constantin, Tarek Elgindi, Mihaela Ignatova +1
We consider a model of electroconvection motivated by studies of the motion of a two dimensional annular suspended smectic film under the influence of an electric potential maintai…
Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields
Peter Constantin, Tarek Elgindi, Mihaela Ignatova +1
We consider the vanishing viscosity limit of the Navier-Stokes equations in a half space, with Dirichlet boundary conditions. We prove that the inviscid limit holds in the energy n…
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications
Peter Constantin, Mihaela Ignatova
We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equat…
Almost global existence for the Prandtl boundary layer equations
Mihaela Ignatova, Vlad Vicol
We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted space with respect to the normal variable, and is real-analytic…