I’ve just submitted this new paper with E. Grenier (ENS de Lyon) on arxiv (scheduled to announce next Tuesday 1:00GMT), in which we construct the Green function for the classical Orr-Sommerfeld equations and derive sharp semigroup bounds for linearized Navier-Stokes equations around a boundary layer profile. This is part of the long program to understand the stability of classical Prandtl’s layers appearing in the inviscid limit of incompressible Navier-Stokes flows.

## Archive for February, 2017

## Green function for linearized Navier-Stokes around boundary layers: away from critical layers

Posted in boundary layers, fluid dynamics, New papers on February 25, 2017| Leave a Comment »

## On the Zakharov’s weak turbulence theory for capillary waves

Posted in Kinetic theory, New papers on February 11, 2017| Leave a Comment »

In this paper with M.-B. Tran, we construct solutions to the following weak turbulence kinetic equation for capillary waves (cf. Hasselmann ’62, Zakharov ’67):