IUMJ

Title: Spectral stability implies nonlinear stability for incompressible boundary layers

Authors: F. Gallaire and F. Rousset

Issue: Volume 57 (2008), Issue 4, 1959-1976

Abstract:

We prove the nonlinear stability of boundary layer profiles of the incompressible Navier-Stokes equation under a spectral assumption on the linearized operator. The main result applies for example to the classical Blasius layer.