%0 Journal Article
%T Bounds for the threshold amplitude for plane Couette flow
%A Mattias Liefvendahl
%A Gunilla Kreiss
%J Mathematics
%D 2003
%I arXiv
%X We prove nonlinear stability for finite amplitude perturbations of plane Couette flow. A bound of the solution of the resolvent equation in the unstable complex half-plane is used to estimate the solution of the full nonlinear problem.The result is a lower bound, including Reynolds number dependence,of the threshold amplitude below which all perturbations are stable. Our result is an improvement of the corresponding bound derived in \cite{KLH:1}.
%U http://arxiv.org/abs/math/0302028v1