Bounds for the threshold amplitude for plane Couette flow
偏微分方程分析
2007-05-23 v1
摘要
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}.
引用
@article{arxiv.math/0302028,
title = {Bounds for the threshold amplitude for plane Couette flow},
author = {Mattias Liefvendahl and Gunilla Kreiss},
journal= {arXiv preprint arXiv:math/0302028},
year = {2007}
}
备注
arxiv version is already official