On the Dynamics of Navier-Stokes and Euler Equations
Chaotic Dynamics
2007-05-23 v1 Mathematical Physics
Analysis of PDEs
math.MP
Fluid Dynamics
Abstract
This is a rather comprehensive study on the dynamics of Navier-Stokes and Euler equations via a combination of analysis and numerics. We focus upon two main aspects: (a). zero viscosity limit of the spectra of linear Navier-Stokes operator, (b). heteroclinics conjecture for Euler equation, its numerical verification, Melnikov integral, and simulation and control of chaos. Besides Navier-Stokes and Euler equations, we also study two models of them.
Keywords
Cite
@article{arxiv.nlin/0611021,
title = {On the Dynamics of Navier-Stokes and Euler Equations},
author = {Yueheng Lan and Y. Charles Li},
journal= {arXiv preprint arXiv:nlin/0611021},
year = {2007}
}
Comments
53 pages, 39 figures