Lyapunov Exponents for Burgers' Equation
Analysis of PDEs
2015-02-24 v1 Mathematical Physics
math.MP
Abstract
We establish the existence, uniqueness, and stability of the stationary solution of the one-dimensional viscous Burgers equation with the Dirichlet boundary conditions on a finite interval. We obtain explicit formulas for solutions and analytically determine the Lyapunov exponents characterizing the asymptotic behavior of arbitrary solutions approaching the stationary one.
Cite
@article{arxiv.1502.06581,
title = {Lyapunov Exponents for Burgers' Equation},
author = {Alexei Kourbatov},
journal= {arXiv preprint arXiv:1502.06581},
year = {2015}
}
Comments
6 pages, 1 table