An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle
Dynamical Systems
2018-02-28 v1
Abstract
We construct an explicit Lyapunov function for scalar parabolic reaction-advection-diffusion equations under periodic boundary conditions. We assume the nonlinearity is even in the advection term. We follow a method originally suggested by Matano and Zelenyak for, and limited to, separated boundary conditions.
Cite
@article{arxiv.1802.09763,
title = {An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle},
author = {Bernold Fiedler and Clodoaldo Grotta-Ragazzo and Carlos Rocha},
journal= {arXiv preprint arXiv:1802.09763},
year = {2018}
}
Comments
17 pages