Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation
Dynamical Systems
2007-05-23 v1 Analysis of PDEs
Abstract
The nonlocal Kuramoto-Sivashinsky equation arises in the modeling of the flow of a thin film of viscous liquid falling down an inclined plane, subject to an applied electric field. In this paper, the authors show that, as the coefficient of the nonlocal integral term goes to zero, the solution trajectories and the maximal attractor of the nonlocal Kuramoto-Sivashinsky equation converge to those of the usual Kuramoto-Sivashinsky equation.
Keywords
Cite
@article{arxiv.math/9806034,
title = {Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation},
author = {Jinqiao Duan and Vincent Ervin and Hongjun Gao},
journal= {arXiv preprint arXiv:math/9806034},
year = {2007}
}
Comments
Latex file. To appear: Communications on applied nonlinear analysis, Vol. 5, No. 4, 1998