On the Stochastic Kuramoto-Sivashinsky Equation
Dynamical Systems
2007-05-23 v1 Mathematical Physics
Analysis of PDEs
Functional Analysis
math.MP
Probability
Abstract
In this article we study the solution of the Kuramoto-Sivashinsky equation (for surface erosion or surface growth) on a bounded interval subject to a random forcing term. We show that a unique solution to the equation exists for all time and depends continuously on the initial data.
Keywords
Cite
@article{arxiv.math/9904149,
title = {On the Stochastic Kuramoto-Sivashinsky Equation},
author = {Jinqiao Duan and Vincent Ervin},
journal= {arXiv preprint arXiv:math/9904149},
year = {2007}
}
Comments
To appear in: Nonlinear Analysis