On the Stochastic Kuramoto-Sivashinsky Equation
动力系统
2007-05-23 v1 数学物理
偏微分方程分析
泛函分析
math.MP
概率论
摘要
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.
关键词
引用
@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}
}
备注
To appear in: Nonlinear Analysis