On the Stochastic Kuramoto-Sivashinsky Equation
Jinqiao Duan, Vincent J. Ervin · arXiv (Cornell University) · 1999
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.