On the Stochastic Kuramoto-Sivashinsky Equation
Abstract
Description
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.
To appear in: Nonlinear Analysis
To appear in: Nonlinear Analysis