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1999-04-27
On the Stochastic Kuramoto-Sivashinsky Equation
Jinqiao DuanVincent Ervin
文献摘要
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.
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