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On the Stochastic Kuramoto-Sivashinsky Equation

Jinqiao Duan·Vincent Ervin
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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.

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BibTeXRIS

Jinqiao Duan, Vincent Ervin. 1999-04-27. On the Stochastic Kuramoto-Sivashinsky Equation. https://arxiv.org/abs/math/9904149

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