On the Stochastic Kuramoto-Sivashinsky Equation

Details On the Stochastic Kuramoto-Sivashinsky Equation On the Stochastic Kuramoto-Sivashinsky Equation

1999-04-27

arxiv.org/abs/math/9904149v1

Mathematics

Dynamical Systems

To appear in: Nonlinear Analysis

Scientific paper

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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