On the Stochastic Kuramoto-Sivashinsky Equation
Duan, Jinqiao · Ervin, Vincent
Dynamical Systems
Mathematical Physics
Analysis of PDEs
Functional Analysis
Probability
60H15, 35R60
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.