Invariant measures for a stochastic Kuramoto-Sivashinky equation

Abstract

For the 1-dimensional Kuramoto-Sivashinsky equation with random forcing term, existence and uniqueness of solutions is proved. Then, the Markovian semigroup is well defined; its properties are analyzed, in order to provide sufficient conditions for existence and uniqueness of invariant measures for this stochastic equation. Finally, regularity results are presented.

25 pages; changed Section 6.3

Cited by in corpus (1)

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