Invariant measures for a stochastic Kuramoto-Sivashinky equation

Mathematics – Probability

Scientific paper

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25 pages; changed Section 6.3

Scientific paper

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.

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