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arXiv · 0705.3321

Invariant measures for a stochastic Kuramoto-Sivashinky equation

B. Ferrario
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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.

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B. Ferrario. 2007-06-14. Invariant measures for a stochastic Kuramoto-Sivashinky equation. https://arxiv.org/abs/0705.3321

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