On the invariant measures for the Ostrovsky equation

Abstract

In this paper, we construct invariant measures for the Ostrovsky equation associated with conservation laws. On the other hand, we prove the local well- posedness of the initial value problem for the periodic Ostrovsky equation with initial data in $H^s(\mathbb{T})$ for $s>-1/2$.

Cited by in corpus (1)

• Invariance of the White Noise for the Ostrovsky equation