# 【预告】钩深讲坛：The Cauchy problem for the coupled ostrovsky equations in the space of low regularity

In this talk, the Cauchy problem for the coupled Ostrovsky equations with initial value in the Sobolev spaces $H^{s}(\mathbb{R})$ of lower order $s$ is investigated. With the bilinear estimate, it is proved that this initial value problem is locally well-posed in $H^{s}(\mathbb{R})$ for $s>-\frac{3}{4}$ by using Bourgain spaces.

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