### Abstract

We consider the Cauchy problem for the reduced Ostrovsky equation (Formula Presented) with real valued initial data (Formula Presented). We introduce the factorization for the free evolution group to prove the global existence of solutions. Also, we show that the large time asymptotics of solutions has a logarithmic correction in the phase comparing with the corresponding linear case.

Original language | English |
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Pages (from-to) | 713-738 |

Number of pages | 26 |

Journal | Communications in Mathematical Physics |

Volume | 335 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2015 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Hayashi, N., & Naumkin, P. I. (2015). Large Time Asymptotics for the Reduced Ostrovsky Equation.

*Communications in Mathematical Physics*,*335*(2), 713-738. https://doi.org/10.1007/s00220-014-2222-7