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oaioai:figshare.com:article/9384926

Global existence of small-norm solutions in the reduced Ostrovsky equation

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Publication date
1 January 2014
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Abstract

We use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitzeica equation and prove global existence of small-norm solutions in Sobolev space H3(R). This scenario is an alternative to finite-time wave breaking of large-norm solutions of the reduced Ostrovsky equation. We also discuss a sharp sufficient condition for the finite-time wave breaking

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Loughborough University Institutional Repository

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Last time updated on 26/03/2020

This paper was published in Loughborough University Institutional Repository.

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