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Title: Global existence of small-norm solutions in the reduced Ostrovsky equation
Authors: Grimshaw, Roger H.J.
Pelinovsky, Dmitry
Keywords: Reduced Ostrovsky equation
Tzitzeica equation
Wave breaking
Conserved quantities
Global existence
Issue Date: 2014
Publisher: American Institute of Mathematical Sciences
Citation: GRIMSHAW, R.H.J. and PELINOVSKY, D., 2014. Global existence of small-norm solutions in the reduced Ostrovsky equation. Discrete and Continuous Dynamical Systems - A, 34 (2), pp.557-566.
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.
Description: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - A following peer review. The definitive publisher-authenticated version GRIMSHAW, R.H.J. and PELINOVSKY, D., 2014. Global existence of small-norm solutions in the reduced Ostrovsky equation. Discrete and Continuous Dynamical Systems - A, 34 (2), pp.557-566 is available online at: https://doi.org/10.3934/dcds.2014.34.557.
Version: Accepted for publication
DOI: 10.3934/dcds.2014.34.557
URI: https://dspace.lboro.ac.uk/2134/32205
Publisher Link: https://doi.org/10.3934/dcds.2014.34.557
ISSN: 1078-0947
Appears in Collections:Published Articles (Maths)

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