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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20983

Title: Nonlinear ring waves in a two-layer fluid
Authors: Khusnutdinova, Karima R.
Zhang, Xizheng
Keywords: Nonlinear ring waves
CKdV-type equation
Dispersive shock waves
Issue Date: 2016
Publisher: © Elsevier
Citation: KHUSNUTDINOVA, K. and ZHANG, X., 2016. Nonlinear ring waves in a two-layer fluid. Physica D: Nonlinear Phenomena, 333, pp.208–221
Abstract: Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2+1-dimensional cKdV-type equation. In a case study, we consider concentric waves from a localised initial condition and waves in a 2D version of the dam-break problem, as well as discussing the effect of a piecewise-constant shear flow. The modelling shows, in particular, the formation of 2D dispersive shock waves and oscillatory wave trains.
Description: This paper was accepted for publication in the journal Physica D: Nonlinear Phenomena and the definitive published version is available at http://dx.doi.org/10.1016/j.physd.2016.02.013.
Version: Accepted for publication
DOI: 10.1016/j.physd.2016.02.013
URI: https://dspace.lboro.ac.uk/2134/20983
Publisher Link: http://dx.doi.org/10.1016/j.physd.2016.02.013
ISSN: 0167-2789
Appears in Collections:Published Articles (Maths)

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