Asymptotic analysis of the unsteady problem of waves in a two-layer flow

Korobkin, A. A. ORCID: https://orcid.org/0000-0003-3605-8450 (1987) Asymptotic analysis of the unsteady problem of waves in a two-layer flow. Fluid Dynamics, 22 (6). pp. 893-901. ISSN 0015-4628

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Abstract

The problem investigated is the unsteady problem of the internal waves generated in a two-layer flow by a certain periodic perturbation which leads to small deviations from the basic flow. A method of constructing an approximate solution uniformly valid throughout the region of variation of the variables and the parameters of the problem is indicated. It is confirmed that for large times and near-resonance parameters the motion of the fluid is described by the mixed problem for a cubic Schrödinger equation. Certain qualitative properties of the solution of this nonlinear problem are noted.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Centre for Interdisciplinary Mathematical Research (former - to 2017) Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:25
Last Modified:	15 Dec 2022 02:12
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20623
DOI:	10.1007/BF01050728

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