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An intrusion layer in stationary incompressible fluids Part 2: A solitary wave


Forbes, LK and Hocking, GC, An intrusion layer in stationary incompressible fluids Part 2: A solitary wave, European Journal of Applied Mathematics, 17, (5) pp. 577-595. ISSN 0956-7925 (2006) [Refereed Article]

DOI: doi:10.1017/S0956792506006711


The propagation of a solitary wave in a horizontal fluid layer is studied. There is an interfacial free surface above and below this intrusion layer, which is moving at constant speed through a stationary density-stratified fluid system. A weakly nonlinear asymptotic theory is presented, leading to a Korteweg-de Vries equation in which the two fluid interfaces move oppositely. The intrusion layer solitary wave system thus forms a widening bulge that propagates without change of form. These results are confirmed and extended by a fully nonlinear solution, in which a boundary-integral formulation is used to solve the problem numerically. Limiting profiles are approached, for which a corner forms at the crest of the solitary wave, on one or both of the interfaces.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:44342
Year Published:2006
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:7
Deposited By:Mathematics
Deposited On:2007-08-01
Last Modified:2010-06-08

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