Fluid flow between active elastic plates

Strunin, Dmitry V. (2009) Fluid flow between active elastic plates. ANZIAM Journal (Australian & New Zealand Industrial and Applied Mathematics Journal), 50. C871-C883. ISSN 1446-1811

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[Abstract]: We propose a model of a channel flow between actively moving elastic plates as a framework for blood flow in active human arteries. The main difference from extant models is that our model is autonomous. It is a nonlinear partial differential equation governing the deformation of the plates involving 6-th order spatial derivative. The pde has a similar structure to the equation we proposed earlier to simulate another active system—spinning combustion front.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author's version deposited in accordance with the copyright policy of the publisher.
Depositing User: Dr Dmitry Strunin
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 12 Nov 2009 06:16
Last Modified: 02 Jul 2013 23:16
Uncontrolled Keywords: fluid flow, elastic plates
Fields of Research (FOR2008): 01 Mathematical Sciences > 0102 Applied Mathematics > 010202 Biological Mathematics
01 Mathematical Sciences > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
URI: http://eprints.usq.edu.au/id/eprint/5080

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