Strunin, D. V. (2009) Fluid flow between active elastic plates. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50 (S). C871-C883. ISSN 1446-1811
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Official URL: http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ...
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 sixth order spatial derivative. The equation 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) |
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| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | © Australian Mathematical Society 2009. Open access journal. This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Date Deposited: | 12 Nov 2009 06:16 |
| Last Modified: | 20 Oct 2014 23:51 |
| Uncontrolled Keywords: | fluid flow; elastic plates |
| Fields of Research (2008): | 01 Mathematical Sciences > 0102 Applied Mathematics > 010202 Biological Mathematics 01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations 02 Physical Sciences > 0299 Other Physical Sciences > 029903 Medical Physics |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490102 Biological mathematics 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490410 Partial differential equations 51 PHYSICAL SCIENCES > 5105 Medical and biological physics > 510502 Medical physics |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| URI: | http://eprints.usq.edu.au/id/eprint/5080 |
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