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On the evolution of shock-waves in mathematical models of the aorta

Published online by Cambridge University Press:  17 February 2009

L. K. Forbes
L. K. Forbes
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia 5000
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Abstract

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The one-dimensional, non-linear theory of pulse propagation in large arteries is examined in the light of the analogy which exists with gas dynamics. Numerical evidence for the existence of shock-waves in current one-dimensional blood-flow models is presented. Some methods of suppressing shock-wave development in these models are indicated.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 3 , January 1981 , pp. 257 - 269
Copyright
Copyright © Australian Mathematical Society 1981

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