The 2-component dispersionless Burgers equation arising in the modelling of blood flow

Tony Lyons

doi:10.3934/cpaa.2012.11.1563

Article Contents

2012, Volume 11, Issue 4: 1563-1576. Doi: 10.3934/cpaa.2012.11.1563

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The 2-component dispersionless Burgers equation arising in the modelling of blood flow

Tony Lyons^1,

1.
School of Mathematical Sciences, Dublin Institute of Technology, Kevin Street, Dublin 8

Received: May 2011

Revised: June 2011

Published: July 2012

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Abstract

This article investigates the properties of the solutions of the dispersionless two-component Burgers (B2) equation, derived as a model for blood-flow in arteries with elastic walls. The phenomenon of wave breaking is investigated as well as applications of the model to clinical conditions.

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Mathematics Subject Classification: Primary: 35Q53, 37K65, 35B30; Secondary: 35B35, 35Q80, 35B65.

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