American Institute of Mathematical Sciences

July  2012, 11(4): 1563-1576. doi: 10.3934/cpaa.2012.11.1563

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

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

Received  May 2011 Revised  June 2011 Published  January 2012

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.
Citation: Tony Lyons. The 2-component dispersionless Burgers equation arising in the modelling of blood flow. Communications on Pure & Applied Analysis, 2012, 11 (4) : 1563-1576. doi: 10.3934/cpaa.2012.11.1563
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