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

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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.

Original languageEnglish
Pages (from-to)1563-1576
Number of pages14
JournalCommunications on Pure and Applied Analysis
Volume11
Issue number4
DOIs
Publication statusPublished - Jul 2012
Externally publishedYes

Keywords

  • Blood flow
  • Breaking waves
  • Dispersionless limit
  • Nonlinear waves

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