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1.1 MATHMATICS, Pure mathematics, Applied mathematics
This article investigates the properties of the solutions of the dispersionless two-component Burgers (B2) equation, derived as a model for blood- ow in arteries with elastic walls. The phenomenon of wave breaking is investigated as well as applications of the model to clinical conditions.
Lyons, T. The 2-component dispersionless Burger's equation arising in the modelling of bloodflow. Published in Communications on Pure and Applied Analysis, Vol. 11, Issue 4, 2012, p. 1563-1576. doi:10.3934/cpaa.2010.9.1617