The 2-component dispersionless Burgers equation arising in the modelling of blood flow
Tony Lyons
TL;DR
This paper studies the dispersionless two-component Burgers equation used to model blood flow in arteries, focusing on wave breaking phenomena and clinical applications.
Contribution
It introduces and analyzes the properties of the B2 equation as a blood flow model, highlighting wave breaking and potential clinical relevance.
Findings
Wave breaking phenomena are characterized in the B2 model.
The model's applicability to clinical blood flow conditions is discussed.
Mathematical properties of the solutions are analyzed.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.