The derivation of the equations for fluids and structure

Abstract : In this chapter we derive the equations governing the mechanics of the fluid (the blood) and the structure (the vessel wall). The derivation will be made in a rigorous way, yet trying to provide the reader a physical understanding. Reason of space obliged us to focus on the most important models for haemodynamic computations and to omit several details and the proofs of the propositions. For instance, all issues related to energy conservation principles have been ignored and we have eventually considered only incompressible fluids.
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Submitted on : Friday, February 22, 2013 - 2:47:09 PM
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Miguel Angel Fernández, Luca Formaggia, Jean-Frédéric Gerbeau, Alfio Quarteroni. The derivation of the equations for fluids and structure. Luca Formaggia and Alfio Quarteroni and Alessandro Veneziani. Cardiovascular Mathematics : Modeling and simulation of the circulatory system, 1, Springer, pp.77-121, 2009, MS&A, 978-88-470-1151-9. ⟨10.1007/978-88-470-1152-6_3⟩. ⟨hal-00793516⟩

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