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Shock wave formation in compliant arteries
2019
Evolution Equations and Control Theory
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We focus on the problem of shock wave formation in a model of blood flow along an elastic artery. We analyze the conditions under which this phenomenon can appear and we provide an estimation of the instant of shock formation. Numerical simulations of the model have been conducted using the Discontinuous Galerkin Finite Element Method. The results are consistent with certain phenomena observed by practitioners in patients with arteriopathies, and predict the possible formation of a shock wave
doi:10.3934/eect.2019012
fatcat:ajxfebbfqfexxhhxdcge6r73jq