The Riemann Problem for a Blood Flow Model in Arteries

DOI10.4208/cicp.OA-2018-0220zbMath1476.35139MaRDI QIDQ5162001

Yuxi Zheng, Qing-Long Zhang, Wan-cheng Sheng

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

zbMATH Keywords

Riemann problemshock wavecontact discontinuitynon-uniquenessrarefaction wavestationary waveglobal entropy condition

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with biology, chemistry and other natural sciences (35Q92) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

A limiting viscosity approach to the Riemann problem in blood flow through artery ⋮ The splitting-based semi-implicit finite-difference schemes for simulation of blood flow in arteries ⋮ High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties ⋮ On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries ⋮ Unnamed Item ⋮ One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes ⋮ A note on the Riemann problem for shallow water equations with discontinuous topography ⋮ Comparison of inviscid and viscid one-dimensional models of blood flow in arteries ⋮ Riemann problem and Godunov-type scheme for a two-layer blood flow model

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