A hyperbolic system of conservation laws for fluid flows through compliant axisymmetric vessels

DOI10.1016/S0252-9602(10)60056-2zbMath1240.35350OpenAlexW2094186729MaRDI QIDQ550061

Wei H. Ruan, Gui-Qiang G. Chen

Publication date: 19 July 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60056-2

zbMATH Keywords

stabilityconservation lawsRiemann problemshock wavehyperbolicityhyperbolic systemrarefaction wavefluid flowstanding waveRiemann solutionwave curve

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Physiological flows (76Z05) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)

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