Interaction of the elementary waves of isentropic flow in a variable cross-section duct

DOI10.4310/CMS.2018.V16.N6.A8zbMath1410.35137OpenAlexW2913548565WikidataQ128427323 ScholiaQ128427323MaRDI QIDQ1719604

Qing-Long Zhang, Wan-cheng Sheng

Publication date: 11 February 2019

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2018.v16.n6.a8

zbMATH Keywords

Riemann problemnonconservativeinteraction of elementary wavesduct flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35) Degenerate hyperbolic equations (35L80)

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Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct ⋮ The Riemann problem for Chaplygin gas flow in a duct with discontinuous cross-section ⋮ Interaction of elementary waves for the Aw-Rascle traffic flow model with variable Lane width ⋮ Delta waves and vacuum states in the vanishing pressure limit of Riemann solutions to Baer-Nunziato two-phase flow model ⋮ The Riemann Problem for a Blood Flow Model in Arteries ⋮ A note on the Riemann problem for shallow water equations with discontinuous topography ⋮ Analysis of wave interaction and its applications of traffic flow model with variable lane width

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