A RIEMANN PROBLEM AT A JUNCTION OF OPEN CANALS

DOI10.1142/S021989161350015XzbMath1277.35239OpenAlexW2107528779MaRDI QIDQ2857731

Mouhamadou Samsidy Goudiaby, Gunilla Kreiss

Publication date: 5 November 2013

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989161350015x

zbMATH Keywords

hyperbolic systemsRiemann problemSaint-Venant equationsopen canal networknonlinear junction Riemann problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (9)

Junction Riemann problem for one-dimensional shallow water equations with bottom discontinuities and channels width variations ⋮ Notes on RKDG methods for shallow-water equations in canal networks ⋮ Fluvial to torrential phase transition in open canals ⋮ Existence result for the coupling of shallow water and Borda–Carnot equations with Riemann data ⋮ Angle dependence in coupling conditions for shallow water equations at channel junctions ⋮ A numerical method for junctions in networks of shallow-water channels ⋮ Existence and Uniqueness of Solutions to the Generalized Riemann Problem for Isentropic Flow ⋮ Coupling constants and the generalized Riemann problem for isothermal junction flow ⋮ Global stabilization of the Navier-Stokes equations around an unstable equilibrium state with a boundary feedback controller

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