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Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system
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The generalized Riemann problem scheme for a laminar two-phase flow model with two-velocities
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A robust numerical scheme based on auxiliary interface variables and monotone-preserving reconstructions for two-layer shallow water equations with wet–dry fronts
Layer-averaged approximation of Navier–Stokes system with complex rheologies
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Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows
Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties
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Congested Shallow Water Model: Trapped Air Pockets Modeling
A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation
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Edwige Godlewski and Pierre-Arnaud Raviart Applied Mathematical Sciences, Numerical Approximation of Hyperbolic Systems of Conservation Laws 118 627 (2021) https://doi.org/10.1007/978-1-0716-1344-3_7
A well-posed multilayer model for granular avalanches with μ(I) rheology
A combined fluid-dynamic and thermodynamic model to predict the onset of rapid phase transitions in LNG spills
Karl Yngve Lervåg, Hans Langva Skarsvåg, Eskil Aursand, Jabir Ali Ouassou, Morten Hammer, Gunhild Reigstad, Åsmund Ervik, Eirik Holm Fyhn, Magnus Aa. Gjennestad, Peder Aursand and Øivind Wilhelmsen Journal of Loss Prevention in the Process Industries 69 104354 (2021) https://doi.org/10.1016/j.jlp.2020.104354
Congested shallow water model: on floating body
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Congested shallow water model: roof modeling in free surface flow
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Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
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Analysis of the Riemann Problem for a Shallow Water Model with Two Velocities
Nina Aguillon, Emmanuel Audusse, Edwige Godlewski and Martin Parisot SIAM Journal on Mathematical Analysis 50(5) 4861 (2018) https://doi.org/10.1137/17M1152887
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations
François Bouchut, Yann Jobic, Roberto Natalini, René Occelli and Vincent Pavan The SMAI Journal of computational mathematics 4 1 (2018) https://doi.org/10.5802/smai-jcm.28
Granular front for flow down a rough incline: about the value of the shape factor in depths averaged models
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
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Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
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A multilayer shallow model for dry granular flows with the -rheology: application to granular collapse on erodible beds
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The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness
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