Stable solutions of a scalar conservation law for particle-size segregation in dense granular avalanches

DOI10.1017/S0956792507007280zbMath1208.35090MaRDI QIDQ3514303

Anthony R. Thornton, J. M. N. T. Gray, Michael Shearer

Publication date: 21 July 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial boundary value problemsdynamic shock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Granularity (74E20) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Granular flows (76T25)

Related Items (2)

Large particle segregation, transport and accumulation in granular free-surface flows ⋮ Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts

Cites Work

• Segregation induced instabilities of granular fronts
• Mixing and segregation of granular materials in chute flows
• Hyperbolic systems of conservation laws II
• Particle-size segregation and diffusive remixing in shallow granular avalanches
• Weak, strong and detached oblique shocks in gravity-driven granular free-surface flows
• Time-dependent solutions for particle-size segregation in shallow granular avalanches
• The motion of a finite mass of granular material down a rough incline
• Shock waves, dead zones and particle-free regions in rapid granular free-surface flows
• Thermal stabilization of chemical reactors II. Bifurcation analysis of the Endex CSTR
• A theory for particle size segregation in shallow granular free-surface flows
• Breaking size segregation waves and particle recirculation in granular avalanches
• A three-phase mixture theory for particle size segregation in shallow granular free-surface flows
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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