A hyperbolic model for granular flow

DOI10.1002/zamm.201000181zbMath1327.76156OpenAlexW2160928017MaRDI QIDQ3107336

Graziano Guerra, Anna Cattani, Rinaldo M. Colombo

Publication date: 23 December 2011

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201000181

zbMATH Keywords

Riemann problemdepositionerosionnon-strictly hyperbolic conservation law

Mathematics Subject Classification ID

Granularity (74E20) Granular flows (76T25)

Cites Work

• The dynamics of avalanches of granular materials from initiation to runout. I: Analysis
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• Representation of equilibrium solutions to the table problem for growing sandpiles
• A semilinear structure on semigroups in a metric space
• The unique limit of the Glimm scheme
• On the shape of avalanches
• Multivalued equations for granular avalanches
• A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications
• Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles
• A Finite-Difference Approximation of a Two-Layer System for Growing Sandpiles
• Global Existence of Large BV Solutions in a Model of Granular Flow
• The motion of a finite mass of granular material down a rough incline
• The Savage-Hutter theory: A system of partial differential equations for avalanche flows of snow, debris, and mud
• Hyperbolic Balance Laws with a Non Local Source

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