Sandpiles and dunes: mathematical models for granular matter

Cites Work

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Front tracking approximations for slow erosion
The slow erosion limit in a model of granular flow
Dual formulations in critical state problems
An existence result for the sandpile problem on flat tables with walls
On a dual formulation for growing sandpile problem with mixed boundary conditions
Representation of equilibrium solutions to the table problem for growing sandpiles
Fast/slow diffusion and growing sandpiles
A new mathematical model for traveling sand dunes: analysis and approximation
A fully Eulerian multiphase model of windblown sand coupled with morphodynamic evolution: erosion, transport, deposition, and avalanching
Degenerate parabolic models for sand slides
A semigroup approach to an integro-differential equation modeling slow erosion
Existence and stability of traveling waves for an integro-differential equation for slow erosion
Well-posedness for a slow erosion model
A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications
A quasi-variational inequality problem arising in the modeling of growing sandpiles
Modelling the dynamics of granular matter
A hyperbolic model for granular flow
Self-organized criticality
The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
A Finite-Difference Approximation of a Two-Layer System for Growing Sandpiles
On a Differential Model for Growing Sandpiles with Non-Regular Sources
Global Existence of Large BV Solutions in a Model of Granular Flow
Viscosity Solutions of Hamilton-Jacobi Equations
The motion of a finite mass of granular material down a rough incline
User’s guide to viscosity solutions of second order partial differential equations
Differential equations methods for the Monge-Kantorovich mass transfer problem
Self-organized critical state of sandpile automaton models
The Lipschitz continuity of the distance function to the cut locus
Modeling sand slides by a mechanics-based degenerate parabolic equation
A Mathematical Model in Sand Mechanics: Presentation and Analysis

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