Growing sandpile problem with Dirichlet and Fourier boundary conditions
Date
2017-12-06
Authors
Nassouri, Estelle
Ouaro, Stanislas
Traore, Urbain
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this work, we study the Prigozhin model for growing sandpile with mixed boundary conditions and an arbitrary time dependent angle of repose. On one part of the boundary the homogeneous Dirichlet boundary condition is provided, on the other one the Robin condition is used. Using the implicit Euler discretization in time, we prove the existence and uniqueness of variational solution of the model and for the numerical analysis we use a duality approach.
Description
Keywords
Growing sandpile, Fourier boundary condition, Nonlinear semi-group, Dirichlet boundary condition, Euler discretization in time
Citation
Nassouri, E., Ouaro, S., & Traoré, U. (2017). Growing sandpile problem with Dirichlet and Fourier boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(300), pp. 1-19.