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.

Rights

Attribution 4.0 International

Rights Holder

Rights License