Author(s)

Urbain Traoré

Laboratoire de Mathématiques et d’Informatique (LAMI), UFR, Sciences Exactes et Appliquées, Université Ouaga I Pr Joseph.

In this paper, we study a class of Prigozhin equation for growing sandpile problem subject to local and a non-local boundary condition. The problem is a generalized model for a growing sandpile problem with Neumann boundary condition (see [1]). By the semi-group theory, we prove the existence and uniqueness of the solution for the model and thanks to a duality method we do the numerical analysis of the problem. We finish our work by doing numerical simulations to validate our theoretical results.

Sandpile, Collapsing, Avalanche, Nonlinear Semi-Group, Nonlocal Boundary Conditions, Euler Discretization in Time, Time Dependent Gradient Constraints

Traoré, U. (2021) Growing Sandpile Problem with Local and Non-Local Boundaries Conditions. Journal of Applied Mathematics and Physics, 9, 2414-2429. doi: 10.4236/jamp.2021.910153.