Nassouri, EstelleOuaro, StanislasTraore, Urbain2022-09-262022-09-262017-12-06Nassouri, 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. 1-19.1072-6691https://hdl.handle.net/10877/16172In 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.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalGrowing sandpileFourier boundary conditionNonlinear semi-groupDirichlet boundary conditionEuler discretization in timeArticle