A collapsing sandpile problem with nonlocal boundary condition
Urbain Traoré, Estelle Nassouri · Gulf Journal of Mathematics · 2022
In this work, we continue our study on the sandpile model proposed by Igbida. We are particularly interested in the study of avalanches that occur on the surface of a pile of sand following a drying out. The main novelty here is that we do a theoretical and numerical analysis in the case of local and non-local boundaries conditions. We also present some results of numerical simulations in 2D.