A Partial Integrodifferential Equation in Granular Matter and Its Connection with a Stochastic Model

DOI10.1137/100810678zbMath1247.35183OpenAlexW2002612285MaRDI QIDQ2902745

Noureddine Igbida

Publication date: 22 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100810678

zbMATH Keywords

particle systemgranular matternonlocal \(p\)-Laplaciannonlocal evolution problemgrowing sandpilepartial integrodifferential equation (PIDE)physical granular structurestochastic model for sandpile

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Other nonlinear integral equations (45G10) Integro-partial differential equations (35R09) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Discrete collapsing sandpile model ⋮ Optimal simulation of sandcastle life in dynamic environment based on stability principle ⋮ A Monge-Kantorovich mass transport problem for a discrete distance ⋮ A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian

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