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Book Sections Applications of Mathematics and Informatics in Natural Sciences and Engineering Year : 2021

Scaling property for fragmentation processes related to avalanches

Abstract

We emphasize a scaling property for the continuous time fragmentation processes related to a stochastic model for the fragmentation phase of an avalanche. We present numerical results that confirm the validity of the scaling property for our model, based on the appropriate stochastic differential equation of fragmentation and on a fractal property of the solution.
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Dates and versions

hal-02942710 , version 1 (18-09-2020)

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Lucian Beznea, Madalina Deaconu, Oana Lupaşcu-Stamate. Scaling property for fragmentation processes related to avalanches. Applications of Mathematics and Informatics in Natural Sciences and Engineering, Applications of Mathematics and Informatics in Natural Sciences and Engineering AMINSE 2019, Tbilisi, Georgia, September 23–26 (334), Springer, 2021, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-030-56356-1_3⟩. ⟨hal-02942710⟩
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