Stochastic modeling for describing crystallization droplets in water emulsion

Hammou El-Otmany, Mhamed Eddahbi, Anwar Almualim and Tarik El Rhafiki

Stochastic Processes and their Applications, 2023, vol. 163, issue C, 237-261

Abstract: This paper introduces a new, stochastic mathematical model for the crystallization of emulsion in dispersed media. The mathematical model reads as a stochastic partial differential equation by combining the heat energy equation and the nucleation theory with specified drift and diffusion. We show the existence and uniqueness of the solution of the model by using techniques of stochastic partial differential equations. Numerical experiments are drawn to support the theoretical results. Moreover, comparison of numerical results to experimental ones is provided.

Keywords: Brownian motion; Stochastic partial differential equations; Existence and uniqueness; Crystallization; Emulsion; Numerical schemes (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:163:y:2023:i:c:p:237-261

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DOI: 10.1016/j.spa.2023.06.003

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