Stochastic modeling for describing crystallization droplets in water emulsion
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
We focus on solving stochastic differential equations driven by jump processes (SDEJs) with measurable drifts that may exhibit quadratic growth. Our approach leverages
In this short note we provide an additional term that was missing in the proof of Theorem 5.1 in section 5 (Comparison and strict comparison theorems) of our previous paper entitled: Quadratic…
In this article, we introduce a new stochastic process called the sub-fractional G-Brownian motion, which serves as an intermediate between the G-Brownian motion and the fractional G-Brownian…