Stochastic Partial Differential Approach for Describing Crystallization Droplets in Water Emulsion

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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 (SPDE) by combining the heat energy equation and the nucleation theory with
specified drift and diffusion coefficients. We show the existence and uniqueness of the solution to mathematical model by using some techniques of (SPDE). Numerical experiments are drawn
to support the theoretical results and to compare our numerical results to experimental ones. joint work with Hammou El Otmany.

Brief Biography

A Professor at King Saud University, college of Science, Mathematics Department in Riyadh, Kingdom of Saudi Arabia.
I got my PhD on April 27, 1998 at Cadi Ayyad University in Stochastic Analysis, my past and current research Interests are:  Financial and Actuarial Mathematics, Backward Stochastic Differential Equations, Stochastic Partial Differential Equations, Large Deviations, Limit theorems with applications and Numerical Simulations of Stochastic (partial) Differential Equations.