Steven D. Miller

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20212023

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math-ph2023

A Stochastic Differential Equation For Laser Propagation In Medias With Random Gaussian Absorption Coefficients: A Modified Beer's Law Solution Via A Van Kampen Cluster Expansion

Steven D Miller

Let $I D = [0, L] \subset R^{+}$ be a slab geometry with boundaries $z = 0$ and $z = L$ . A laser beam with a flat incident intensity $ψ_{o}$ enters the…

math-ph2022

A Turbulent Fluid Mechanics Via Nonlinear Mixing Of Smooth Velocity Flows With Reynolds-Weighted Random Fields

Steven D Miller

We consider a finite-volume domain $D \subset R^{3}$ of size $Vol (D) \sim L^{3}$ containing a viscous fluid of kinematic viscosity $ν$ …