We develop a Fluctuating Immersed Boundary (FIB) method for performing Brownian
dynamics simulations of confined particle suspensions. Unlike traditional methods which …

In this paper, we study the exact controllability of forward and backward stochastic difference
system (FBSDS) with multiplicative noise. Different from the standard system governed by …

We develop an inertial coupling method for modeling the dynamics of point-like “blob”
particles immersed in an incompressible fluid, generalizing previous work for compressible …

We develop theory and computational methods to investigate particle inclusions embedded
within curved lipid bilayer membranes. We consider the case of spherical lipid vesicles …

The Stokes-Einstein relation for the self-diffusion coefficient of a spherical particle
suspended in an incompressible fluid is an asymptotic result in the limit of large Schmidt …

We derive a coarse-grained description of the dynamics of a nanoparticle immersed in an
isothermal simple fluid by performing a systematic coarse graining of the underlying …

We develop computational methods for the simulation of osmotic swelling phenomena
relevant to microscopic vesicles containing transformable solute molecules. We introduce …

We introduce fluctuating hydrodynamics approaches on surfaces for capturing the drift-
diffusion dynamics of particles and microstructures immersed within curved fluid interfaces of …

We introduce adversarial learning methods for data-driven generative modeling of dynamics
of nt h-order stochastic systems. Our approach builds on Generative Adversarial Networks …

In this paper, we present a finite element implementation of fluctuating hydrodynamics with a
moving boundary fitted mesh for treating the suspended particles. The thermal fluctuations …