In this paper we present a rigorous analysis of a scaling limit related to the motion of an
inertial particle in a Gaussian random field. The mathematical model comprises Stokes's law …

The active Brownian particle (ABP) model describes a swimmer, synthetic or living, whose
direction of swimming is a Brownian motion. The swimming is due to a propulsion force, and …

We investigate the dynamics of elastic microstructures within a fluid that are subjected to
thermal fluctuations. We perform analysis to obtain systematically simplified descriptions of …

We apply the formulation of a stochastic mode reduction method developed in a recent
paper of Majda, Timofeyev, and Vanden-Eijnden [Comm. Pure Appl. Math., 54 (2001), pp …

In this paper, we present a consistent and rigorous derivation of some stochastic fluid-
structure interaction models based on an implicit interface formulation of the stochastic …

Publisher Summary This chapter presents a new computational method for simulating
microscopic processes in physiology, which accounts for stochastic thermal fluctuations and …

We present some mathematical analyses of a recently proposed stochastic implicit interface
model for an elastic surface immersed in an incompressible viscous fluid subject to …

We present analysis for the reduction of an inertial description of fluid-structure interactions
subject to thermal fluctuations. We show how the viscous coupling between the immersed …

The dynamics of dendritic growth of a crystal in an undercooled melt is determined by
macroscopic diffusion-convection of heat and by capillary forces acting on the nanometer …

Lecture 15 Multiscale Analysis of SDEs 1 Introduction Page 1 Lecture 15 Multiscale Analysis
of SDEs ∗ Tiejun Li 1 Introduction The multiscale is very common in different fields of science …