Near-wall di � usion tensor of an axisymmetric colloidal particle

Hydrodynamic mobility of a sphere moving on the centerline of an elastic tube

Long-time behavior of velocity correlation of a Brownian particle in a near-critical binary fluid mixture

Exact resummation of hydrodynamics for arbitrary elastic scattering integral

We consider monoenergetic particles propagating in three spatial dimensions and undergoing elastic scattering off an external medium. For an arbitrary rotationally invariant scattering kernel, we derive an exact expression for the frequency- and wave-number-dependent diffusivity, thereby resumming the hydrodynamic grad...

Dynamics of spherical and oblate particles in a viscoelastic shear flow

Abstract Content of image described in text. This study employs a direct-forcing fictitious-domain method combined with the Oldroyd-B model to investigate the dynamics of spherical and oblate spheroidal particles in a viscoelastic shear flow. By varying the particle Reynolds number (0.1 ≤ Re p ≤ 10) and the Weissenberg...

Formation of Trapped Surfaces for the Einstein-Euler System

We prove the formation of trapped surfaces for the Einstein--Euler system in 3+1 dimensions beyond spherical symmetry. We consider smooth characteristic initial data in a short-pulse regime with rapid fluid injection. Starting from initial data containing no trapped surfaces, we obtain two sufficient criteria for trapp...

Modeling the Drag Force of a Spherical Particle in Herschel–Bulkley Fluids

Particle-laden two-phase flows in viscous non-Newtonian fluids are ubiquitous in engineering applications, and their prediction requires accurate particle drag force models. In this work, we perform numerical simulations of the flow past a spherical particle in viscous non-Newtonian fluids, specifically Herschel–Bulkle...