Regularized Stokeslet segments

An analysis of the regularized stokeslet method ⋆

A regularized boundary integral equation for exterior Stokes flow around rigid bodies in three dimensions is studied. The formulation is based on a free-space solution of the Stokes equations with concentrated, but smooth forcing and involves two regularization parameters that control the behavior of the free-space solution and the conditioning of the integral equation. The smooth free-space so...

Regularized Autoregressive Multiple Frequency Estimation

The paper addresses a problem of tracking multiple number of frequencies using Regularized Autoregressive (RAR) approximation. The RAR procedure allows to decrease approximation bias, comparing to other AR-based frequency detection methods, while still providing competitive variance of sample estimates. We show that the RAR estimates of multiple periodicities are consistent in probabilit...

Regularized fractional derivatives in Colombeau algebra

The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of  Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to...

Regularized Prin

Chaotic particle dynamics in viscous flows: The three-particle Stokeslet problem

It is well known, that the dynamics of small particles moving in a viscous fluid is strongly influenced by the long-range hydrodynamical interaction between them. Motion at high viscosity is usually treated by means of the Stokes equations, which are linear and instantaneous. Nevertheless, the hydrodynamical interaction mediated by the liquid is nonlinear; therefore the dynamics of more than tw...