8 citations · 31 across the 21 of their papers we have counts for
14 papers · 1 filter
Variations of Saffman's robot: two mechanisms of locomotion?
V. A. Vladimirov
We study two mechanisms of locomotion of a body in an inviscid fluid, which take place without the shedding of vorticity; we consider two simple examples of robots which are able t…
Chiral transfer of angular momentum
H. K. Moffatt, V. A. Vladimirov
Suppose that viscous fluid is contained in the space between a fixed sphere and an interior sphere which moves with time-periodic velocity and angular velo…
Many Faces of Boussinesq Approximations
Vladimir A. Vladimirov, Nasser Al-Salti
The \emph{equations of Boussinesq approximation} (EBA) for an incompressible and inhomogeneous in density fluid are analyzed from a viewpoint of the asymptotic theory. A systematic…
Advection equation analysed by two-timing method
V. A. Vladimirov
The aim of this paper is to study and classify the multiplicity of distinguished limits and asymptotic solutions for the advection equation with a general oscillating velocity fiel…
Two-timing Hypothesis, Distinguished Limits, Drifts, and Vibrodiffusion for Oscillating Flows
Vladimir A Vladimirov
In this paper we develop and use the two-timing method for a systematic study of a scalar advection caused by a general oscillating velocity field. Mathematically, we study and cla…
Hierarchy of Distinguished Limits and Drifts for Oscillating Flows
Vladimir A. Vladimirov
Lagrangian motions of fluid particles in a general velocity field oscillating in time are studied with the use of the two-timing method. Our aims are: (i) to calculate systematical…