8 citations · 31 across the 21 of their papers we have counts for
22 papers
Distinguished Limits and Drifts: between Nonuniqueness and Universality
Vladimir A. Vladimirov
This paper deals with a version of the two-timing method which describes various `slow' effects caused by externally imposed `fast' oscillations. Such small oscillations are often…
Distinguished Limits and Vibrogenic Force revealed by Newton's Equation with Oscillating Force
V. A. Vladimirov
In this paper, we analyse the basic ideas of Vibrodynamics and the two-timing method. To make our analysis most instructive, we have chosen the Newton's equation with a general osc…
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…
Generalized symmetry reduction of nonlinear differential equations
I. M. Tsyfra, W. Rzeszut, V. A. Vladimirov
We study the application of generalized symmetry for reducing nonlinear partial differential equations. We construct the ansatzes for dependent variable which reduce the scalar…
A theory of flying/swimming saucers. Exact solutions for rectilinear locomotion
Vladimir A. Vladimirov
We study self-propulsion (or locomotion) of a robot (or an underwater vehicle) in an inviscid incompressible fluid. The robot's body is rigid, while its locomotion ability is due t…