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A New Theory of Micro-Robots: multiple scales & distinguished limits

Presented by: 
V Vladimirov University of York
Date: 
Friday 28th June 2013 - 16:25 to 16:50
Venue: 
INI Seminar Room 1
Abstract: 
This paper is devoted to the theory of three types of micro-robots consisting of rigid spheres connected by rods or springs of oscillating lengths:

1. N-sphere linear micro-robot;

2. Dumbbell micro-robot driven by flow oscillations;

3. Triangular micro-robot;

In all three cases the velocities of self-propulsion and the angular velocity of self-rotations have been calculated analytically with the use of the two-timing asymptotic procedure. The results are discussed and compared with the known experiments and with the results of other authors.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons