Prof. Darren Crowdy SGU Special Lecture (Mathematical Fluid Dynamics)
SGU Special lectures by Prof. Darren Crowdy (Kyoto / Imperial College London) will take place as follows:
 Date & Time
 October 13  23, 2015
Tuesday, October 13, 15:0018:00
Friday, October 16, 15:0018:00
Tuesday, October 20, 15:0018:00
Friday, October 23, 15:0018:00  Venue
 127 Conference room, Faculty of Science Bldg. #3, Kyoto University
 Title
 "MOFs, microfluidics and microorganisms": a crash course in complex variable techniques for Stokes flow modelling
 Abstract
 This lecture course will introduce how to use the mathematics of complex analysis to study a variety of technologically important problems of slow viscous flows ("Stokes flows"). Such complex variable techniques are rarely used in the study of lowReynoldsnumber hydrodynamics even though the methods are versatile and powerful and, moreover, are increasingly relevant in a variety of new technological applications in nano and microfluidics, colloid science and biomechanics.
 The lectures will be of interest to students wishing to acquire a novel armoury of skills to tackle real problems in applications, and to those seeking simply to learn new techniques in complex variable methods. As examples, we will show how the techniques can be applied to:

●the fabrication of microstructured optical fibres ("MOFs")
●superhydrophobic surfaces
●the locomotion of microorganisms and lowReynoldsnumber swimmers. 
Principal topics: Stokes equations; reversibility and the "scallop theorem"; fundamental singularities of Stokes flows (stokeslets, stresslets, rotlets); the Lorentz reciprocal theorem; Goursat representation of biharmonic fields in terms of analytic functions; conformal mapping; free boundary problems; mixed boundary value problems; transform techniques; boundary integral methods.
 Language
 English