Darren Crowdy教授（京都大学 / Imperial College London）による京都大学SGU特別講義を下記の要領で行います。

科目名

SGU数学特別講義（数理流体力学）

日　時

2015年10月13日〜10月23日
10月13日(火)　15:00〜18:00
10月16日(金)　15:00〜18:00
10月20日(火)　15:00〜18:00
10月23日(金)　15:00〜18:00

場　所

京都大学理学部３号館 127大会議室

題　目

"MOFs, microfluidics and micro-organisms": a crash course in complex variable techniques for Stokes flow modelling

概　要

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 low-Reynolds-number hydrodynamics even though the methods are versatile and powerful and, moreover, are increasingly relevant in a variety of new technological applications in nano- and micro-fluidics, 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 low-Reynolds-number 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.

言　語

英語