Identification of a Rotating Obstacle in anIncompressible Fluid

碩士 === 國立臺灣大學 === 數學研究所 === 96 === We want to study this problem: Can we determine a rotating unknown obstacle D in an incompressible fluid which is filled with a bounded domain by the velocity on the boundary of this domain? In fact, we only solve the partial problem. In dimension 3, we assume that...

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Bibliographic Details
Main Authors: Ru-Lin Kuan, 關汝琳
Other Authors: Jenn-Nan Wang
Format: Others
Language:en_US
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/17482398008402844078
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 96 === We want to study this problem: Can we determine a rotating unknown obstacle D in an incompressible fluid which is filled with a bounded domain by the velocity on the boundary of this domain? In fact, we only solve the partial problem. In dimension 3, we assume that a C2 bounded domain possess an axis paralleled with the zaxis and the domain is a circle at any horizontal plane. The unknown obstacle D rotates this axis with angular velocity $omega$ = (0, 0, 1)T . And in dimension 2, we assume that the domain is a circle, and this unknown obstacle rotates this center of this circle with angular velocity $omega$= (0, 0, 1)T . Then, we can identify the location and shape of the two unknown rotating obstacles by the velocity on the boundary of this domain.