Identification of a Rotating Obstacle in anncompressible Fluid
Date Issued
2008
Date
2008
Author(s)
Kuan, Ru-Lin
Abstract
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 n 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.
Subjects
Navier-Stokes equations
rotating
obstacle
inverse problem
incompressible fluid
Type
thesis
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