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The Wulff Flow And Some New Isoperimetric Inequalities About Convex Curves In The Plane

Posted on:2006-03-07Degree:MasterType:Thesis
Country:ChinaCandidate:X Y TangFull Text:PDF
GTID:2120360152993046Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this thesis we will concerned with the Wulff flows of curves in the plane. Most of the results are extensions of previous results of M. Green and S. Osher. But we use a new methods to describe the flow.By this way, we can obtain the details of the evolution of the flow,thus,we can prove the theorem 1. 1. In fact, the inequality has been expressed in the paper of Mark Green and Stanley Osher, but they don't give the details. In one chapter, we describe some new isoperimetric inequalities for cloesd convex curves in the plane.
Keywords/Search Tags:Wulff Flow, isoperimetric inequalities, evolution equation
PDF Full Text Request
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