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.
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