University of California-Los Angeles
Recent advances in the analysis and fast computation of interfaces
(of codimension one and higher) using level set methods will
be discussed. These include
The motion of curves in R*3 and on manifolds
generalization of Tsitsiklis' fast marching method for use
in reactive-ion etching and crystal growth.
Asymptotic limits of evolving crystalline shapes
Variational problems and PDES on implicit surfaces
link between Wulff shapes and Riemann problems for conservation
The work is joint with many people including: G.
Sapiro, L.T. Cheng, P.Burchard, J. Helmsen, B. Merriman, D.
Peng, M. Kang, H.-K. Zhao, and M.
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