Analysis on Phase Transition Problems in Higher Dimensions
TimeAug 23 2012 - 4:30pm - 5:30 pm
SpeakerFanghua Lin (New York University)
AbstractPhase Transition is a natural phenomena. Its theoretical study has played an important role in many applications. For a phase transition problem modeled by a scalar valued function (in particular the reaction-diffusion equation), there are numerous works over the past four decades. Problems of such nature described by a vector-valued function in higher dimensions (the generalized Ginzburg-Landau equations) is often much more challenging except some special cases in which the potential-well representing favorable phases consists of singletons. In this lecture, I shall discuss some recent works concerning phase transition problems with higher dimensional potential wells, and understanding of a longstanding open problem posed by Keller-Rubinstein-Sternberg.
Last updated by lou.8 on 08/16/12