|Date: Thursday, February 25, 2016
Location: 4088 East Hall (4:00 PM to 5:00 PM)
Title: Global Well-Posedness Results for Generalizations of the Nonlinear Sigma Model
Abstract: The classical nonlinear sigma model of Gell-Mann and Levy, which describes interactions between nucleons and pions, has given rise to several generalizations. Among these are the Skyrme and Faddeev models, which are quasilinear generalizations that admit topological solitons. The global well-posedness of the equations of motion associated with these models has been studied intensely in recent years, in both the small- and large-data regimes. In this presentation, I will survey some of the current results related to these models. Then I will state and outline the proof of a large-data global well-posedness result of mine concerning the two-dimensional Skyrme model. This proof features a nonstandard technique which is not well known. Finally, I will suggest some possible future projects related to this work.
Speaker: Matthew Creek
Institution: Univ. of Chicago