Events for 11/03/2009 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 4:00PM - 4:50PM

Location: BLOC 627

Speaker: Nick Costanzino, Penn State

Title: Analysis of short pulse propagation in dielectric media (NOTE UNUSUAL DAY)

Abstract: The most fundamental equations describing the propagation of light in a dielectric medium are the nonlinear Maxwell equations, which are a system of coupled nonlinear hyperbolic equations. I will discuss some recent progress in deriving reduced models for the propagation of pulses that are relativley localized in space (and hence relatively broad in frequency). This leads to several different competing models, each incorporating different phenomena and different scales. Finally I will discuss what is known about existence and regularity of solutions to each of the models, as well as the relationships between all the different reduced models.

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