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Colloquium: A mathematical model for the propagation of electromagnetic waves in magnetized media
4:10 pm, Neill Hall 5W
Abstract: This talk is concerned with the Landau-Lifschitz equation coupled with Maxwell's equations describing the electromagnetic field in generally nonlinear magnetized medium. The Landau-Lifschitz equation is a first order ordinary differential equation for the magnetization field coupled to Maxwell's equations for the electromagnetic field in which the time derivative of the magnetization fields occurs as a source term. The main subjects are the existence, uniqueness and asymptotic behavior of the solutions as well as certain small parameter limits in this model.