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Asymptotics for Nonlinear Geometric PDEs

Global solutions for the Euler-Maxwell system for electrons in 2 dimensions

speaker: BenoƮt Pausader ( Princeton University)

abstract: We prove that small, smooth and localized perturbations of a constant equilibrium lead to global solutions which scatter in the Euler-Maxwell model for electron. In particular, they do not create a shock, as would be the case in the absence of an electromagnetic field. The proof reduces a global existence result for quasilinear dispersive equations with small initial data. This is a joint work with Yu Deng and Alexandru Ionescu.


timetable:
Wed 5 Nov, 16:30 - 17:20, Aula Dini
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