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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Benoit Pausader
Universite' de Paris XIII
Title: Global existence for the Euler-Maxwell 2 fluid system

Abstract: The two fluid Euler-Maxwell equations is one of the fundamental system in plasma physics. It describes the behavior of two compressible fluids (ions and electrons) interacting through their self-induced electromagnetic field. We prove that a small smooth perturbation of a constant neutral equilibrium leads to a global solution that returns to equilibrium. These equations are time-reversible and the mechanism for control is through dispersion. In particular, a classical result of Sideris shows that this would be false in the absence of an electromagnetic field (compressible Euler develops shocks even from smooth small initial data). This is a joint work with Yan Guo (Brown) and Alexandru Ionescu (Princeton).

Date: Tuesday, April 2, 2013
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer