CMU Campus
Center for                           Nonlinear Analysis
CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact
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).

Recording: http://mm.math.cmu.edu/recordings/cna/CNA-PausaderBenoit-Apr-02-2013.avi
Recording: http://mm.math.cmu.edu/recordings/cna/CNA-PausaderBenoit-Apr-02-2013.mp4
Date: Tuesday, April 2, 2013
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer