Analysis Seminar

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Rigorous Asymptotic Derivation of the Magneto-Hydro-Dynamic System from Navier-Stokes-Maxwell

Speaker: Slim Ibrahim, University of Victoria

Location: Warren Weaver Hall 1302

Date: Thursday, January 29, 2015, 11 a.m.

Synopsis:

The incompressible Magneto-Hydro-Dynamic (MHD) system is a classical and fundamental model in plasma physics. Although well known, its derivation from Navier-Stokes type equations has been so far formal. In this talk and after reviewing the results about the well-posedness, I show how an asymptotic analysis of such equations can rigorously lead to a such a derivation. The key points is a precise study of the weak stability in the Lorentz.

This is a joint work with D. Arsenio (Paris 7) & N. Masmoudi (Courant).