Tel-Aviv University
School of Mathematical Sciences
Department of Applied Mathematics

Applied Mathematics Seminar


Tuesday, November 16st, 2010

Schreiber 309, 15:10



Michael Sever

The Hebrew University



Construction of Galilean-rotation symmetric MHD models

equipped with a convex entropy

Abstract:

A simple scaling homotopy connects the space of Lorentz-rotation transformations in space-time to the space of Galilean-rotation transformations. Corresponding homotopies are constructed for some first-order systems of balance laws, including Euler systems and Maxwell's equations. The homotopy is not unique in either case; given a Lorentz-rotation symmetric system, different homotopies determine Galilean-rotation symmetric approximations thereof appropriate to different regions of phase space.

One of the approximations of Maxwell's equations so obtained is readily combined with (nonrelativistic) Euler systems to produce candidates for MHD models with Galilean-rotation symmetry and equipped with a convex entropy.