Hydrodynamic limit to entropy solutions of conservation laws with discontinuous flux

CCMA PDEs and Numerical Methods Seminar Series

Meeting Details

For more information about this meeting, contact Alexei Novikov.

Speaker: Christian Klingenberg, Institut of Applied Mathematics, Würzburg University

Abstract: In this paper we consider scalar conservation laws with space dependent flux functions u_t + f(u, x)_x = 0 . The space dependency of the flux may be discontinuous. There exists several entropy conditions in the literature giving rise to uniqueness. The same initial data may give rise to different entropy solutions, depending on the criteria one selects. This motivated us to derive the PDE together with an entropy condition as a hydrodynamic limit from a microscopic interacting particle system. We are inclined to prefer the entropy solution selected by this method. It turns out that this is an entropy condition suggested by Audusse and Pethame in a different context. This is joint work with G.-Q. Chen and Nadine Even.

Room Reservation Information

Room Number: 106 McAllister

Date: 03/03/2009

Time: 3:45pm - 4:45pm