Antrittsvorlesung Prof. Schmeiser/10.5.06

Institut für Mathematik sekr.mathematik at univie.ac.at
Tue May 2 13:50:19 CEST 2006


Mathematisches Kolloquium

EINLADUNG

zur
ANTRITTSVORLESUNG

von

Prof. Dr. Christian Schmeiser
(Fakultaet fuer Mathematik, Universitaet Wien)

mit dem Thema:

''Kinetic regularization of nonlinear hyperbolic conservation laws''

Abstract:
Initial value problems for nonlinear hyperbolic conservation laws do not
possess smooth solutions in general but develop jump discontinuities (so
called 'shocks') in finite time. These can be accommodated in the extended
concept of weak solutions. Then, however, uniqueness of solutions is lost in
general, which can be regained by adding 'entropy conditions', obtained by
deriving the hyperbolic conservation law from a family of regularized
problems.

Instead of the - mathematically rather well understood - 'viscous' or
'parabolic' regularization, the regularization by kinetic transport
equations will be discussed. In applications the latter usually can be seen
as the more accurate physical model. The hyperbolic conservation law arises
as a macroscopic limit. Recent results on the existence and stability of
kinetic shock profiles and on the rigorous justification of the macroscopic
limit producing entropy solutions of the hyperbolic conservation law will be
presented.

Zeit: Mittwoch, 10. Mai 2006, 16.00 Uhr anschließend Buffet

Ort: Fakultaet fuer Mathematik der Universitaet Wien, Nordbergstr. 15,
Seminarraum C 209

Harald Rindler




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