Introductory course: “Singularities in mechanics”
Lecturers
Jens Eggers, Department of Applied Mathematics,
Bristol University
Christophe Josserand, CNRS and
LMM, Université Paris VI
Laure Saint-Raymond,
LJLL, Université Paris VI
Summary
I. Observation and mathematical modeling of singularities. Some classical examples.
| - shocks in compressible hydrodynamics |
| - dynamics of traffic jams |
| - problems involving fronts and interfaces |
II. Mathematical study of singular behaviours.
The simple model of the Burgers equation.
| - functional spaces taking into account shocks and discontinuities |
| - entropy and admissibility criteria |
| - viscosity solutions |
III. Study of the blow-up. Some methods of mathematical physics.
| - self-similar solutions |
| - asymptotic analysis |
| - connecting theory |
Administrative information
Accredited by the masters
Mécanique et ingénierie des systèmes and
Mathématiques de la modélisation of the University Paris VI.
Duration : 24 hours (on 8 half-days)
Dates : wednesday 13h45-17h45, starting wednesday december 19th 2007
Validation for the master : preparation of a talk
Contact: Christophe Josserand.
