Well-posedness results for the transport equation, and<br/><br/>applications to the chromatography system

Saturday, July 25, 2009 - 11:00am - 11:50am
EE/CS 3-180
Laura Valentina Spinolo (Scuola Normale Superiore)
The talk will be based on a joint work with L. Ambrosio, G. Crippa and A.
Figalli. First, some new well-posedness results for continuity and
transport equations with weakly differentiable velocity fields will be
discussed. These results can be applied to the analysis of a 2 x 2 system
of conservation laws in one space dimension known as the chromatography
system, leading to global existence and uniqueness results for suitable
classes of entropy admissible solutions.
MSC Code: