For more information about this meeting, contact Leonid Berlyand, Mark Levi, Alexei Novikov.
|Title:||"Nonlinear continuity equations"|
|Seminar:||Applied Analysis Seminar|
|Speaker:||Pierre Emmanuel Jabin, Mathematics Department, University of Maryland|
|Recent developments in the modeling of various complex
transport phenomena (from bacteria to pedestrians' flows) have produced
new and challenging equations. In particular those models have a very
different behaviour from the usual fluid dynamics when the density is
locally high, usually as a consequence of a strict bound on the maximum
number of indivivuals that one can have at a given point.
The corresponding non linear continuity equations combine the features
of both scalar conservation laws and transport equations with rough
velocity fields. Their study, both theoretically and numerically, hence
presents unique challenges.
We are able to derive new critical regularity estimates for this class
of models, which are compatible with shocks and the singular advection
Room Reservation Information
|Date:||02 / 07 / 2012|
|Time:||04:00pm - 05:00pm|