PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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
Abstract:
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 phenomenon.

Room Reservation Information

Room Number:MB106
Date:02 / 07 / 2012
Time:04:00pm - 05:00pm