Monday, November 14th, 2:10PM, 401 Carver Hall
Title: Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces
Abstract: We consider large systems of particles interacting through rough but bounded interaction kernels. We are able to control the relative entropy between the N-particles distribution and the expected limit which solves the corresponding Vlasov system. This implies the Mean Field limit tothe Vlasov system together with Propagation of Chaos through the strong convergence of all the marginals. The method works at the level of the Liouville equation and relies on precise combinatorics results.
About the Speaker: Dr. Jabin joined UMD in 2011 and was appointed interim director of CSCAMM in 2016. He held the position of professor in the J.-A. Dieudonne laboratory at the Université Nice-Sophia Antipolis in Nice, France from 2004-2011 and prior to that he was an assistant professor at the École Normale Supérieure in Paris, France, from 2000 to 2004. He has also held several visiting positions, such at in INRIA (Institute for Research in Informatics and Automatics) from 2007-2011, at Ecole Polytechnique in Paris, University Paris Dauphine. Dr. Jabin is well known for his work on Partial Differential Equations and Kinetic Theory. His signature contributions are in particular in the theory of transport and advection phenomena, and in systems of many interacting particles, with applications in Physics and the Bio-Sciences. He has over 60 refereed journal articles and has presented numerous invited lectures as well as colloquia. Dr. Jabin was a student at the École Normale Supérieure and at the same time, earned his Ph.D. in 2000 and master’s degree in mathematics as well as his bachelor’s degree in mathematics and physics from the Pierre and Marie Curie University Paris VI. He is a member of the editorial board for several journals such as Mathematical Models and Methods in Applied Sciences, Network and Heterogeneous Media, Kinetic and Related Models and the SIAM Journal of Mathematical Analysis.