Non UBC
DSpace
Di Francesco, Marco
2018-10-10T05:04:40Z
2018-04-12T14:00
Nonlinear convection and nonlocal aggregation equations are known to feature a "formal" gradient flow structure in presence of a "nonlinear mobility", in terms of the generalized Wasserstein distance "à la" Dolbeault-Nazaret-Savaré. Such a structure is inherited by the discrete Lagrangian approximations of those equations in a quite natural way in one space dimension, and this simple remark allows to formulate a discrete-to-continuum "many particle" approximation. I will describe some recent results in this direction, which include the discrete (deterministic) particle approximation for scalar conservation laws and (more recently) a large class of nonlocal aggregation equations as main examples. The results are in collaboration with M. D. Rosini (Ferrara), S. Fagioli and E. Radici (L'Aquila).
https://circle.library.ubc.ca/rest/handle/2429/67432?expand=metadata
32 minutes
video/mp4
Author affiliation: University of L'Aquila
Banff (Alta.)
10.14288/1.0372479
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial differential equations
Statistical mechanics, structure of matter
Deterministic particle approximations of local and nonlocal transport equations
Moving Image
http://hdl.handle.net/2429/67432