Speaker: José Francisco Rodrigues, Universidade de Lisboa
Title: Nonlocal evolution transport densities

Abstract: This talk presents new existence results on the solution of an evolutionary Monge-Kantorovich type equation in an open domain with Dirichlet boundary conditions. The solution is given by a couple (\lambda, u), where \lambda is the transport density and u is the potential solving an evolution variational inequality with a time dependent nonlocal gradient constraint. Using a penalisation of the transport flux we extend to the evolution case the existence of Lagrange multipliers, which includes the case of a “nonlocal sand pile” problem. This is a joint work with Assis Azevedo and Lisa Santos.

Time: Friday, September 6, 2019, 1:30-2:30pm

Place: Exploratory Hall, Room 4106

Department of Mathematical Sciences
George Mason University
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