DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**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

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491