Accepted Paper

Inserted: 27 jan 2012
Last Updated: 14 jun 2012

Journal: Nonlinear Differential Equations and Applications NoDEA
Year: 2011

Abstract:

In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a stability result with respect to various parameters.

Keywords: Wasserstein distance, System of conservation laws, continuity equations, nonlocal flow, pedestrian traffic

Download:

• nonlocal6.pdf