Control of the Continuity Equation with a Non Local Flow

Details Control of the Continuity Equation with a Non Local Flow Control of the Continuity Equation with a Non Local Flow

2009-02-16

arxiv.org/abs/0902.2623v1

Mathematics

Analysis of PDEs

Scientific paper

This paper focuses on the optimal control of weak (i.e. in general non smooth) solutions to the continuity equation with non local flow. Our driving examples are a supply chain model and an equation for the description of pedestrian flows. To this aim, we prove the well posedness of a class of equations comprising these models. In particular, we prove the differentiability of solutions with respect to the initial datum and characterize its derivative. A necessary condition for the optimality of suitable integral functionals then follows.

Affiliated with

Also associated with

No associations

Rating

Control of the Continuity Equation with a Non Local Flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Control of the Continuity Equation with a Non Local Flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Control of the Continuity Equation with a Non Local Flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462539