Preprint 2002-043

On the Optimization of a Conservation Law

Abstract: Consider the Cauchy problem for a conservation law and assume that an integral functional on its solution is defined. In this note we obtain an Euler-Lagrange equation for the stationary points of this functional. An application to the optimal management of traffic flows is considered.

Paper:

Available as PostScript (256 Kbytes) or gzipped PostScript (90 Kbytes; uncompress using gunzip).

Author(s):

Rinaldo M. Colombo, <rinaldo@ing.unibs.it>

Alessandro Groli, <groli@ing.unibs.it>

Publishing information:

Comments:

Revised version submitted November 7 2002.

Submitted by:

<rinaldo@ing.unibs.it> July 24 2002.