Calculus of Variations and Geometric Measure Theory

G. Carlier - F. Santambrogio

A Variational Model for Urban Planning with Traffic Congestion

created on 14 Jul 2004
modified by santambro on 28 Sep 2005


Published Paper

Inserted: 14 jul 2004
Last Updated: 28 sep 2005

Journal: ESAIM: COCV
Volume: 11
Number: 4
Pages: 595-613
Year: 2005


A variational model to describe the optimal distributions of residents and services in an urban area is proposed. The functional to be minimized involves an overall transportation cost taking into account congestion effects and two additional terms which penalize concentration of residents and dispersion of services. The paper is concerned with regularity properties of the minimizers and treats in details some examples.

Keywords: urban planning, continuous transportation model