A variational model for urban planning with traffic congestion

DOI10.1051/cocv:2005022zbMath1085.49046OpenAlexW2113949675MaRDI QIDQ3365417

Filippo Santambrogio, Guillaume Carlier

Publication date: 23 January 2006

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2005__11_4_595_0

zbMATH Keywords

regularityWasserstein distancetraffic congestionKantorovich potentialcontinuous transportation models

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Quadratic programming (90C20) Variational problems in a geometric measure-theoretic setting (49Q20) Traffic problems in operations research (90B20)

Related Items (9)

Nonlinear systems coupled through multi-marginal transport problems ⋮ Optimal transport, shape optimization and global minimization ⋮ Variational problems involving unequal dimensional optimal transport ⋮ On cross-diffusion systems for two populations subject to a common congestion effect ⋮ Transport and concentration problems with interaction effects ⋮ Congested traffic dynamics, weak flows and very degenerate elliptic equations ⋮ A JKO Splitting Scheme for Kantorovich--Fisher--Rao Gradient Flows ⋮ \(BV\) estimates in optimal transportation and applications ⋮ Curves of minimal action over metric spaces

Cites Work

• A convexity principle for interacting gases
• Regularity properties for Monge transport density and for solutions of some shape optimization problem
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A Mass Transportation Model for the Optimal Planning of an Urban Region
• Elliptic Partial Differential Equations of Second Order
• A Continuous Model of Transportation
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