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Variational Problems in Transport Theory with Mass Concentration

Filippo Santambrogio
Publisher: 
Birkhäuser
Publication Date: 
2007
Number of Pages: 
198
Format: 
Paperback
Series: 
Publications of the Scuola Normale Superiore
Price: 
24.95
ISBN: 
9788876423123
Category: 
Monograph
We do not plan to review this book.

Preliminaries on optimal transportation.- 1. An urban planning model by local functionals.- 2. An urban planning model with traffic congestion.- 3. Transport and concentration problems with interaction.- 4. Path functionals in Wasserstein spaces.- 5. A system of PDEs from a geodesic problem in Wp.- 6. Branching transport problems and distances.- 7. Landscape function.- 8. Blow-up for optimal one-dimensional sets.- 9. Blow-up for optimal branching structures.- References.