Variational Problems in Transport Theory with Mass Concentration (Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore)) (v. 4)

Santambrogio, Filippo

ISBN 10: 8876423125 / ISBN 13: 9788876423123

Published by Edizioni della Normale, 2008

Very Good. Dust Jacket may NOT BE INCLUDED.CDs may be missing. SHIPS FROM MULTIPLE LOCATIONS. Seller Inventory # ERICA82988764231254

Synopsis:

The book mainly deals with variational problems involving optimal transportation of probability measures, in competition with concentration effects. First, some problems are presented where measures have to be selected minimizing transport costs between them but satisfying some concentration criteria, with possible applications mainly to urban planning (where the concentrated measures stand for services in the city and the diffuse ones for population). The second part of the book is devoted to optimization problems where the concentration or diffusion phenomena occurs directly at the level of the transportation structure: for instance in most communication networks, as well as in river basins and blood vessels joint transportation is favoured, while some models for traffic congestion or compressible fluid mechanics give raise to problems where spread configurations are preferred.

Review: From the reviews: “The book deals with optimal transport problems where concentration phenomena, such as concentration of the marginal measures or along the transport itself, occur. The content of the volume is divided into 10 chapters preceded by an Introduction outlining the main results obtained by the author. ... the text will be of real interest for applied mathematicians.” (Adriana-Ioana Lefter, Memoirs of the Scientific Sections, 2009)

Bibliographic Details

Title: Variational Problems in Transport Theory ...
Publisher: Edizioni della Normale
Publication Date: 2008
Binding: Paperback
Condition: Very Good
Dust Jacket Condition: Dust Jacket Included
Book Type: book