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Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling: 87 (Progress in Nonlinear Differential Equations and Their Applications) - Tapa blanda

Libro 43 de 53: Progress in Nonlinear Differential Equations and Their Applications

Santambrogio, Filippo

 
9783319365817: Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling: 87 (Progress in Nonlinear Differential Equations and Their Applications)
Tapa blanda
ISBN 10: 3319365819 ISBN 13: 9783319365817
Editorial: Birkhäuser, 2016

Sinopsis

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

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De la contraportada

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

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Editorial
Birkhäuser
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319365819
ISBN 13 
9783319365817
Encuadernación
Tapa blanda
Número de páginas
384
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