Optimal mass transport on metric graphs

We study an optimal mass transport problem between two equal masses on a metric graph where the cost is given by the distance in the graph. To solve this problem we find a Kantorovich potential as the limit of p-Laplacian-type problems in the graph where at the vertices we impose zero total flux bou...

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Autor principal:	Rossi, Julio Daniel
Publicado:	2015
Materias:	Convex optimization Metric graphs Optimal transport P-Laplacian Boundary conditions Laplace transforms Approximation procedure Optimal mass transport Total flux Transport densities Problem solving
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10526234_v25_n3_p1609_Mazon http://hdl.handle.net/20.500.12110/paper_10526234_v25_n3_p1609_Mazon
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10526234_v25_n3_p1609_Mazon
record_format	dspace
spelling	paper:paper_10526234_v25_n3_p1609_Mazon2023-06-08T16:02:58Z Optimal mass transport on metric graphs Rossi, Julio Daniel Convex optimization Metric graphs Optimal transport P-Laplacian Boundary conditions Convex optimization Laplace transforms Approximation procedure Metric graphs Optimal mass transport Optimal transport P-Laplacian Total flux Transport densities Problem solving We study an optimal mass transport problem between two equal masses on a metric graph where the cost is given by the distance in the graph. To solve this problem we find a Kantorovich potential as the limit of p-Laplacian-type problems in the graph where at the vertices we impose zero total flux boundary conditions. In addition, the approximation procedure allows us to find a transport density that encodes how much mass has to be transported through a given point in the graph, and also provides a simple formula of convex optimization for the total cost. © 2015 Society for Industrial and Applied Mathematics. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10526234_v25_n3_p1609_Mazon http://hdl.handle.net/20.500.12110/paper_10526234_v25_n3_p1609_Mazon
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Convex optimization Metric graphs Optimal transport P-Laplacian Boundary conditions Convex optimization Laplace transforms Approximation procedure Metric graphs Optimal mass transport Optimal transport P-Laplacian Total flux Transport densities Problem solving
spellingShingle	Convex optimization Metric graphs Optimal transport P-Laplacian Boundary conditions Convex optimization Laplace transforms Approximation procedure Metric graphs Optimal mass transport Optimal transport P-Laplacian Total flux Transport densities Problem solving Rossi, Julio Daniel Optimal mass transport on metric graphs
topic_facet	Convex optimization Metric graphs Optimal transport P-Laplacian Boundary conditions Convex optimization Laplace transforms Approximation procedure Metric graphs Optimal mass transport Optimal transport P-Laplacian Total flux Transport densities Problem solving
description	We study an optimal mass transport problem between two equal masses on a metric graph where the cost is given by the distance in the graph. To solve this problem we find a Kantorovich potential as the limit of p-Laplacian-type problems in the graph where at the vertices we impose zero total flux boundary conditions. In addition, the approximation procedure allows us to find a transport density that encodes how much mass has to be transported through a given point in the graph, and also provides a simple formula of convex optimization for the total cost. © 2015 Society for Industrial and Applied Mathematics.
author	Rossi, Julio Daniel
author_facet	Rossi, Julio Daniel
author_sort	Rossi, Julio Daniel
title	Optimal mass transport on metric graphs
title_short	Optimal mass transport on metric graphs
title_full	Optimal mass transport on metric graphs
title_fullStr	Optimal mass transport on metric graphs
title_full_unstemmed	Optimal mass transport on metric graphs
title_sort	optimal mass transport on metric graphs
publishDate	2015
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10526234_v25_n3_p1609_Mazon http://hdl.handle.net/20.500.12110/paper_10526234_v25_n3_p1609_Mazon
work_keys_str_mv	AT rossijuliodaniel optimalmasstransportonmetricgraphs
_version_	1768544695878680576

Optimal mass transport on metric graphs

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