Discrete and continuum links to a nonlinear coupled transport problem of interacting populations
File(s)
Published version
Author(s)
Duong, MH
Muntean, A
Richardson, OM
Type
Journal Article
Abstract
We are interested in exploring interacting particle systems that can be seen as microscopic models for a particular structure of coupled transport flux arising when different populations are jointly evolving. The scenarios we have in mind are inspired by the dynamics of pedestrian flows in open spaces and are intimately connected to cross-diffusion and thermo-diffusion problems holding a variational structure. The tools we use include a suitable structure of the relative entropy controlling TV-norms, the construction of Lyapunov functionals and particular closed-form solutions to nonlinear transport equations, a hydrodynamics limiting procedure due to Philipowski, as well as the construction of numerical approximates to both the continuum limit problem in 2D and to the original interacting particle systems.
Date Issued
2017-07-01
Date Acceptance
2017-02-01
Citation
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2017, 226 (10), pp.2345-2357
ISSN
1951-6355
Publisher
SPRINGER HEIDELBERG
Start Page
2345
End Page
2357
Journal / Book Title
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume
226
Issue
10
Copyright Statement
© 2017 The Author(s). Open Access. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000404711400012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
DIFFUSION
EQUATION
SYSTEMS
Publication Status
Published
Date Publish Online
2017-02-16