Journal article

Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights

Abstract:: The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results (Ayi and Duteil, 2021; Duteil, 2022) for the case of regular interactions. The approach taken here is based on transferring the kinetic target equation to a Burgers-type equation through the distribution function of the measures. The analysis leading to the stability estimates of the latter equation makes use of Kruzkov entropy type estimates adapted to deal with nonlocal source terms.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Ben-Porat, I., Carrillo, J. A., & Galtung, S. T. (2023). Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights. Nonlinear Analysis: Theory, Methods and Applications, 240.

MLA Style

Ben-Porat, I., et al. “Mean Field Limit for One Dimensional Opinion Dynamics with Coulomb Interaction and Time Dependent Weights.” Nonlinear Analysis: Theory, Methods and Applications, vol. 240, Elsevier, 2023.

Chicago Style

Ben-Porat, I, JA Carrillo, and ST Galtung. 2023. “Mean Field Limit for One Dimensional Opinion Dynamics with Coulomb Interaction and Time Dependent Weights.” Nonlinear Analysis: Theory, Methods and Applications 240.
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Files:: Ben-Porat_et_al_2023_Mean_field_limit.pdf

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Publisher copy:: 10.1016/j.na.2023.113462

Authors

+ Ben-Porat, I More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Carrillo, JA More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: Queen's College
Role:: Author
ORCID:: 0000-0001-8819-4660

+ Galtung, ST More by this author

Role:: Author

+ European Research Council More from this funder

Grant:: 883363

+ Engineering and Physical Sciences Research Council More from this funder

Grant:: EP/V051121/1

Publisher:: Elsevier
Journal:: Nonlinear Analysis: Theory, Methods and Applications More from this journal
Volume:: 240
Article number:: 113462
Publication date:: 2023-12-06
Acceptance date:: 2023-12-04
DOI:: 10.1016/j.na.2023.113462
ISSN:: 0362-546X

Language:: English
Keywords:: mean field limit

conservation laws

opinion dynamics
Pubs id:: 1578025
Local pid:: pubs:1578025
Deposit date:: 2023-12-06

Terms of use

Copyright holder:: Ben-Porat et al.
Copyright date:: 2023
Rights statement:: © 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license.

Licence:: CC Attribution (CC BY)

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