Journal article

Mean-field derivation of Landau-like equations

Abstract:: We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Carrillo, J. A., Guo, S., & Jabin, P.-E. (2024). Mean-field derivation of Landau-like equations. Applied Mathematics Letters, 158.

MLA Style

Carrillo, J. A., et al. “Mean-Field Derivation of Landau-like Equations.” Applied Mathematics Letters, vol. 158, Elsevier, 2024.

Chicago Style

Carrillo, JA, S Guo, and P-E Jabin. 2024. “Mean-Field Derivation of Landau-like Equations.” Applied Mathematics Letters 158.
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Files:: Carrillo_et_al_2025_Mean-field_derivation_of.pdf

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Publisher copy:: 10.1016/j.aml.2024.109195

Authors

+ Carrillo, JA More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author
ORCID:: 0000-0001-8819-4660

+ Guo, S More by this author

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

+ Jabin, P-E More by this author

Role:: Author

+ European Commission More from this funder

Funder identifier:: https://ror.org/00k4n6c32
Funding agency for:: Carrillo, JA
Grant:: 883363

+ U.S. National Science Foundation More from this funder

Funder identifier:: https://ror.org/021nxhr62
Funding agency for:: Jabin, P-E
Grant:: 2205694; 2219297

+ Ministerio de Ciencia, Innovación y Universidades More from this funder

Funder identifier:: https://ror.org/05r0vyz12
Funding agency for:: Carrillo, JA
Grant:: MCIN/AEI/10.13039/501100011033/

+ Engineering and Physical Sciences Research Council More from this funder

Funder identifier:: https://ror.org/0439y7842
Funding agency for:: Carrillo, JA
Grant:: EP/V051121/1

Publisher:: Elsevier
Journal:: Applied Mathematics Letters More from this journal
Volume:: 158
Article number:: 109195
Publication date:: 2024-06-09
Acceptance date:: 2024-06-07
DOI:: 10.1016/j.aml.2024.109195
EISSN:: 1873-5452
ISSN:: 0893-9659

Language:: English
Keywords:: mean-field limit

relative entropy

space homogeneous Landau equation

interacting particle systems
Pubs id:: 1922466
Local pid:: pubs:1922466
Deposit date:: 2024-06-07

Terms of use

Copyright holder:: Carrillo et al.
Copyright date:: 2024
Rights statement:: © 2024 The Authors. Published by Elsevier Ltd. This is is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Licence:: CC Attribution (CC BY)

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