Journal article
Interacting particle approximation of cross-diffusion systems
- Abstract:
- We prove the existence of weak solutions of a class of multi-species cross-diffusion systems as well as the propagation of chaos result by means of nonlocal approximation of the nonlinear diffusion terms, coupling methods and compactness arguments. We also prove the uniqueness under further structural assumption on the mobilities by combining the uniqueness argument for viscous porous medium equations and linear Fokker-Planck equations. We show that these equations capture the macroscopic behavior of stochastic interacting particle systems if the localisation parameter is chosen logarithmically with respect to the number of particles.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 519.1KB, Terms of use)
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- Publisher copy:
- 10.1088/1361-6544/ae3655
Authors
- Publisher:
- IOP Publishing
- Journal:
- Nonlinearity More from this journal
- Volume:
- 38
- Issue:
- 2
- Article number:
- 025009
- Publication date:
- 2024-02-18
- Acceptance date:
- 2026-01-09
- DOI:
- EISSN:
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1361-6544
- ISSN:
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0951-7715
- Language:
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English
- Keywords:
- Pubs id:
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1626327
- Local pid:
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pubs:1626327
- Deposit date:
-
2026-01-10
- ARK identifier:
Terms of use
- Copyright holder:
- Carrillo and Guo
- Copyright date:
- 2026
- Rights statement:
- ©2026 The Authors. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
- Licence:
- CC Attribution (CC BY)
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