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A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL
- Issue Date
- Jun-2021
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- The swarmalator model; mean-field limit; kinetic equation; strong solution; weak solution; well-posedness
- Citation
- KINETIC AND RELATED MODELS, v.14, no.3, pp.429 - 468
- Indexed
- SCIE
SCOPUS
- Journal Title
- KINETIC AND RELATED MODELS
- Volume
- 14
- Number
- 3
- Start Page
- 429
- End Page
- 468
- ISSN
- 1937-5093
- Abstract
- We present a mean-field limit of the particle swarmalator model introduced in [46] with singular communication weights. For a mean-field limit, we employ a probabilistic approach for the propagation of molecular chaos and suitable cut-offs in singular terms, which results in the validation of the meanfield limit. We also provide a local-in-time well-posedness of strong and weak solutions to the derived kinetic swarmalator equation.
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Related Researcher
- Park, Jin yeong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)