상세 보기
A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL
- Ha, Seung-Yeal;
- Jung, Jinwook;
- Kim, Jeongho;
- Park, Jinyeong;
- Zhang, Xiongtao
Citations
WEB OF SCIENCE
18Citations
SCOPUS
18초록
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.
키워드
The swarmalator model; mean-field limit; kinetic equation; strong solution; weak solution; well-posedness; PHASE-LOCKED STATES; CUCKER-SMALE MODEL; KURAMOTO MODEL; SYNCHRONIZATION; DYNAMICS; BEHAVIOR; VLASOV; PROPAGATION; COLLISIONS; EXISTENCE
- 제목
- A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL
- 저자
- Ha, Seung-Yeal; Jung, Jinwook; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
- 발행일
- 2021-06
- 유형
- Article
- 권
- 14
- 호
- 3
- 페이지
- 429 ~ 468
- 언어
- ENG
- 출판사
- AMER INST MATHEMATICAL SCIENCES-AIMS
- 발행국가
- 미국
- 분량
- 40 페이지
- ISSN
- E 1937-5077
P 1937-5093