Mean field limit and quantitative estimates with singular attractive kernels-Reference-Cited by-同舟云学术

Mean field limit and quantitative estimates with singular attractive kernels

Published:2023-09-15 Issue:13 Volume:172 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Bresch Didier¹,Jabin Pierre-Emmanuel²,Wang Zhenfu³

Affiliation:

1. Laboratoire de Mathématiques, CNRS UMR 5127, Université Savoie Mont-Blanc, Le Bourget-du-Lac, France

2. Department of Mathematics and Huck Institutes, Pennsylvania State University, State College, Pennsylvania, USA

3. Beijing International Center for Mathematical Research, Peking University, Beijing, People’s Republic of China

Publisher

Duke University Press

Subject

General Mathematics

Reference44 articles.

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2. J. BEDROSSIAN and N. MASMOUDI, Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in $R^{2}$ with measure-valued initial data, Arch. Ration. Mech. Anal. 214 (2014), no. 3, 717–801.

3. G. BEN AROUS and M. BRUNAUD, Méthode de Laplace: étude variationnelle des fluctuations de diffusions de type “champ moyen”, Stoch. Stoch. Rep. 31 (1990), no. 1–4, 79–144.

4. G. BEN AROUS and O. ZEITOUNI, Increasing propagation of chaos for mean field models, Ann. Inst. Henri Poincare Prob. Stat. 35, no. 1, 85–102 (1999).

5. A. BLANCHET, J. DOLBEAULT, and B. PERTHAME, Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions, Electron. J. Differential Equations 2006, no. 44.

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