Propagation of chaos for fractional Keller Segel equations in diffusion dominated and fair competition cases-Reference-Cited by-同舟云学术

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Propagation of chaos for fractional Keller Segel equations in diffusion dominated and fair competition cases

Published:2019-12 Issue: Volume:132 Page:79-132
ISSN:0021-7824
Container-title:Journal de Mathématiques Pures et Appliquées
language:en
Short-container-title:Journal de Mathématiques Pures et Appliquées

Author:

Salem Samir

Funder

Université de Recherche Paris Sciences et Lettres

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference34 articles.

1. Lévy Processes and Stochastic Calculus;Applebaum,2004

2. Local criteria for blowup in two-dimensional chemotaxis models;Biler;Discrete Contin. Dyn. Syst., Ser. A,2017

3. Convergence of Probability Measures;Billingsley,1999

4. Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions;Blanchet;Electron. J. Differ. Equ.,2006

5. The one-dimensional Keller-Segel model with fractional diffusion of cells;Calvez;Nonlinearity,2010

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1. On the fractional heat semigroup and product estimates in Besov spaces and applications in theoretical analysis of the fractional Keller–Segel system;Boletín de la Sociedad Matemática Mexicana;2024-08-31

2. A characterization of L-maximal regularity for time-fractional systems in UMD spaces and applications;Journal of Differential Equations;2024-04

3. Existence of global solutions for cross-diffusion models in a fractional setting;Electronic Journal of Differential Equations;2023-11-10

4. Spatiotemporal dynamics in epidemic models with Lévy flights: A fractional diffusion approach;Journal de Mathématiques Pures et Appliquées;2023-05

5. Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes;Journal of Nonlinear Science;2022-10-05

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