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math.AP2023
Global existence and decay rates to self-consistent chemotaxis-fluid system
Jose A. Carrillo, Yingping Peng, Zhaoyin Xiang
In this paper, we investigate a chemotaxis-fluid system involving both the effect of potential force on cells and the effect of chemotactic force on fluid: \begin{equation*} \left\…
math.AP2021
Large friction-high force fields limit for the nonlinear Vlasov--Poisson--Fokker--Planck system
José A. Carrillo, Young-Pil Choi, Yingping Peng
We provide a quantitative asymptotic analysis for the nonlinear Vlasov--Poisson--Fokker--Planck system with a large linear friction force and high force-fields. The limiting system…
math.AP2019
Relative Entropy Method for the relaxation limit of Hydrodynamic models
José A. Carrillo, Yingping Peng, Aneta Wróblewska-Kamińska
We show how to obtain general nonlinear aggregation-diffusion models, including Keller-Segel type models with nonlinear diffusions, as relaxations from nonlocal compressible Euler-…