Large friction-high force fields limit for the nonlinear Vlasov–Poisson–Fokker–Planck system

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-03-23 DOI:10.3934/krm.2021052

J. Carrillo, Young-Pil Choi, Yingping Peng

引用次数: 6

Abstract

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 is a diffusive model with nonlocal velocity fields often referred to as aggregation-diffusion equations. We show that a weak solution to the Vlasov–Poisson–Fokker–Planck system strongly converges to a strong solution to the diffusive model. Our proof relies on the modulated macroscopic kinetic energy estimate based on the weak-strong uniqueness principle together with a careful analysis of the Poisson equation.

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非线性Vlasov-Poisson-Fokker-Planck系统的大摩擦-高力场极限

本文对具有大线性摩擦力和高力场的非线性Vlasov-Poisson-Fokker-Planck系统进行了定量渐近分析。极限系统是具有非局部速度场的扩散模型，通常称为聚集-扩散方程。我们证明了Vlasov-Poisson-Fokker-Planck系统的弱解强收敛于扩散模型的强解。我们的证明依赖于基于弱-强唯一性原理的调制宏观动能估计以及对泊松方程的仔细分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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