恒温非线性Vlasov-Fokker-Planck方程的不可压缩欧拉极限

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-14 DOI:10.1016/j.aml.2025.109721

Young-Pil Choi , Jinwook Jung

引用次数: 0

摘要

在Strouhal数和Knudsen数分别为St=和Kn= q的情况下，我们考虑了一类具有恒定温度的非线性Vlasov-Fokker-Planck方程的不可压缩欧拉极限。利用相对熵法和均匀矩界，证明了环面上不可压缩欧拉方程的弱解收敛于耗散解。

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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Incompressible Euler limits from a nonlinear Vlasov–Fokker–Planck equation with constant temperature

We consider the incompressible Euler limit of a nonlinear Vlasov–Fokker–Planck equation with constant temperature, under a regime where the Strouhal and Knudsen numbers scale as

St = ɛ

and

Kn = ɛ^{q}

for

q > 1

. Using relative entropy methods and uniform moment bounds, we show that weak solutions converge to dissipative solutions of the incompressible Euler equations on the torus.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.