外域线性边界条件下稳定Boltzmann方程的不可压缩Navier-Stokes-Fourier极限

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-08-11 DOI:10.1007/s00021-025-00965-9

Weijun Wu, Fujun Zhou, Yongsheng Li

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引用次数: 0

摘要

本文旨在证明具有线性边界条件的稳定玻尔兹曼方程在外域上的不可压缩的Navier-Stokes-Fourier极限。这推广了Esposito， R., Guo， Y., Marra， R.：动能气体流过障碍物的水动力极限。通讯。数学。物理学报，364,765-823(2018)，非等熵情况下，除了一个小的外力和小的温度变化之间的墙和无穷。为了构造稳定玻尔兹曼方程的唯一正解，建立了一些新的估计和一个改进的保正格式。对较小的克努森数也给出了误差估计。

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 Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain

This paper aims at justifying the incompressible Navier–Stokes–Fourier limit of the steady Boltzmann equation with linear boundary condition in an exterior domain. This generalizes the work Esposito, R., Guo, Y., Marra, R.: Hydrodynamic limit of a kinetic gas flow past an obstacle. Comm. Math. Phys. 364, 765–823 (2018), to the non-isentropic case, in addition with a small external force and a small temperature variation between the wall and infinity. Some new estimates and a refined positivity-preserving scheme are established to construct a unique positive solution to the steady Boltzmann equation. An error estimate is also provided for the small Knudsen number.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.