在纳维-斯托克斯方程中考虑高阶异质性的动力学方法

IF 0.8 4区物理与天体物理 Q4 PHYSICS, APPLIED Technical Physics Letters Pub Date : 2024-09-13 DOI:10.1134/s1063785024700500

S. O. Gladkov, Zaw Aung

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引用次数: 0

摘要

摘要提出了一种利用波尔兹曼动力学方程推导纳维-斯托克斯方程的方法，其中考虑到了拉普拉斯算子上任何阶次的不均匀性。该求解方法基于非平衡现象理论和熵增原理。通过计算找到了纳维-斯托克斯方程右侧拉普拉斯算子上的附加不均匀项。预测了静态抛物线方程的新型基本解，这对应用于解决一些数学物理问题具有重要意义。

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On the Kinetic Approach with Allowance for Higher-Order Heterogeneities in the Navier–Stokes Equation

Abstract

A method for deriving the Navier–Stokes equation with allowance for inhomogeneities of any order on the Laplace operator using the Boltzmann kinetic equation is proposed. The solution method is based on the theory of nonequilibrium phenomena and the entropy growth principle. The calculation has been carried out to find additional inhomogeneous terms on the Laplace operator in the right-hand side of the Navier–Stokes equation. New-type fundamental solutions to the stationary parabolic equation have been predicted, which are significant for application in solving some problems of mathematical physics.

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来源期刊

Technical Physics Letters 物理-物理：应用

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

2-4 weeks

期刊介绍： Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.