半静态可压缩斯托克斯问题的显式解决方案

IF 1.7 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY International Journal of Theoretical Physics Pub Date : 2024-06-14 DOI:10.1007/s10773-024-05693-w

Hongxia Xue, Jianwei Dong

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引用次数: 0

摘要

本文提出了二维和三维半静态可压缩斯托克斯问题的一些显式解法，该问题是等熵可压缩纳维-斯托克斯方程的一个重大简化。在显式解中，密度是时间函数，以指数速度减小到零，速度是时间函数和关于空间变量的二次多项式的组合。

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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Explicit Solutions for the Semi-Stationary Compressible Stokes Problem

In this paper, we present some explicit solutions for the 2D and 3D semi-stationary compressible Stokes problem, which is a gross simplification of the isentropic compressible Navier-Stokes equations. For the explicit solutions, the density is a function of time which decreases to zero at an exponential rate and the velocity is a combination of a time function and a quadratic polynomial with respect to the space variables.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.