不可压缩多孔介质方程的转化
Transformation of Incompressible Porous Media Equation
DOI: 10.12677/PM.2023.138245, PDF,   
作者: 杨凯歌：成都理工大学数理学院，四川 成都
关键词: IPM方程；不可压缩；转化；IPM Equation； Incompressible； Transform
摘要: 本文主要介绍了不可压缩多孔介质方程的大概背景，对不可压缩多孔介质方程组的转化做了推导，使得方程组变得更加简洁，并简要介绍了近几年的研究成果。
Abstract: This paper mainly introduces the background of incompressible porous media equations, deduces the conversion process of incompressible porous media equations, makes the equations more concise, and briefly introduces the research results in recent years.
文章引用：杨凯歌. 不可压缩多孔介质方程的转化[J]. 理论数学, 2023, 13(8): 2374-2377. https://doi.org/10.12677/PM.2023.138245

参考文献

[1] Nield, D.A. and Bejan, A. (2006) Convection in Porous Media. 3rd Edition, Springer, New York.
[2] Elgindi, T. (2017) On the Asymptotic Stability of Stationary Solutions of the Inviscid Incompressible Porous Medium Equation. Archive for Rational Mechanics and Analysis, 225, 573-599. [Google Scholar] [CrossRef] 
[3] Castro, A., Córdoba, D. and Lear, D. (2019) Global Existence of Quasi-Stratified Solutions for the Confined IPM Equation. Archive for Rational Mechanics and Analysis, 232, 437-471. [Google Scholar] [CrossRef] 
[4] Córdoba, D. and Gancedo, F. (2007) Contour Dynamics of Incompressible 3-D Fluids in a Porous Medium with Different Densities. Communications in Mathematical Physics, 273, 445-471. [Google Scholar] [CrossRef] 
[5] Córdoba, D., Gancedo, F. and Orive, R. (2007) Analytical Behavior of Two-Dimensional Incompressible Flow in Porous Media. Journal of Mathematical Physics, 48, Article ID: 065206. [Google Scholar] [CrossRef] 

为你推荐