HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

doi:10.1016/S0252-9602(08)60096-X

数学物理学报(英文版)

HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

姚正安; 赵红星

中山大学数学系, 广州 510275

收稿日期:2005-10-12 修回日期:2006-04-26 出版日期:2008-10-20 发布日期:2008-10-20
通讯作者: 姚正安
基金资助:
The research is partially supported by National Natural Science Foundation of China (10171113 and 10471156) and Natural Science Foundation of Guangdong (4009793)

HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

Yao Zhengan; Zhao Hongxing

Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

Received:2005-10-12 Revised:2006-04-26 Online:2008-10-20 Published:2008-10-20
Contact: Yao Zhengan

摘要/Abstract

摘要：

The article studies the homogenization of a stationary Navier-Stokes
fluid in porous medium with thin film under Dirichlet boundary condition. At the end of the article, "Darcy’s law" is rigorously derived from this model as the parameter ε tends to zero, which is independent of the coordinates towards the thickness.

关键词: Homogenization, convergence, Navier-Stokes, porous medium, thin film

Abstract:

Key words: Homogenization, convergence, Navier-Stokes, porous medium, thin film

中图分类号:

76D05

姚正安; 赵红星. HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM[J]. 数学物理学报(英文版), 2008, 28(4): 963-974.

Yao Zhengan; Zhao Hongxing. HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM[J]. Acta mathematica scientia,Series B, 2008, 28(4): 963-974.

[1]	何躏, 廖勇凯, 王涛, 赵会江. ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY[J]. 数学物理学报(英文版), 2018, 38(5): 1515-1548.
[2]	黄飞敏, 王勇. MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION[J]. 数学物理学报(英文版), 2018, 38(5): 1549-1566.
[3]	秦毅, 侯延仁. OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL[J]. 数学物理学报(英文版), 2018, 38(4): 1361-1369.
[4]	高志强. A NOTE ON EXACT CONVERGENCE RATE IN THE LOCAL LIMIT THEOREM FOR A LATTICE BRANCHING RANDOM WALK[J]. 数学物理学报(英文版), 2018, 38(4): 1259-1268.
[5]	丁小丽, 蒋耀林. NONNEGATIVITY OF SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL-ALGEBRAIC EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(3): 756-768.
[6]	张建林, 秦玉明. EXACT SOLUTIONS FOR THE CAUCHY PROBLEM TO THE 3D SPHERICALLY SYMMETRIC INCOMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(3): 778-790.
[7]	唐少君, 张澜. NONLINEAR STABILITY OF VISCOUS SHOCK WAVES FOR ONE-DIMENSIONAL NONISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A CLASS OF LARGE INITIAL PERTURBATION[J]. 数学物理学报(英文版), 2018, 38(3): 973-1000.
[8]	姜伟峰, 李开泰. HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY[J]. 数学物理学报(英文版), 2018, 38(3): 1057-1104.
[9]	盛洲, 袁功林, 崔曾如. A NEW ADAPTIVE TRUST REGION ALGORITHM FOR OPTIMIZATION PROBLEMS[J]. 数学物理学报(英文版), 2018, 38(2): 479-496.
[10]	段火元, 马俊华. CONTINUOUS FINITE ELEMENT METHODS FOR REISSNER-MINDLIN PLATE PROBLEM[J]. 数学物理学报(英文版), 2018, 38(2): 450-470.
[11]	Yekini SHEHU, Olaniyi. S. IYIOLA. CONVERGENCE OF HYBRID VISCOSITY AND STEEPEST-DESCENT METHODS FOR PSEUDOCONTRACTIVE MAPPINGS AND NONLINEAR HAMMERSTEIN EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 610-626.
[12]	董荣, 李东升. UNIFORM HÖLDER ESTIMATES FOR A TYPE OF NONLINEAR ELLIPTIC EQUATIONS WITH RAPIDLY OSCILLATORY COEFFICIENTS[J]. 数学物理学报(英文版), 2017, 37(6): 1841-1860.
[13]	Hakho HONG, 王腾. ZERO DISSIPATION LIMIT TO A RIEMANN SOLUTION FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS[J]. 数学物理学报(英文版), 2017, 37(5): 1177-1208.
[14]	迟晓妮, 韦洪锦, 万仲平, 朱志斌. SMOOTHING NEWTON ALGORITHM FOR THE CIRCULAR CONE PROGRAMMING WITH A NONMONOTONE LINE SEARCH[J]. 数学物理学报(英文版), 2017, 37(5): 1262-1280.
[15]	邱德华, ?陈平炎, Volodin ANDREI. COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES[J]. 数学物理学报(英文版), 2017, 37(5): 1319-1330.

HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

HOMOGENIZATION OF A STATIONARY NAVIER-STOKES FLOW IN POROUS MEDIUM WITH THIN FILM

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10