Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media
文献类型：期刊论文
| 作者 | Chen, ZM ; Deng, WB; Ye, HA
|
| 刊名 | COMMUNICATIONS IN MATHEMATICAL SCIENCES
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 3期号:4页码:493-515 |
| 关键词 | upscaling nonlinear parabolic equation heterogeneous porous media |
| ISSN号 | 1539-6746 |
| 英文摘要 | We develop an upscaling method for the nonlinear parabolic equation partial derivative(t)b(u(epsilon)) - del . (g(epsilon)(x, u(epsilon)) + a(epsilon)(x,u(epsilon))del u(epsilon)) = f(x, t), which stems from the applications of the flow transport in porous media. Our direct motivation is the Richards equation which models the flow transport in unsaturated porous media. We provide a detailed convergence analysis of the method under the assumption that the oscillating coefficients are periodic. While such a simplifying assumption is not required by our method, it allows us to use homogenization theory to obtain the asymptotic structure of the solutions. Numerical experiments are carried out for the Richards equation of exponential model with periodic and randomly generated log-normal permeability to demonstrate the efficiency and accuracy of the proposed method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235557800002 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2378]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, ZM |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Deng, WB,Ye, HA. Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2005,3(4):493-515. |
| APA | Chen, ZM,Deng, WB,&Ye, HA.(2005).Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media.COMMUNICATIONS IN MATHEMATICAL SCIENCES,3(4),493-515. |
| MLA | Chen, ZM,et al."Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media".COMMUNICATIONS IN MATHEMATICAL SCIENCES 3.4(2005):493-515. |
入库方式： OAI收割
来源：数学与系统科学研究院
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