Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics
Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics
复制标题
薄域的二维收敛及其在流体力学低维模型中的应用
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
E. Marušić‐Paloka
中科院分区：
文献类型：
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作者：
S. Marušić;E. Marušić‐Paloka
基于均匀化理论的类似思想，本文引入了允许低维近似的薄域的两尺度收敛的概念。我们证明了紧性定理，类似于均匀化理论。利用这些结果，我们推导出低维近似的情况下的势流在细管，退化的Reynolds方程的薄区域与尖锐的边缘，和一维近似的幂律流在细管。
Inspird by similar ideas from the homogenization theory, it this paper we introduce the notion of two-scale convergence for thin domains that allow lower-dimensional approximation. We prove the compactness theorems, analogous to the one in homogenization theory. Using those results we derive lower-dimensional approximations in case of potential flow in thin pipe, the degenerated Reynolds equation for thin domain with sharp edge, and 1D approximation for power-law flow in thin pipe.