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A mixing procedure of two viscous fluids using some homogenization tools

✍ Scribed by L. Baffico; C. Conca

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
165 KB
Volume
190
Category
Article
ISSN
0045-7825

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✦ Synopsis

A mathematical mixing procedure of two homogeneous viscous Β―uids is proposed. These Β―uids are separated by a rapidly oscillating interface of period and constant amplitude. The mixture is obtained in a region around the interface as tends to zero. The so-called homogenization equation, which governs the mixture behavior, is presented. Using standard homogenization tools and a compactness result, the convergence of the Β―uid velocity to the corresponding homogenized solution is proved. An analogous result for the Β―uid pressure is also studied.

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