Hele-Shaw flow with a small obstacle

Meccanica - Tập 49 - Trang 2037-2047 - 2014
Gennady Mishuris1, Sergei Rogosin1,2, Michal Wrobel1
1Department of Mathematical and Physical Sciences, Aberystwyth University, Ceredigion, UK
2Department of Economics, Belarusian State University, Minsk, Belarus

Tóm tắt

Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green’s and Neumann functions recently obtained by Maz’ya and Movchan. Theoretical results are illustrated by the numerical simulations.

Tài liệu tham khảo

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