Moving stone in the Hele-Shaw flow
arXiv:1404.35475 citationsh-index: 33
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Incremental theoretical contribution to fluid dynamics for researchers studying Hele-Shaw flows with obstacles.
The paper performs asymptotic analysis of Hele-Shaw flow with a small moving obstacle, deriving uniform asymptotic formulas for Green's and Neumann functions, and validates the results with numerical simulations.
Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilises the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. Theoretical results of the paper are illustrated by the numerical simulations.