Moving stone in the Hele-Shaw flow
arXiv:1404.3547 · doi:10.1112/S0025579314000461
Abstract
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.
29 pages, 14 figures