Abstract
Asymptotic analysis of the Hele-Shaw flow with a small moving
obstacle is performed. The method of solution utilizes the uniform asymptotic
formulas for Green’s and Neumann functions recently obtained by V. Maz’ya
and A. Movchan. The theoretical results of the paper are illustrated by numerical
simulations.
obstacle is performed. The method of solution utilizes the uniform asymptotic
formulas for Green’s and Neumann functions recently obtained by V. Maz’ya
and A. Movchan. The theoretical results of the paper are illustrated by numerical
simulations.
Original language | English |
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Pages (from-to) | 457-474 |
Number of pages | 18 |
Journal | Mathematika |
Volume | 61 |
Issue number | 2 |
Early online date | 08 Apr 2015 |
DOIs | |
Publication status | Published - 09 May 2015 |
Keywords
- UNIFORM ASYMPTOTICS
- BOUNDARY-PROBLEM
- GREENS KERNELS
- TOOLBOX
- DOMAINS
- MATLAB