Detecting complex singularities of a Hele-Shaw flow

We describe a numerical method to measure the location and strength of complex singularities of a Hele-Shaw flow. We are able to detect the singularities with exponent (close to) $-4/3$, predicted by perturbative calculations. We also give numerical evidence for a new mechanism of singularity genera...

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Bibliographic Details
Published inEurophysics letters Vol. 37; no. 4; pp. 263 - 268
Main Authors Elezgaray, J, Petit, P, Bonnier, B
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.02.1997
EDP Sciences
European Physical Society / EDP Sciences / Società Italiana di Fisica / IOP Publishing
Subjects
03.40.Gc
47.20.-k
68.10-m
Physics
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Summary:We describe a numerical method to measure the location and strength of complex singularities of a Hele-Shaw flow. We are able to detect the singularities with exponent (close to) $-4/3$, predicted by perturbative calculations. We also give numerical evidence for a new mechanism of singularity generation.
Bibliography:ark:/67375/80W-MJ65KW4C-L
istex:7E16F33732A8EAF8282064FE5FA1D76D9A51BC55
publisher-ID:37405
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i1997-00141-0