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The LGL (Lighthill–Gueron–Liron) Theorem—historical perspective and critique
Author(s) -
Liron Nadav
Publication year - 2001
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.217
Subject(s) - gravitational singularity , mathematics , multitude , perspective (graphical) , calculus (dental) , mathematical analysis , geometry , philosophy , epistemology , medicine , dentistry
The 1970s saw a series of works on the modelling of slender bodies moving in slow flow ( Re =0), instigated by the interest to understand the principles underlying the swimming of ciliates and flagellates. It was Lighthill in 1975, who wrote down the first theorem connecting slender body motion and singularities distributions along the centre line. This paper will describe the historical development from the early results through Lighthill's theorem to the Gueron–Liron Theorem, which enables discrete‐cilia modelling, i.e., modelling of a multitude of slender bodies attached to a surface. Copyright © 2001 John Wiley & Sons, Ltd.