C S Riera and E Risler 2002 Nonlinearity 15 1843 doi:10.1088/0951-7715/15/6/307
C S Riera1 and E Risler2
Show affiliationsRecommended by G Morriss
Equations governing the shape of a static axisymmetric capillary surface can be viewed as a dynamical system. This point of view enables us to recover the existence of pendent drops having arbitrarily many bumps and to depict the asymptotic shape of long drops (displaying a large number of bumps). We also recover the existence of a singular pendent drop of infinite length, as a limit of pendent drops of large length. Finally we provide a classification of all solutions according to their dynamical behaviour.
68.03.Kn Dynamics (capillary waves)
47.55.dm Thermocapillary effects
02.30.Hq Ordinary differential equations
02.60.Lj Ordinary and partial differential equations; boundary value problems
76D45 Capillarity (surface tension) (See also 76B45)
Issue 6 (November 2002)
Received 14 February 2001, in final form 17 July 2002
Published 23 September 2002
C S Riera and E Risler 2002 Nonlinearity 15 1843
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