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Nonlinear dynamics of viscous droplets. (English) Zbl 0818.76009

A new model for nonlinear oscillations of viscous droplets has been developed based on mode expansions with modified solutions of linear problems and on the application of the Gauss variational principle. Results presented are in very good agreement with experimental data up to oscillation amplitudes of 80% of the unperturbed droplet radius. Large- amplitude oscillations agree also well with numerical results by boundary integral method and by Galerkin finite element method.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76D45 Capillarity (surface tension) for incompressible viscous fluids
35R35 Free boundary problems for PDEs
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