Becker, E.; Hiller, W. J.; Kowalewski, T. A. Nonlinear dynamics of viscous droplets. (English) Zbl 0818.76009 J. Fluid Mech. 258, 191-216 (1994). 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. Reviewer: Wang Jinghua (Beijing) Cited in 8 Documents MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids 76D45 Capillarity (surface tension) for incompressible viscous fluids 35R35 Free boundary problems for PDEs Keywords:large-amplitude oscillations; mode expansions; Gauss variational principle; boundary integral method; Galerkin finite element method PDFBibTeX XMLCite \textit{E. Becker} et al., J. Fluid Mech. 258, 191--216 (1994; Zbl 0818.76009) Full Text: DOI References: [1] Prosperetti, J. Méc. 19 pp 149– (1980) [2] Prosperetti, Q. Appl. Maths 35 pp 339– (1977) [3] DOI: 10.1016/0021-9991(91)90010-I · Zbl 0738.76053 [4] Brosa, Z. Naturforsch. 41a pp 1141– (1986) [5] Boberg, Z. Naturforsch. 43a pp 697– (1988) [6] DOI: 10.1017/S0022112091003361 · Zbl 0728.76114 [7] DOI: 10.1017/S002211209200199X · Zbl 0775.76032 [8] DOI: 10.1145/7921.214331 · Zbl 0613.65013 [9] DOI: 10.1017/S0022112087002544 · Zbl 0645.76060 [10] DOI: 10.1017/S0022112088003076 · Zbl 0645.76110 [11] Hiller, Phys. Chem. Hydrodyn. 11 pp 103– (1989) [12] DOI: 10.1007/BF02241732 · Zbl 0217.53001 [13] DOI: 10.1016/0375-9474(89)90680-5 [14] Wilkening, c’t 1 pp 70– (1992) [15] DOI: 10.1017/S0022112083002864 · Zbl 0517.76104 [16] Stückrad, Exp. Fluids 29 pp 71– (1993) [17] Rayleigh, Proc. R. Soc. Lond. 29 pp 71– (1899) [18] DOI: 10.1017/S0022112080001188 · Zbl 0445.76086 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.