Nonlinear Surface Waves in Three Dimensions

  • Andrei LuduEmail author
Part of the Springer Series in Synergetics book series (SSSYN)


The study of shape oscillations of drops has a wide variety of applications at different space and time scales. At microscopic scales this includes the liquid drop models of nuclei, especially heavy nuclei, super- and hyperdeformed nuclei, nuclear breakup and fission, where the surface energy plays an important role. They also play a role in the modeling of atomic clusters and clouds of electrons in high magnetic fields. Zooming out from the Angstr{o}m scale, the study of drops is important in the study of motion and swimming of motile cells, and cellular division in biological systems. Bubble sonoluminescence represents a recent application of bubbles and droplets formed inside the bubbles [328, 326]. At lab scale there is a huge spectrum of applications, including container-less liquid processing in space, rheological and surfactant theory, pharmaceutical industry, mixture of fluids in droplet form, behavior of long wavelet jets emitted from noncircular orifices, coalescence of liquid drops [219], and surface oscillations of liquid drops, bubbles, and shells in combination with surfactants. At larger scales drops are important for calculations of the radar cross-section of rain clouds, modeling of impacts between stellar objects and neutron star tides, important for the gravitational waves emitted by such oscillations.


Solitary Wave Spherical Harmonic Travel Wave Solution Liquid Drop Surface Tension Coefficient 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of MathematicsEmbry-Riddle Aeronautical UniversityDaytona BeachUSA

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