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Browsing Mathematics & Statistics by Author "Benilov, Eugene"

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Browsing Mathematics & Statistics by Author "Benilov, Eugene"

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  • Haynes, M; O'Brien, Stephen B.G.; Benilov, Eugene (AIP Publishing, 2016)
    This paper uses asymptotic techniques to find the shape of a two dimensional liquid bridge suspended between two vertical walls. We model the equilibrium bridge shape using the Laplace-Young equation. We use the Bond number ...
  • Cummins, Cathal Pádraig (University of Limerick, 2014)
    In the first part of the thesis, the evolution of a three-dimensional liquid drop on an inclined substrate oscillating vertically is examined. The oscillations are assumed to be weak and slow, which effectively makes the ...
  • Benilov, Eugene (European Geosciences Union (EGU) International, 1999)
    The evolution of tracer "injected" into an equivalent barotropic eddy on the beta-plane is examined numerically. The eddy is governed by the standard quasigeostrophic equation, and the concentration of tracer is governed ...
  • Lapin, Vladimir Nikolaevich (University of Limerick, 2011)
    The present thesis studies the problem of scattering of large-scale waves by surface currents in the ocean. It has been known for more than a century that corresponding linear equations governing propagation of small ...
  • Benilov, Eugene; Benilov, M.S (American Physical Society, 2016)
    We examine a rarefied gas with inter-molecular attraction. It is argued that the attraction force amplifies random density fluctuations by pulling molecules from lower-density regions into high-density regions and thus may ...
  • Sedakov, Roman Olegovich (University of Limerick, 2012)
    The present thesis studies the problem of existence and stability of spatial periodic solutions of the extended Cahn–Hilliard equation. The extended Cahn–Hilliard equation is a well-known model that describes the process ...
  • Benilov, Eugene (American Physical Society, 2016)
    We examine the stability of a vertical liquid bridge between two vertically vibrating, coaxial disks. Assuming that the vibration amplitude and period are much smaller than the mean distance between the disks and the global ...
  • Benilov, Eugene; Cummins, C.P (American Institute of Physics, 2013)
    We study the stability of a static liquid column rising from an infinite pool, with its top attached to a horizontal plate suspended at a certain height above the pool's surface. Two different models are employed for the ...
  • Benilov, Eugene; Barros, Ricardo; O'Brien, Stephen B.G. (American Physical Society, 2016)
    We investigate the stability of thin liquid curtains with respect to two-dimensional perturbations. The dynamics of perturbations with wavelengths exceeding (or comparable to) the curtain's thickness are examined using the ...
  • Benilov, Eugene (MDPI, 2017)
    This paper presents a model which yields examples of stable vortices in a continuously stratified rotating fluid, thus providing a possible explanation of the observed longevity of oceanic eddies. The model is based on ...

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