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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 ...
  • Benilov, Eugene (American Geophysical Union (AGU), 2018)
    Observations show that radii of oceanic eddies often exceed the Rossby radius of deformation, whereas theoretical studies suggest that such vortices should be unstable. The present paper resolves this paradox by presenting ...
  • 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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