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Browsing Mathematics & Statistics by Subject "equations"

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Browsing Mathematics & Statistics by Subject "equations"

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  • Haynes, Matthew; 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 ...
  • Kopteva, Natalia (SIAM: Society for Industrial and Applied Mathematics, 2015)
    Residual-type a posteriori error estimates in the maximum norm are given for singularly perturbed semilinear reaction-diffusion equations posed in polygonal domains. Linear finite elements are considered on anisotropic ...
  • 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 ...

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