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  • Waves and fractals

    Creator:
    Gilliland, Crystal L.
    Abstract:
    The goal of this research project is to determine the fractal nature, if any, which surface water waves exhibit when viewed on a microscopic scale. Due to the relatively recent development of this area of mathematics, a brief introduction to the study of fractal geometry, as well as several examples...
    Resource Type:
    Masters Thesis

  • The fractal structure of surface water waves near breaking

    Creator:
    Munzenmayer, Katja
    Abstract:
    The goal of this research project is to determine the fractal nature, if any, which certain surface water waves exhibit when viewed on a microscopic scale. We make use of the mathematical formulation of non-viscous fluids describing their physical properties. Using these expressions and including boundary conditions for free surfaces...
    Resource Type:
    Masters Thesis

  • Fractal solutions to the long wave equations

    Creator:
    Ajiwibowo, Harman
    Abstract:
    The fractal dimension of measured ocean wave profiles is found to be in the range of 1.5-1.8. This non-integer dimension indicates the fractal nature of the waves. Standard formulations to analyze waves are based on a differential approach. Since fractals are non-differentiable, this formulation fails for waves with fractal characteristics....
    Resource Type:
    Dissertation