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Beginning with addition and multiplication which are intrinsic to a Koch-type curve, I formulate and solve a wave equation that describes wave propagation along a fractal coastline. As opposed to… Click to show full abstract
Beginning with addition and multiplication which are intrinsic to a Koch-type curve, I formulate and solve a wave equation that describes wave propagation along a fractal coastline. As opposed to the examples known from the literature I do not replace the fractal by the continuum in which it is embedded. This seems to be the first example of a truly intrinsic description of wave propagation along a fractal curve.
Keywords:
arithmetic wave;
along fractal;
coastlines fractal;
waves along;
fractal coastlines;
fractal arithmetic
Journal Title: Acta Physica Polonica B
Year Published: 2019
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Journal Title: Acta Physica Polonica B
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!