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arXiv:1707.06225 [math.DS]AbstractReferencesReviewsResources

Waves along fractal coastlines: From fractal arithmetic to wave equations

Marek Czachor

Published 2017-07-18Version 1

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.

Comments: First version of the paper was submitted to arXiv on 9 Jul 2017
Categories: math.DS, nlin.CD, nlin.PS
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