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Abstract
Beginning with addition and multiplication intrinsic to a Koch-type curve, we formulate and solve wave equation describing wave propagation along a fractal coastline. As opposed to examples known from the literature, we 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. The theory is relativistically covariant under an appropriately defined Lorentz group.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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ACTA PHYSICA POLONICA B
no. 50,
pages 813 - 831,
ISSN: 0587-4254 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Czachor M.: Waves Along Fractal Coastlines: From Fractal Arithmetic to Wave Equations// ACTA PHYSICA POLONICA B -Vol. 50,iss. 4 (2019), s.813-831
- DOI:
- Digital Object Identifier (open in new tab) 10.5506/aphyspolb.50.813
- Verified by:
- Gdańsk University of Technology
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