4.6 Article

FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X19500178

Keywords

Variational Theory; Shallow Water Theory; Fractal Calculus; Tsunami Science

Funding

  1. National Natural Science Foundation of China [U1504403, 51774116]
  2. Scientific and Technological Project of Department of Science & Technology of Henan Province [182102210320]
  3. Postdoctoral Research Fund of Henan Province

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Tsunami traveling in an unsmooth boundary is studied, where the boundary is considered as a fractal surface, and mass conservation and moment conservation in a fractal space are established, and a fractal derivative-based tsunami model is established. Other discontinuous boundaries can be treated in a similar way.

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