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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 493, Pages 22–28
(Mi znsl6957)
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Application of Hadamard function to mathematical description of tsunami wave created by localized source
V. M. Babich St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
A special case of the Cauchy problem for two-dimensional equation with variable velocity is considered. The source of waves is localized. An approximate formula for the solution is derived. The formula contains derivatives of Hadamard's “elementary solution” of the wave equation and describes (in a linear approximation) tsunami wave from a localized source.
Key words and phrases:
localized source, Hadamard's elementary solution, tsunami wave.
Received: 01.11.2020
Citation:
V. M. Babich, “Application of Hadamard function to mathematical description of tsunami wave created by localized source”, Mathematical problems in the theory of wave propagation. Part 50, Zap. Nauchn. Sem. POMI, 493, POMI, St. Petersburg, 2020, 22–28
Linking options:
https://www.mathnet.ru/eng/znsl6957 https://www.mathnet.ru/eng/znsl/v493/p22
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Statistics & downloads: |
Abstract page: | 109 | Full-text PDF : | 42 | References: | 24 |
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