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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 493, Pages 22–28 (Mi znsl6957)  

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
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00627
Received: 01.11.2020
Document Type: Article
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Bab20}
\by V.~M.~Babich
\paper Application of Hadamard function to mathematical description of tsunami wave created by localized source
\inbook Mathematical problems in the theory of wave propagation. Part~50
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 493
\pages 22--28
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6957}
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  • https://www.mathnet.ru/eng/znsl6957
  • https://www.mathnet.ru/eng/znsl/v493/p22
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