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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.9

Received: 01.11.2020



© Steklov Math. Inst. of RAS, 2024