Application of Hadamard function to mathematical description of tsunami wave created by localized source
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 50, Tome 493 (2020), pp. 22-28
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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.
@article{ZNSL_2020_493_a1,
author = {V. M. Babich},
title = {Application of {Hadamard} function to mathematical description of tsunami wave created by localized source},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {22--28},
publisher = {mathdoc},
volume = {493},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a1/}
}
TY - JOUR AU - V. M. Babich TI - Application of Hadamard function to mathematical description of tsunami wave created by localized source JO - Zapiski Nauchnykh Seminarov POMI PY - 2020 SP - 22 EP - 28 VL - 493 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a1/ LA - ru ID - ZNSL_2020_493_a1 ER -
V. M. Babich. Application of Hadamard function to mathematical description of tsunami wave created by localized source. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 50, Tome 493 (2020), pp. 22-28. http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a1/