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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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},
     year = {2020},
     volume = {493},
     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
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a1/
LA  - ru
ID  - ZNSL_2020_493_a1
ER  - 
%0 Journal Article
%A V. M. Babich
%T Application of Hadamard function to mathematical description of tsunami wave created by localized source
%J Zapiski Nauchnykh Seminarov POMI
%D 2020
%P 22-28
%V 493
%U http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a1/
%G ru
%F ZNSL_2020_493_a1
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/

[1] E. N. Pelinovskii, Gidrodinamika voln tsunami, IPF RAN, Nizhnii Novgorod, 1996

[2] S. Yu. Dobrokhotov, A. Yu. Anikin, “O priblizhenii reshenii dvumernogo volnovogo uravneniya c peremennoi skorostyu i lokalizovannoi pravoi chastyu s pomoschyu nekotorykh “prostykh” reshenii”, Matem. zametki, 100:6 (2016), 825–837 | Zbl

[3] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1958

[4] Zh. Adamar, Zadacha Koshi dlya lineinykh uravnenii s chastnymi proizvodnymi giperbolicheskogo tipa, Nauka, M., 1978

[5] C. Yu. Dobrokhotov, S. Ya. Sekerzh-Zenkovich, “Odin klass tochnykh algebraicheskikh lokalizovannykh reshenii mnogomernogo volnovogo uravneniya”, Matem. zametki, 88:6 (2010), 942–945 | Zbl