Geodesic
A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 49, Tome 483 (2019), pp. 69-78

Voir la notice de l'article provenant de la source Math-Net.Ru

A nonstationary problem of diffraction of acoustic waves excited by a point source by an interface between two acoustic media with positive effective curvature is considered. This is a model problem for wave phenomena arising near the ocean bottom in the approximation of the “liquid bottom”. Using the complex analysis techniques, we proposed a method for finding the exact solution to the studied class of problems. We propose a method for constructing exact solutions in the form of an integral representation of the problem stated. 
@article{ZNSL_2019_483_a4,
     author = {G. L. Zavorokhin and A. A. Matskovskiy},
     title = {A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--78},
     publisher = {mathdoc},
     volume = {483},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a4/}
}
TY  - JOUR
AU  - G. L. Zavorokhin
AU  - A. A. Matskovskiy
TI  - A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2019
SP  - 69
EP  - 78
VL  - 483
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a4/
LA  - ru
ID  - ZNSL_2019_483_a4
ER  - 
%0 Journal Article
%A G. L. Zavorokhin
%A A. A. Matskovskiy
%T A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature
%J Zapiski Nauchnykh Seminarov POMI
%D 2019
%P 69-78
%V 483
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a4/
%G ru
%F ZNSL_2019_483_a4
G. L. Zavorokhin; A. A. Matskovskiy. A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 49, Tome 483 (2019), pp. 69-78. http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a4/