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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1988, Volume 173

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Mathematical problems in the theory of wave propagation. Part 18


Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic
I. V. Andronov
6
Wave propagation throgh a thin layer
V. M. Babich
20
To the Kac problem of a reconstruction of the area shape by the spectrum of the Dirichlet problem
M. I. Belishev
30
The nonlinear Schrödinger equation with variable coefficients: concentrated solution and its break
M. A. Bisyarin
42
Effect of a medium motion generated by the internal gavity wave on the point source field in the deep ocean
N. S. Grigor'eva
48
Shortwave grazing scattering of a plane wave on a smooth periodic boundary. II. Diffraction on an infinite periodic boundary
V. V. Zalipaev, M. M. Popov
60
Two-parameter asymptotic formulas for space-time Gaussian beams in an elastic media
A. P. Katchalov
87
Asymptotics of the Jost-function for the two-dimensional Schrödinger operator
A. P. Katchalov, Ya. V. Kurylev
96
Calculation of successive approximations by the space-time asymptotic Gaussian beam method
N. Ya. Kirpichnikova
104
On one waves in media, containing of loosely bonded interface
P. V. Krauklis, L. A. Krauklis
113
Wave propagation particularities in the layered models of cracked media
L. A. Molotkov
123
Waves crossing the highvelocity elastic layer
N. S. Smirnova
134
Diffraction of the plane waves on conical obstacles
V. P. Smyshlyaev
142
Concentration of solutions near the limiting ray in the neighbourhood of a boundary flex point
V. P. Smyshlyaev
155
Breaking of weak shock waves in a shallow water
Hoang Van Tao
159
Conditions of a contact of elastic media with a thin layer
S. K. Tleukenov
163
Disposition of the dispersion equation roots for a wave guide being periodical and inhomogeneous with the depth
S. K. Tleukenov
167
Dispersion of non-stationary $SV$ Rayleigh waves near the surface of an inhomogeneous elastic body
Z. A. Yanson
172


© Steklov Math. Inst. of RAS, 2025