"Zapiski Nauchnyh Seminarov POMI"
VOL. 239
This issue is entitled "Mathematical Problems in the Theory of Wave
Propagation. Part 26"
editor V. M. Babich
This volume contains several papers related to diffraction theory and
wave propagation theory. The variety of themes of this issue reflects the
diversity of interrelations between the theory of wave phenomena and modern
mathematics.
Presented here are asymptotics methods of mathematical physics,
Wiener-Hopf's techniques, new approaches to the inverse problem of
diffraction theory, matrix methods allowing the construction of new
mathematical models of complicated geophysical media, and many
other problems.
Contents
- Aref'ev A.V., Kiselev A. P. Viscoelastic Love waves in a layered
structure with a weak lateral inhomogeneity
.......7
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Babich V. M. Propagation of waves along weakly nonhomogeneous in
the horisontal direction and slowly bent anisotropic
elastic layer
.......12 (.ps.gz)
-
Bakulin A. V. Equivalent body forces for jumps of stresses and
displacements in Biot model of anisotropic porous medium
.......33
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-
Belishev M. I., Pushnitskii A. B. On a triangular factorization
of positive operators
.......45
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-
Borovikov V. A. Far field excited by moving oscillating source
in resonance case
.......61
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-
Buldyrev V. S., Sokolov A. V., Starkov A. S.
High-frequency wave field of the source moving in the
wavequide
.......71
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-
Kirpichnikova N. Ya. The second approximation of the ray method
for calculation of the intensity of the wave front in
isotropic nonhomogeneous elastic media
.......79
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-
Kirpichnikova N. Ya., Philippov V. B.
Diffraction of the whispering gallery waves near the
line of the curvature jump
.......95
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Kiselev S. G., Markushevich V. M.
Representation of the Rayleigh wave equations in the
Sturm--Liouville form
.......110
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-
Kiselev A. P., Perel M. V. On the nature of ``quasiphotons''
.......117
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-
Krauklis P. V., Krauklis L. A. To the problem of mapping of the deep
cracked zones by seismic observations
.......123
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-
Luk'yanov V. D. The application of the matrix Riemann problem to
the investigation of normal waves excitation in an
acoustic waveguide by a piston radiator
.......129
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-
Markushevich V. M. On the scattering by a matrix potential with
a symplectic structure
.......133
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Molotkov L. A., Bakulin A. V. The effective models of the stratified
media containing porous Biot layers
.......140
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-
Molotkov L. A., Bakulin A. V. The jumps of displacements and
stresses as seismic sources in Biot medium
.......164
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Novoselova S. M. A system of linked resonators in cochlea
.......197
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Popov A. B. Transparent boundaries for the parabolic wave
equation
.......211
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Starkov A. S. On recovering of the density in the plane
domain from incomplete spectral data
.......218
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Troyan V. N., Ryzhikov G. A. Construction of algorithms of the
reconstruction tomography
.......225
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Sharafutdinov V. A. Inverse problem on determining a source in
the stationary transport equation on a Riemannian
manifold
.......236
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Yanson Z. A. Love waves of SH type in transversely-isotropic
elastic media
.......243
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-
Reviews
.......263
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- Paging: 271 pp.
- Language: Russian
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