Geodesic

Mathematical problems in the theory of wave propagation. Part 14

Sommaire

Scattering problem for the Schr\"odinger equation in the case of a~potential linear in time and coordinate.~I. Asymptotics in the shadow zone
p. 6-17
Diffraction echo signal generated by the incidence of a~plane wave on a~prolate spheroid
p. 18-35
Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
p. 36-40
Short-wave asymptotics of the solution of the problem of a~point source in an inhomogeneous moving medium
p. 41-48
Rigorous justification of the Friedlander--Keller formulas
p. 49-60
Space-time ray method for waves of small deformation in a~nonlinear elastic medium
p. 61-72
A coordinate system for describing the ``quasiphoton''
p. 73-76
Effect of inhomogeneity of the medium on the directivity of the simplest sources of elastic waves
p. 77-87
An integral representation of solutions and the problem of coupling factors for a~linear differential equation
p. 88-104
Single-phase and multiphase effective models describing periodic media
p. 105-122
Averaging periodic, nonideal elastic media
p. 123-131
Three-chamber cochlear model with basilar and Reissner membranes
p. 132-136
Schr\"odinger equation. The theorem concerning the ansatz representation of a~solution concentrated in a~neighborhood of a~minimum of the potential
p. 137-150
Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$
p. 151-166
Direction diagram of radiation in the problem of an inflection point of the boundary
p. 167-173
Excitation of normal modes of a~weakly inhomogeneous waveguide by a~point source
p. 174-178
Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid
p. 179-186