10 citations · 27 across the 15 of their papers we have counts for
15 papers
Scattering by a perforated sandwich membrane: method of Riemann surfaces
Y. A. Antipov
The model problem of scattering of a sound wave by an infinite plane structure formed by a semi-infinite acoustically hard screen and a semi-infinite sandwich panel perforated from…
Two-dimensional contact of two different power-law graded elastic bodies
Y. A. Antipov, S. M. Mkhitaryan
Previous study of contact of power-law graded materials concerned the contact of a rigid body (punch) with an elastic inhomogeneous foundation whose inhomogeneity is characterized…
Riemann-Hilbert problem on an elliptic surface and a uniformly stressed inclusion embedded into a half-plane subjected to antiplane strain
Y. A. Antipov
An inverse problem of elasticity of elastic inclusions embedded into an elastic half-plane is analyzed. The boundary of the half-plane is free of traction. The half-plane and t…
Sadovskii vortex in a wedge and the associated Riemann-Hilbert problem on a torus
Y. A. Antipov, A. Y. Zemlyanova
Reconstruction of conformal mappings from canonical slit domains onto multiply-connected physical domains with a free boundary is of interest in many different models arising in fl…
Annular and circular rigid inclusions planted into a penny-shaped crack and factorization of triangular matrices
Y. A. Antipov, S. M. Mkhitaryan
Analytical solutions to two axisymmetric problems of a penny-shaped crack when an annulus-shaped (model 1) or a disc-shaped (model 2) rigid inclusion of arbitrary profile are embed…
Integral relations associated with the semi-infinite Hilbert transform and applications to singular integral equations
Y. A. Antipov, S. M. Mkhitaryan
Integral relations with the Cauchy kernel on a semi-axis for the Laguerre polynomials, the confluent hypergeometric function, and the cylindrical functions are derived. A part of t…