3 papers
math.CV2020
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…
math.AP2019
Displacements representations for the problems with spherical and circular material surfaces with surface tension
Sofia G. Mogilevskaya, Volodymyr I. Kushch, Anna Y. Zemlyanova
The displacements representations of the type used by Christensen and Lo (1979) are modified to allow for analytical treatment of problems involving spherical and circular material…
math.AP2012
The effect of a curvature-dependent surface tension on the singularities at the tips of a straight interface crack
A. Y. Zemlyanova
A problem of an interface crack between two semi-planes made out of different materials under an action of an in-plane loading of general tensile-shear type is treated in a semi-an…