Superfluid quantum vortex in curved space

The effects of the general theory of relativity in superfluid liquids can be studied with respect to real astrophysical objects, namely, neutron stars. We calculate the energy of a quantum vortex in the neutron superfluid liquid for the Schwarzschild metric.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 109, No. 3, pp. 474–480, December, 1996.     

Asymptotic behavior of the solutions of certain problems for the Laplace equation under the deformation of the domain

We consider boundary-value problems for the Laplace equation in the plane and in certain classes of simply connected domains with boundaries constructed in a complicated way; we find the asymptotic behavior of the solutions of these problems when the deformation parameter of the domain tends to zero.Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 20, pp. 3–36, 1982.     

Carrying capacity and deformation properties of glass-reinforced plastic pipes of various construction

Glass-reinforced plastic pipe under internal hydrostatic pressure starts to sweat at loads lower than the mechanical strength of the material. It is established that the life of such pipes is well described by an exponential law. The leakage mechanism is mainly controlled by the deformation properties of the reinforcement and resin. The period of reliable service can be estimated from the time of development of the strain corresponding to the end of the phase of steady-state creep. It is shown that for pipe made with cross-wound glass rovings, the winding angle and the number of roving ends have a considerable influence on the creep and life.Mekhanika Polimerov, Vol. 3, No. 6, pp. 1082–1088, 1967