On the unified nature of the longitudinal and transverse acoustoelectric effects in type-II superconductors

A longitudinal ultrasonic wave should drag the vortex structure of superconductors at an acute angle with respect to the direction of wave propagation. This motion engenders longitudinal and transverse electric fields in the superconductor and, moreover, effects of the “optical rectification” type contribute to the observed longitudinal and transverse electric fields. The effect should be observed in all type-II superconductors above the irreversibility line. Both fields have extrema with respect to temperature and magnetic field. In contrast to the acoustoelectric effect in the normal state, the sign of the induced electric field depends on the external magnetic field. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 3, 222–227 (10 February 1998)     

Conformal mappings of the disk onto convex domains

A series of sharp inequalities for conformal mappings of the disk onto convex domains is given, which connect the curvature, deviation, Schwarzian, and other characteristics of level lines and orthogonal trajectories.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1330–1336, October, 1992.     

On conformal mapping of polygonal regions

We develop Kufarev's method for determining unknown parameters in the Schwarz-Christoffel integral in the case of conformal mapping of polygonal regions with boundary normalization.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1484–1494, November, 1993.     

A rotation theorem for the class of univalent p-symmetric functions

Exact estimates are obtained for the argument of the derivative on the class of all univalent holomorphic p-symmetric functions in the unit disk.Translated from Matematicheskie Zametki, Vol. 10, No. 2, pp. 239–242, August, 1971.