An estimate of length for tubular minimal surfaces of arbitrary codimension

Volgograd. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 5, pp. 201–205, September–October, 1992.     

On Asymptotic Properties of Maximal Tubes and Bands in a Neighborhood of an Isolated Singularity in Minkowski Space

We study the asymptotic behavior of maximal surfaces like bands and tubes in a neighborhood of an isolated singular point. In particular, we prove possibility of expansion of the radius vector of a two-dimensional surface in a power series with real-analytic coefficients in the time coordinate. We show also that the tangent rays at a singular point constitute a light-like surface. We prove an exact estimate for the existence time for multidimensional maximal tubes in terms of their asymptotic behavior at a singular point and describe completely the class of surfaces on which this estimate is attained.     

Monitoring of the Kα–Kβ Spectrum of a Micropinch in an Iron Plasma

JETP Letters - The variation of the Kα–Kβ spectrum of a micropinch in an iron plasma of a high-current vacuum spark has been studied at detection in a single discharge using a...     

The Delaunay triangulation for multidimensional surfaces and its approximative properties

We define the Delaunay triangulation for surfaces and prove an analog of the G. Voronoi empty sphere theorem. We also prove a convergence theorem for gradients of piecewise linear approximations constructed on the Delaunay triangulation for functions differentiable on smooth surfaces.     

Study of plasma dynamics and acceleration processes in the high-current discharge by X-ray spectropolarimetry methods

The possibilities of studying the fast process dynamics in dense hot plasma by X-ray spectropolarimetry methods are presented.     

Isotropic Hypersurfaces and Minimal Extensions of Lipschitz Functions

The existence and uniqueness theorem for isotropic hypersurfaces with prescribed boundary in Lorentzian warped products is proved.The proof is based on minimal Lipschitz extensions of functions. __________ Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 39, No. 3, pp. 28–36, 2005 Original Russian Text Copyright #x00A9; by A. A. Klyachin and V. M. Miklyukov     

Coulomb Explosion of the Debye Layer As a Mechanism for the Formation of a High-Energy Ion Flow in the Plasma of a Micropinch Discharge

Technical Physics - Flows of ions with energies on the order of megaelectronvolts, which propagate both in the axial direction and in the direction perpendicular to the symmetry axis of the...     

Formation of cavities in a Z pinch plasma

Technical Physics - The spatial structure and dynamics of the plasma in a high current vacuum spark discharge are studied via pulsed shadowgraphy. The formation of cavities in the neck plasma at...     

Study of the polarization of radiation of multicharged ions and bremsstrahlung continuum of a micropinch in the K α-K β region of a plasma-forming element

Some features of the radiative compression of a current channel have been revealed by the methods of polarization-sensitive diffraction spectroscopy of X rays of a micropinch discharge.     

Intercomparison of radiation measurements on STS-63

A joint NASA Russia study of the radiation environment inside the Space Shuttle was performed on STS-63. This was the second flight under the Shuttle-Mir Science Program (Phase 1). The Shuttle was launched on 2 February 1995, in a 51.65° inclination orbit and landed at Kennedy Space Center on 11 February 1995, for a total flight duration of 8.27 days. The Shuttle carried a complement of both passive and active detectors distributed throughout the Shuttle volume. The crew exposure varied from 1962 to 2790 μGy with an average of 2265.8 μGy or 273.98 μGy/day. Crew exposures varied by a factor of 1.4, which is higher than usual for STS mission. The flight altitude varied from 314 to 395 km and provided a unique opportunity to obtain dose variation with altitude. Measurements of the average east-west dose variation were made using two active solid state detectors. The dose rate in the Spacehab locker, measured using a tissue equivalent proportional counter (TEPC), was 413.3 μGy/day, consistent with measurements made using thermoluminescent detectors (TLDs) in the same locker. The average quality factor was 2.33, and although it was higher than model calculations, it was consistent with values derived from high temperature peaks in TLDs. The dose rate due to galactic cosmic radiation was 110.6 μGy/day and agreed with model calculations. The dose rate from trapped particles was 302.7 μGy/day, nearly a factor of 2 lower than the prediction of the AP8 model. The neutrons in the intermediate energy range of 1–20 MeV contributed 13 μGy/day and 156 μSv/day, respectively. Analysis of data from the charged particle spectrometer has not yet been completed.