FD-method for solving the nonlinear Klein–Gordon equation

We propose a functional discrete method for solving the Goursat problem for the nonlinear Klein–Gordon equation. Sufficient conditions for the superexponential convergence of this method are established. The obtained theoretical results are illustrated by a numerical example.Запропоновано функцiонально-дискретний метод розв’язування задачi Гурса для нелiнiйного рiвняння Кляйна – Гордона. Отримано достатнi умови, якi забезпечують суперекспоненцiальну швидкiсть збiжностi методу. Одержанi теоретичнi результати проiлюстровано на числовому прикладi

Pathogenetic assessment of external respiratory function disturbance and is interrelation with BDNF gene polymorphism in military servicemen in extreme conditions of the Arctic zone

Relevance. To date, the etiopathogenesis of polar hypoxia and its relationship with polymorphismes genes have not been fully studied. The aim of the study is to study the pathogenesis of ventilation disorders and polar hypoxia and their relationship with gene polymorphisms in military personnel serving in the Arctic zone. Materials and methods. 98 servicemen from the Arctic climate zone (above 70°N 30-90°E) and 94 people from the temperate climate zone (50°N 30-90°E) were examined. into three groups: 1st group - 8 (8%) military personnel, length of service up to 5 years, 2nd group - 21 (21%) people - experience from 5 to 10 years, 3rd group - 70 (71%) persons over 10 years. The average annual indicators of atmospheric pressure and air temperature in climatic zones were calculated on the basis of open archival data obtained from LLC Weather Schedule rp5.ru. Blood saturation was measured on a Berry BM1000B pulse oximeter, Tiffno index and FEV1 on a USPTs-01 spirometer; gene polymorphism by PCR on a DT-Prime amplifier. Results. Military personnel in the Arctic zone showed a decrease in blood saturation by 1.1%, a decrease in the level of FEV1 and the Tiffno index by 13.9% and 7.2%, respectively, compared with persons from the temperate climate zone (p<0.01). The Tiffno index was reduced in military personnel with the A/A genotype of the BDNF gene (rs6265) (p<0.01). Conclusion. In the Arctic zone (above 70°N 30-90°E) military personnel have an obstructive type of ventilation disorders and hypoxemia with inertia of long-term protective and adaptive reactions to hypoxia and cold. Servicemen with the A/A genotype of the BDNF gene (rs6265) are less adapted to the conditions of polar hypoxia and cold in the Arctic climate zone

Stimulated Raman Scattering from Mie-Resonant Subwavelength Nanoparticles

Resonant dielectric structures have emerged recently as a new platform for subwavelength nonplasmonic photonics. It was suggested and demonstrated that magnetic and electric Mie resonances can enhance substantially many effects at the nanoscale including spontaneous Raman scattering. Here, we demonstrate stimulated Raman scattering (SRS) for isolated crystalline silicon (c-Si) nanoparticles and observe experimentally a transition from spontaneous to stimulated scattering manifested in a nonlinear growth of the signal intensity above a certain pump threshold. At the Mie resonance, the light gets confined into a low volume of the resonant mode with enhanced electromagnetic fields inside the c-Si nanoparticle due to its high refractive index, which leads to an overall strong SRS signal at low pump intensities. Our finding paves the way for the development of efficient Raman nanolasers for multifunctional photonic metadevices.This work was supported by the Ministry of Education and Science of the Russian Federation (Project 14.Y26.31.0010), Russian Foundation for Basic Research (Project 18-32-20205), the Australian Research Council (Grant No. DP200101168), and the Strategic Fund of the Australian National University. The authors are indebted to Filipp Komissarenko for the SEM images of nanoparticles, as well as Andrey Bogdanov and Kirill Koshelev for a help with numerical calculations. They also thank Anton Samusev, Dmitry Zuev, and Pavel Belov for fruitful discussions

Scintillating bolometers based on ZnMoO4 and Zn100MoO4 crystals to search for 0ν2β decay of 100Mo (LUMINEU project): first tests at the Modane Underground Laboratory

The technology of scintillating bolometers based on zinc molybdate (ZnMoO4) crystals is under development within the LUMINEU project to search for decay of 100Mo with the goal to set the basis for large scale experiments capable to explore the inverted hierarchy region of the neutrino mass pattern. Advanced ZnMoO4 crystal scintillators with mass of ∼0.3 kg were developed and Zn100MoO4 crystal from enriched 100Mo was produced for the first time by using the low-thermal-gradient Czochralski technique. One ZnMoO4 scintillator and two samples (59 g and 63 g) cut from the enriched boule were tested aboveground at milli-Kelvin temperature as scintillating bolometers showing a high detection performance. The first results of the low background measurements with three ZnMoO4 and two enriched detectors installed in the EDELWEISS set-up at the Modane Underground Laboratory (France) are presented

ОБ ОДНОЙ ЭРЕДИТАРНОЙ ДИНАМИЧЕСКОЙ СИСТЕМЕ, МОДЕЛИРУЮЩЕЙ ЭКОНОМИЧЕСКИЕ ЦИКЛЫ

В работе предложена математическая модель, которая обобщает известную модель Дубовского, используемую для прогнозирования экономических кризисов. Это обобщение заключается в учете эффекта памяти, который часто возникает в экономической системе. С помощью численных методов, получено решение обобщенной модели, согласно которому были построены фазовые траектории

GLOBAL MARKET FORECAST NANOPOWDERS

We have made a global analysis of the market nanopowders. Based on the available data it can be concluded that the introduction of nano-powders in various spheres of high technologies will occur every year more intensively

ECONOMIC AND MATHEMATICAL MODELING INNOVATION SYSTEMS

The paper presents one of the mathematical tools for modeling innovation processes. With the help of Kondratieff long waves can define innovation cycles. However, complexity of the innovation system implies a qualitative description. The article describes the problems of this area of research

КОНКУРЕНТОСПОСОБНОСТЬ НАНОТЕХНОЛОГИЧЕСКОЙ ИНДУСТРИИ РОССИЙСКОЙ ФЕДЕРАЦИИ КАК СЕГМЕНТА МИРОВОГО РЫНКА НАНОТЕХНОЛОГИЙ

В работе рассмотрен вопрос развития наноиндустрии в Российской Федерации в рамках мирового рынка нанотехнологий, дается прогноз развития российского рынка нанотехнологий на ближайшие десятилетия

ЭКОЛОГИЧЕСКАЯ БЕЗОПАСНОСТЬ НАНОПОРОШКОВ

В работе рассмотрен вопрос об экологической безопасности применения нанопорошков в мире, а также некоторые аспекты разработки стандартов безопасности наноматериалов