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Nonlinear Theory and Modeling of the Free Boundary Problems Arising in Distributed Media
Lviv :
VNTL Publishers, 2001.
Lubashevsky I., Gafiychuk V.
The proposed monograph is devoted to development of the mathematical methods for investigation of nonlinear dynamics of free boundary problems arising in distributed media. We introduce a new approach to describe the dynamics of interfacial pattern formation. A theory of interface dynamics of free boundaries is developed for the whole class of non-equilibrium effects, which are reduced to Stefan problem.
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330
Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...
Added: October 14, 2026
Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992
The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...
Added: October 14, 2026
Kuznetsov A. P., Sedova Y. V., Sataev I. R. et al., Mathematics and Computers in Simulation 2027 Vol. 2 P. 574–592
Universal bifurcation structures on the parameter plane of nonlinear systems, known as shrimps, are discussed. An overview of numerous examples from various fields of science is given. Shrimps are typical for both maps of different dimensions and flows. The varieties of shrimp are discussed and relevant examples are given. The similarity property on the parameter ...
Added: October 14, 2026
Dmitriev A., Kornilov V., Batienkov R., Lecture Notes in Civil Engineering 2026 Vol. 886 P. 249–255
Numerous studies have provided compelling evidence that the probability distribution of avalanche sizes follows a power law, and that 1/f noise is present in the stochastic dynamics of landslides. We present a theoretical explanation of these phenomena within the framework of self-organized criticality theory, proposing a discrete-time model in the form of a sandpile cellular ...
Added: October 13, 2026
Dmitriev A., Shulman I., Lebedev A., Studies in Computational Intelligence 2026 Vol. 1265 P. 266–273
A discrete-time model is presented for the self-organization of the X/Twitter social network to the edge of a phase transition, characterized by avalanche-like propagation of information in the network. The model is based on the analogy between the critical dynamics of the X social network and sandpile cellular automata with Manna rule on the Chung-Lu ...
Added: October 13, 2026
Arutyunov K., Kharitonov I. A., Petrosyants K. O., JETP Letters 2026 Vol. 124 No. 6 P. 1–16
Superconducting properties of metallic micro- and nanowires can be entirely different from those of bulk superconductors. Of particular interest is the nonequilibrium current-induced state of a quasi-one-dimensional superconducting channel. The most interesting phenomenon here is the stepped I–V characteristic, explained by a process known as phase slip center activation. If the origin of such step-like ...
Added: October 13, 2026
Makarov D. M., Kalikin N., Fashchevsky K. A. et al., Electrochimica Acta 2026 Vol. 579 Article 150159
Machine learning (ML) has become a powerful tool for accelerating the development of carbon-based supercapacitors;
however, most published models assume that a single predictive framework can describe both conventional
porous carbons and hybrid carbon electrodes. Here, we test this assumption using a comprehensive
benchmark dataset and an extended literature-curated dataset enriched with synthesis- and electrolyte-related
descriptors. Three ML algorithms ...
Added: October 13, 2026
Gusein-Zade S., Campillo A., Delgado F., Mathematische Zeitschrift 2026 Vol. 314 No. 1 P. 1–22
For a subfield $\K$ of the field $\C$ of complex numbers, we consider curve and divisorial valuations on the algebra $\K[[x,y]]$ of formal power series in two variables with the coefficients in $\K$. We compute the semigroup Poincar\'e series and the classical Poincar\'e series of a (discrete, rank one) valuation on it. ...
Added: October 13, 2026
Махлуф М., Ozhegov R., Elezov M. et al., Фотоника 2026 Vol. 20 No. 6 P. 414–423
This paper compares the ranging precision of direct time-of-flight (dToF) and non-line-of-sight (NLOS) LiDAR architectures, both using a superconducting nanowire single-photon detector (SNSPD). Both systems operate at 1550 nm with a 50 ps pulsed laser and time-correlated single-photon counting (TCSPC). The dToF configuration achieved approximately 100 µm precision at 10 m, while the NLOS configuration achieved 500 µm precision for ...
Added: October 12, 2026
Щербинин С. А., Корзникова Е. А., Дмитриев С. В. et al., Physics Letters A 2026 Vol. 591 Article 131884
In this work, a simple genetic algorithm (GA) is used to find and characterize different QBs in a 𝛽-FPUT chain. By considering the space of initial particle displacements as a global optimization landscape, GA maximizes the energy localization function by automatically evolving candidate states toward highly localized long-lived solutions without a priori symmetry assumptions. 200 ...
Added: September 28, 2026
Knyazeva H., МЕТОД: Московский ежегодник трудов из обществоведческих дисциплин 2025 Т. 5 № 3 С. 40–58
This article analyzes the anthropocosmic approach to understanding the evolution of humans and the Universe in light of modern concepts of the anthropic principle and the paradigm of complexity theory. It examines the conceptual foundations of cosmic evolution in the works of Pierre Teilhard de Chardin and V. I. Vernadsky, who offer different interpretations of ...
Added: June 20, 2026
Flamarion M. V., Pelinovsky E., Nonlinear Dynamics 2026 Vol. 114 Article 784
In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render ...
Added: June 5, 2026
Кайдышева Н. Н., Исторический бюллетень (Российская Федерация) 2023 Т. 6 № 3 С. 73–81
The goal of this study is to present the main achievements of modern Ural historiography in the field of the formation and development of civil society in the Urals in the second half of the 19th – early 20th centuries, and to identify prospects for further research. Such leading researchers of the history of civil ...
Added: February 22, 2026
LePoire D., Grinin L. E., Korotayev A., Journal of Big History 2025 Vol. 8 No. 3 P. 98–139
Building on foundational work in systems theory, thermodynamics, and evolutionary theory, this paper argues that complexity can serve as a conceptual bridge across disciplines. It explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, geological, biological, social, cognitive, and civilizational domains. By examining how complexity emerges, ...
Added: November 1, 2025
Екомасов Е. Г., Нерадовский Д. Ф., Фахретдинов М. И. et al., Челябинский физико-математический журнал 2025 Т. 10 № 2 С. 227–235
The effect of the thickness of a non-magnetic layer and the magnitude of the spin-polarized current on the coupled dynamics of two magnetic vortices in a spin-transfer nanoscillator is investigated. A spin-transfer nanoscillator in the form of a three–layer conductive cylinder with a diameter of 200 nm is considered. The features of the dynamics of ...
Added: September 28, 2025
Jakobson L. I., Журнал Новой экономической ассоциации 2025 № 1(66) С. 224–244
The purpose of the paper is to identify the objective circumstances limiting the effectiveness of self-organization. Self-organization is viewed as a type of relationship among individuals and organizations based on the norms other than those of remuneration which are typical of market institutions or the norms generated by the right to coercion inherent to the ...
Added: September 11, 2025
Ivanova I., Scientometrics 2025 Vol. 130 No. 6 P. 3109–3126
This paper reviews research topics that I have had the fortune to explore with Loet Leydesdorff over the past decade. What initially seemed to be different areas of research have eventually been brought together into a unified framework for a theory of meaning in inter-social communication. The sociology of communication laid the foundations for a ...
Added: September 2, 2025
Sorokin P., Afanaseva I., Журнал Сибирского федерального университета. Серия: Гуманитарные науки 2025 Т. 18 № 5 С. 970–979
The article, based on the theoretical review of scholarly and expert literature in the field of contemporary art, the cultural-historical and formal-stylistic analysis of artworks, as well as on the basis of interviews with contemporary Russian artists, analyses the recent experience of creation of new practices of action and creative youth communities, which in turn ...
Added: May 30, 2025
Puzachenko A. Y., Sandlerskiy R., Biology Bulletin 2023 Vol. 50 No. 2 P. S119–S131
We tried to trace the stages of Puzachenko scientific path and highlight the key areas of his scientific interest: the organization and functioning of complex self-organizing nonequilibrium systems (biogeocenosis and landscapes) and different aspects of biodiversity and relationships between species and their environment. ...
Added: February 26, 2025
R. B. Sandlerskiy, Petrzhik N. M., Jargalsaikhan T. et al., Biology Bulletin 2023 Vol. 50 No. S2 P. S226–S238
The results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region are presented. Using the example of a section of the Khordol-Sardag ridge, the spatiotemporal variation of thermodynamic characteristics calculated within the framework of ...
Added: February 26, 2025
Stalinov G., Экономическая социология 2025 Т. 26 № 1 С. 113–142
Couriers, taxi drivers and truckers are atomized workers who move daily in public spaces outside of work collectives. Nevertheless, they are able to maintain community solidarity through self-organizing practices. I compare the practices of interaction and mutual assistance in three groups through the theory of structuration by E. Giddens. The work is based on observations ...
Added: February 10, 2025
Gridchin V., Kotlyar K., Ubyivovk E. et al., ACS Applied Nano Materials 2024 Vol. 7 No. 15 P. 17460–17468
A study on the formation of InGaN ternary compounds in the three-dimensional growth mode is presented.
For the first time, we demonstrate that the self-organization during InGaN growth is responsible for the formation of core−shell nanowires (NWs), nanotubes, zinc blende (ZB) phases, and nanoflowers. It is found that the core−shell InGaN NWs are formed at the very initial stage of growth. ...
Added: October 18, 2024
Anna S. Bodrova, Al Najim F., Brilliantov N. V., Physica A: Statistical Mechanics and its Applications 2024 Vol. 643 Article 129796
We analyze the pattern formation in systems of active particles with chiral forces in the context
of pedestrian dynamics. To describe the interparticle interactions, we use the standard social
force model and supplement it with a new type of force that reflects chirality. We perform
numerical simulations of two pedestrian flows moving in opposite directions along a corridor.
We ...
Added: May 13, 2024
Alexeeva T., Кузнецов Н. В., Мокаев Т. Н. et al., Дифференциальные уравнения и процессы управления 2023 № 4 С. 53–66
The accuracy of forecasting the expected values of economic indicators under conditions of irregular dynamics has a key role in taking optimal management decision-making. This current and complex task can be effectively solved using modern methods based on artificial intelligence, the wide introduction of which into the economy is aimed at by the Federal project "Artificial ...
Added: January 7, 2024