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ON THE SELF-SIMILAR STRUCTURE OF NONLINEAR DIFFUSION SYSTEMS WITH COUPLED DYNAMICS
This paper investigates the self-similar structure of a class of nonlinear diffusion systems with coupled dynamics, where crossinteractions between components substantially affect the long-time evolution and the formation of singular regimes. We focus on the qualitative and quantitative description...
3 March 2026, 22:00
A LINEAR EVASION GAME PROBLEM WITH 𝑮𝑮𝒓 − CONSTRAINTS ON CONTROLS OF PLAYERS
In this article, a differential game of evasion is explored for the linear motion dynamics of players (Pursuer and Evader) when the Pursuer control is subject to geometric constraint (or 𝐺-constraint) and the Evader control is subject to Grönwall-type constraint (or 𝐺𝑟-constraint). To solve the...
3 March 2026, 22:00
MODELING OF THE STRUCTURAL AND ELECTRONIC PROPERTIES OF THE (InSb)1 – x(Sn2)x SOLID SOLUTION
This work presents a first-principles study of the structural and electronic properties of the (InSb)1-x(Sn2)x solid solution using density functional theory within the Quantum ESPRESSO framework. The results show that Sn incorporation modifies the electronic structure while preserving the direct...
3 March 2026, 22:00
INVESTIGATION OF THE DYNAMICS OF MULTIPHASE STRATIFIED FLOWS BASED ON MATHEMATICAL MODELING
The article examines issues related to the investigation of the dynamics of multiphase stratified flows based on a model of the motion of interpenetrating and interacting multiphase media. The study explores the interaction between the lower atmospheric layers and water bodies, the stability of...
3 February 2026, 22:00
ENERGY SPECTRUM OF SCATTERED Ar+ IONS FROM THE DEFECT SURFACE OF InP (001) < ī10>
This article presents the results of computer modeling of scattered ions Ar+ from the stepped surface of InP ( 001) < ī10> at different values of the angle of incidence and at the E0=1 keV using the binary collision approximation method. The dependence of the energy of scattered ions on their...
3 February 2026, 22:00
QUASI-PHASE-MATCHED FREQUENCY CONVERSION OF FEMTOSECOND PULSES IN PERIODICALLY STRUCTURED GaN CRYSTALS
The frequency doubling process resulting from the nonlinear interaction of ultrashort laser pulses in nonlinear photonic crystals modulated with second-order nonlinear admittance was studied based on numerical modeling. The effects of linear absorption in the infrared spectral range and third-order...
3 January 2026, 22:00
FORMATION ENERGY AND PHASE STABILITY OF A SOLID SOLUTION OF MOLECULAR SUBSTITUTION BASED ON Si AND GaP
The integration of III–V semiconductors into silicon technology remains one of the key challenges for the development of efficient silicon-based optoelectronic devices. In this work, the thermodynamic stability and phase stability of a continuous solid solution (Si₂)₁₋ₓ(GaP)ₓ formed via molecular...
3 December 2025, 22:00
EVALUATION OF C20@Cn and C60@Cn (n=1, 3) EXOFULLERENES ADSORBED ON THE SILICON Si(100)2×1 SURFACE IN TERMS OF TIME PARAMETERS IN THE ABSENCE OF FULLERENE ADSORPTION
In this research work, the temperature dependence (T...
3 November 2025, 22:00
MODELING THE INTERACTION PROCESSES OF FULLERENE C₂₀ WITH GRAPHENE
The study investigated the interaction of C20 fullerene with graphene using molecular dynamics simulations (LAMMPS). It was found that after a collision, a C20 fullerene molecule does not immediately bounce off the graphene surface, but instead adheres to it, forming adsorption. Furthermore, when...
3 October 2025, 21:50
ANALYSIS OF CONDUCTION CURRENT AND DISPLACEMENT CURRENT IN THE CHARGING AND DISCHARGING PROCESS OF A CAPACITOR
This article seeks to address complex and problematic questions encountered in the physics practicum exercise “Studying the Charging and Discharging Process of a Capacitor.” Another important aspect is ensuring that students understand this laboratory work not only theoretically but also through...
3 September 2025, 21:50