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Actual problems of Mathematics, Physics and Mecanics
FIRST-PRINCIPLES MODELING OF STRUCTURAL AND ELECTRONIC PROPERTIES OF (Ge2)1-x(InP)x ALLOYS
This work presents a first-principles study of the structural and electronic properties of (Ge₂)₁₋ₓ(InP)ₓ solid solutions across the full composition range (0 ≤ x ≤ 1). Calculations were performed within density functional theory using the all-electron FHI-aims code, with r2SCAN for structural...
3 April 2026, 22:02
APPROXIMATION OF m-CONVEX FUNCTIONS INFINITELY SMOOTH FUNCTIONS
In this paper, we investigate the approximation of 𝑚-convex functions using the relationship between 𝑚-convex functions and 𝑚-subharmonic functions in the complex space ℂ. The main result is a theorem establishing that any 𝑢(𝑥) 𝑚-convex function defined on a domain 𝐷 ⊂ℝ can be approximated by a...
3 April 2026, 22:01
INVESTIGATION OF SCATTERING Ar+ IONS FROM CdSe(001) SURFACE AT THE GLANCING INCIDENCE
In this paper, we present and discuss the energy distributions and characteristic trajectories of scattered Ar+ ions from the CdSe(001) surface at the angles of incidence ψ =3°, 5°, 7° and at the initial energy E0=3 and 5 keV. In the obtained energy spectra, two intense peaks are observed, which...
3 April 2026, 22:00
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