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Actual problems of Mathematics, Physics and Mecanics
IMPACT OF GEOMETRIC SCALING ON SELF-HEATING EFFECTS IN GaAs-BASED GATE-ALL-AROUND FIELD-EFFECT TRANSISTORS
As gate-all-around field-effect transistors (GAAFETs) are scaled toward sub-10 nm gate lengths and nanowire diameters, self-heating effects (SHE) become an increasingly dominant reliability and performance concern, particularly for high-mobility III–V channel materials such as GaAs whose thermal...
3 June 2026, 22:13
CHANGE IN THE WIDTH OF THE VOLUME CHARGE FIELD OF P–N JUNCTION DIODES UNDER THE INFLUENCE OF A MAGNETIC FIELD
In this article, the volt-ampere characteristic of p–n junction diodes under the influence of a magnetic field and the change in the volume charge field parameters were theoretically studied. That is, the effect of the electromotive force (EMF), the Lorentz force, and the change in the distribution...
3 June 2026, 22:12
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A FIRST BOUNDARY VALUE PROBLEM FOR A LOADED FRACTIONAL DIFFUSION EQUATION
The paper studies a first boundary value problem for a loaded diffusion equation involving the Riemann–Liouville fractional derivative. A loaded term depending on the integral of the unknown solution with respect to xxx is added to the right-hand side of the diffusion equation. Using the Green...
3 June 2026, 22:11
MATHEMATICAL MODELING OF DYNAMIC NONLINEAR FILTRATION AND NUMERICAL SOLUTIONS TO NONLINEAR EQUATIONS
This article examines the mathematical modeling of the dynamic process of reservoir filtration systems described by nonlinear partial differential equations and a numerical algorithm for their implementation, as well as the quasi-linearization of the nonlinear discrete model of the process under...
3 May 2026, 22:01
COMPUTATIONAL ANALYSIS OF STEADY VISCOUS FLOW PAST A CIRCULAR CYLINDER
This study numerically investigates steady viscous flow past a circular cylinder for Reynolds numbers up to 300. A Newton-based iterative method and improved boundary conditions are proposed. Results show wake recirculation and wake shortening near (Re=300), while drag, pressure distribution, and...
3 May 2026, 22:00
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