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Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side
AbstractA model Helmholtz equation with a localized right-hand side is considered. When writing asymptotics of a solution satisfying the limit...
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On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations
AbstractFor a system of nonlinear integral equations on the semiaxis, we study a boundary value problem whose matrix kernel has unit spectral...
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A vacuum solution of modified Einstein equations based on fractional calculus
In this work, we construct a modified version of the Einstein field equations for a vacuum and spherically symmetric spacetime in terms of the...
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Schwarzschild Solution and Black Holes
Here we solve the Einstein’s equations in vacuum ( \(T_{\mu \nu } = 0\)...
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Analytic Solution of the System of Integro-Differential Equations for the Plasma Model in an External Field
AbstractWe study a system of two integro-differential equations that arises as the result of linearization of Boltzmann–Maxwell’s kinetic equations,...
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Solution of Relativistic Feshbach–Villars Spin-1/2 Equations
We propose a computational method for relativistic spin-1/2 particles by solving the corresponding Feshbach–Villars equation. We have found that the...
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Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain
AbstractWe consider a second-order quasilinear elliptic equation with an integrable right-hand side. We formulate constraints on the structure of...
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Recursion-free solution for two-loop vacuum integrals with “collinear” masses
We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation m 1 + m 2 = m
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Exact solution of the Einstein field equations for a spherical shell of fluid matter
We determine the exact solution of the Einstein field equations for the case of a spherically symmetric shell of liquid matter, characterized by an...
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On the Exact Solution of the First Boundary Value Problem for a Plane with a Circular Hole in the Formulation of the Nonlinear Power-Law Theory of Steady Creep Under Antiplane Deformation
In the formulation of the nonlinear steady-state creep theory (NSSCT), when there is a power-law dependence between stresses and deformation rates,...
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The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars
The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the...
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Solution to a Two-Dimensional Electrostatic Problem for an Oblique Magnetoresistive Element
AbstractAn analytical solution is obtained for the two-dimensional distribution of the electric potential and current density in an oblique...
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Quaternion Solution of the Problem on Optimum Control of the Orientation of a Solid (Spacecraft) with a Combined Quality Criteria
AbstractThe problem on optimal rotation of a solid (spacecraft) from an arbitrary initial to a prescribed final angular position in the presence of...
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Application of the Continuous Method for Solving Operator Equations to the Approximate Solution to the Amplitude–Phase Problem
Abstract—The article is devoted to approximate methods for solving the phase problem for one-dimensional and two-dimensional signals. The cases of...
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APPROXIMATE SOLUTION OF THE PROBLEM OF FLOW IN A FAR PLANE MOMENTUMLESS TURBULENT WAKE
AbstractThe flow in a far plane momentumless turbulent wake is described using a mathematical model obtained from the algebraic Rodi model of...
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Fundamental Solution in Functionally Graded Non Local Couple Stress Thermoelastic Solid with Voids
AbstractWe construct the fundamental solution of system of differential equations in the theory of functionally graded non local couple stress...
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Performance Comparison of Solution Algorithms
The numerical solution algorithms of fractional-order chaotic system are the basis of theoretical analysis and practical applications of...
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Solution of the Cauchy Problem for the Wave Equation on a Cone with a Non-Friedrichs Laplacian
AbstractSolutions of the wave equation on a two-dimensional infinite cone are studied. The Laplacian is determined using the theory of extensions...