Geodesic

Sommaire du Fascicule no. 1

Multidimensional Hopf equation and some exact solutions
p. 5-13
2D kernel identification problem in viscoelasticity equation with a weakly horizontal homogeneity
p. 14-38
Nonisothermal diffuse interface model for electrical breakdown channel
p. 39-53
On the qualitative analysis of the equations of motion of a rigid body in a magnetic field
p. 54-66
Localization the discontinuity lines of bottom scattering coefficient according to acoustic sounding data
p. 67-79
Mathematical modeling of high-speed collision of White Dwarfs — explosion mechanism of type Ia/Iax supernovae
p. 80-91
Unsteady flow of Maxwell viscoelastic fluid near a critical point
p. 92-104
Equilibrium of a three-layer plate with crack
p. 105-120
Optimization of the shape toroidal hydroturbine draft tube
p. 121-130
On the solvability of the Dirichlet problem for anisotropic parabolic equations in non-convex domains
p. 131-146

Sommaire du Fascicule no. 2

The heat convection in a rotating tube
p. 5-20
Constructing a minimal basis of invariants for differential algebra
p. 21-31
On the method of factorization of matrix-functions in the Wiener algebra of order 2
p. 32-45
Maximizing gross product for the macroeconomic system with consumption proportional to labor resources
p. 46-57
Elastoplastic deformations of a rotating hollow cylinder with a rigid casing under maximum reduced stress yield criterion
p. 58-82
An inverse problem for a nonlinear wave equation
p. 83-100
The use of conservation laws for solving boundary value problems of the Moisila—Teodorescu system
p. 101-109
Polynomial classification algorithm of the Thomson problem solutions
p. 110-126
Integration of the nonlinear Korteweg—de Vries equation with loaded term and source
p. 127-142

Sommaire du Fascicule no. 3

Asymptotic expansion of solution of one singularly perturbed optimal control problem with convex integral performance index and cheap control
p. 5-13
Inverse problem for an equation of mixed parabolic-hyperbolic type with a Bessel operator
p. 14-24
An attracting limit cycle of an odd-dimensional circular gene network model
p. 25-32
The fundamental solution of the equation in dissipative approximation for the stationary two-velocity hydrodynamics with phase equilibrium pressure
p. 33-40
On the geometric definition of the hinge mechanism, Kempe's theorem and overripe mathematics
p. 41-54
Mathematical simulation of nuclear carbon burning in White Dwarfs using a 7-isotope reaction network
p. 55-66
Van der Pol oscillator under random noise
p. 67-80
Numerical simulation of the propagation of tungsten vapor above a heated surface
p. 81-92
On a boundary value problem for a third-order equation of parabolic-hyperbolic type
p. 93-103
Flow regimes of a liquid film carried away by a gas flow in a flat horizontal channel under isothermal conditions
p. 104-119
Mathematical modeling for thin-layered elastic media in seismic exploration
p. 120-134
Numerical stochastic modeling of dynamics of interacting populations
p. 135-153
The problem of determining the coefficient for a nonlinear term of a quasi-linear wave equation
p. 154-169
Homogenization of a periodic elastic structure saturated with a Maxwell fluid
p. 170-188

Sommaire du Fascicule no. 4

On invariant surfaces in phase portraits
p. 5-13
Supercomputer modelling of magnetohydrodynamical flows in cosmic plasma
p. 14-26
Iterative solution of a retrospective inverse problem of heat conduction with inhomogeneous Dirichlet boundary conditions
p. 27-41
A method for solving one biological problem of large dimension
p. 42-53
Evolution of the wave pattern for piecewise linear uniaxial tension and compression of a heteromodulus elastic bar
p. 54-70
Hyperbolic model of strongly nonlinear waves in two-layer flows of an inhomogeneous fluid
p. 71-85
Account for the generalized derivative and the collective influence of phases on the homogenization process
p. 86-98
The Liouville equation and exactly transitive representations of algebra $sl_2(\mathbb{R})$
p. 99-106
Uniqueness of the solution of boundary value problems of static equations of elasticity theory with an asymmetric matrix of elastic modules
p. 107-115
On optimal control in the problem of long-run tracking the exponential Ornstein—Uhlenbeck process
p. 116-135
Numerical simulation of dynamics of T-lymphocytes population
p. 136-152
Contact problem of bending of a multilayer composite plate taking into account different moduli of elasticity for tension and compression
p. 153-163
Hierarchical method of parameter setting for population-based metaheuristic optimization algorithms
p. 164-178
Skew-symmetric difference analogs of the fourth order of approximation of the first derivative
p. 179-192
Estimates of solutions to differential equations with distributed delay describing the competition of several types of microorganisms
p. 193-205
On existence of viscosity solutions for anisotropic parabolic equations with time-dependent exponents
p. 206-220
Localization of an unstable solution
p. 221-238