Zobrazeno 1 - 10
of 52
pro vyhledávání: '"I. T. Selezov"'
Publikováno v:
Journal of Applied Mathematics and Physics. :127-132
The paper deals with the problem of the distribution of the medicine (enzyme) in the damaged biological tissue where the reaction enzyme—substrat takes place. The biological problem is reduced to a singular degenerate initial-boundary value problem
Autor:
N. G. Gulko, I. T. Selezov
Publikováno v:
Journal of Applied Mathematics and Physics. :3115-3121
Autor:
I. T. Selezov
Publikováno v:
Journal of Mathematical Sciences. 243:63-72
We consider a generalization of the Cauchy–Poisson method to the n-dimensional Euclidean space and its application to the construction of hyperbolic approximations. The presented investigation generalizes and supplements the results obtained earlie
Autor:
I. T. Selezov
Publikováno v:
Cybernetics and Systems Analysis. 55:778-784
We consider the ill-posed problem for a plasma inhomogeneity, which is diagnosed by the reflected diffraction field, i.e., backscattering from the irradiated object. In this case, there is no need for a more accurate renewal of the object under study
Autor:
I. T. Selezov
Publikováno v:
Cybernetics and Systems Analysis. 55:393-399
The author considers scattering of plane elastic waves by a rigid sphere near a plane rigid boundary, which causes multiply re-reflected dilation and shear waves and generates strong oscillations of the wave field. The problem is formulated and reduc
Autor:
I. T. Selezov
Publikováno v:
Cybernetics and Systems Analysis. 54:434-442
We consider a generalization of the Cauchy–Poisson method to an n-dimensional Euclidean space and its application to the construction of hyperbolic approximations. In Euclidean space, constraints on derivatives are introduced. The principle of hype
Publikováno v:
Journal of Mathematical Sciences. 229:241-252
We study the energy of wave motion in a two-layer “layer with solid bottom–layer with free surface” hydrodynamic system. The dependences of the energies of motion of internal and surface waves on the geometric and physical parameters of the sys
Autor:
I. T. Selezov, Iu. G. Kryvonos
Publikováno v:
Cybernetics and Systems Analysis. 53:535-542
A new generalized model of propagation of a medicine in tissue is considered. Instead of the traditional diffusion model described by a parabolic equation, the model described by a more general hyperbolic equation is postulated, which predicts finite
Autor:
Iu. G. Kryvonos, I. T. Selezov
Publikováno v:
Cybernetics and Systems Analysis. 53:12-20
We investigate the dynamics of a bypass in terms of determining the optimal parameters of shunt operation. The equations that describe the propagation of pressure pulse waves in blood vessels are presented in differential form and in approximate form
Autor:
I. T. Selezov
Publikováno v:
Journal of Mathematical Sciences. 220:334-340
We obtain equations generalizing the previously known results on the propagation of nonlinear waves in water of variable depth. To this end, we use the method of power series, which enables us to decrease the dimensionality of the problem and asympto