Amosov, G. G. Mokeev, A. S. Pechen, A. N.
Published in
Lobachevskii Journal of Mathematics
AbstractWe consider error correction, based on the theory of non-commutative graphs, for a model of a qubit interacting with quantum oscillator. The dynamics of the composite system is governed by the Schrödinger equation which generates positive operator-valued measure (POVM) for the system dynamics. We construct a quantum channel generating the n...
Krivulin, N.
Published in
Lobachevskii Journal of Mathematics
We consider multidimensional optimization problems, which are formulated and solved in terms of tropical mathematics. The problems are to minimize (maximize) a linear or nonlinear function defined on vectors over an idempotent semifield, and may have constraints in the form of linear equations and inequalities. The aim of the paper is twofold: firs...
Kalinin, N. A. Skvortsov, N. A.
Published in
Lobachevskii Journal of Mathematics
Continuously increasing complexity of scientific research lead to the growing need for close integration of heterogeneous scientific communities. Such integration can be provided by the development of cross-domain research data infrastructures. In this paper, problems of the effective organization of scientific data in research infrastructures, bas...
Attarchi, Hassan
Published in
Lobachevskii Journal of Mathematics
AbstractIn this paper, a \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3$$\end{document}-Kenmotsu structure is defined on a \documentclass[12pt]{minimal} \usepackage{...
Polovinkina, M. V. Polovinkin, I. P.
Published in
Lobachevskii Journal of Mathematics
We consider an initial-boundary value problem for the system of partial differential equations describing processes of growth and spread of substance in biology, sociology, economics and linguistics. We note from a general point of view that adding diffusion (migration) terms to ordinary differential equations, for example, to logistic ones, can in...
Sulimov, A. V. Kutov, D. C. Ilin, I. S. Tashchilova, A. S. Shikhaliev, Kh. S. Sulimov, V. B.
Published in
Lobachevskii Journal of Mathematics
A virtual structure-oriented screening of candidates for inhibitors of blood coagulation factor XIIa was carried out. This coagulation factor is one of the most promising therapeutic targets for the development of anticoagulants without disturbing normal hemostasis. The screening was carried out in the database of organic compounds of the Voronezh ...
Podmarkova, A. D. Zasimova, M. A. Ivanov, N. G. Ris, V. V. Abramov, A. G.
Published in
Lobachevskii Journal of Mathematics
The paper presents the experience of supercomputer modeling of airflow near a breathing thermal manikin located in the test room. The computations were performed under conditions of two ventilation scenarios: the mixing ventilation case with the dominant forced convection and the case of a very weak supply airflow with the dominant free convection....
Ait Mahiout, L. Mozokhina, A. Tokarev, A. Volpert, V.
Published in
Lobachevskii Journal of Mathematics
In this work we develop a model of viral infection in host tissues in order to study the influence of the immune response on the infection spreading speed and on the viral load characterizing, respectively, severity of symptoms and infection transmission rate. Dynamics of the interaction between viral infection and the immune response is studied wi...
Lapin, A. Lapin, S. Zhang, S.
Published in
Lobachevskii Journal of Mathematics
AbstractA mean field game model in the interpretation of optimal control is investigated theoretically and numerically. This is the problem of minimizing a non-convex and non-coercive objective functional controlled by a coefficient in the Fokker–Planck equation with a time-fractional derivative. The existence of a weak solution to the problem pose...
Vijayakumar, R.
Published in
Lobachevskii Journal of Mathematics
AbstractIn this paper, first we give a new generalization of the Bohr’s inequality for the class of bounded analytic functions \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docu...