Викторович

NAME: Last Shatrov First Anatoly Middle Viktorovich
DATE OF BIRTH: March, 19, 1950, PLACE OF BIRTH: Chusovoy-City, Perm Region, Russia. CITIZENSHIP: Russia,
CURRENT AND PERMANENT HOME ADDRESS: , Kremenchugskaya str., 19 bld. 3, liter A, 191167, St. Petersburg, Russia, CURRENT WORK ADDRESS:
SPbPolyTechU, 29, Politehnicheskaya str., St. Petersburg, 195251, Russia
PROFESSIONAL EXPERIENCES:
2022 Professor of Physics and Mechanics Institution of SPbPolyTechU(from 2024 - Institute of Physics and Mathematics)
2019 – 2022 Chief Research Fellow at the Vyatka State University
2004- 2018 Head of Department of Mathematical Modeling, Vyatka State University
2002-2004 Professor of Department Mathematics, Vyatka State University
1984-2002 Docent of Department Mathematics, Vyatka State University
1983-1984 Senior Assistant of Professor of Department Mathematics, Vyatka State University
1979-1983 Junior Research Fellow, at the St. Petersburg State Polytechnic University

EDUCATION

1999-2002 Doctorate Research at the Vyatka State University (Department of Applied Mathematics)
1979-1982 Post-Graduate Courses at the St-Petersburg State Polytechnic University (Leningrad Polytechnic Institution, LPI), USSR
1970-1975 Perm State University, Department of Mechanic and Mathematic, USSR.

RESEARCH, TEACHING, or OTHER INTERESTS

Modeling and Simulation, Mathematical Physics, Biophysics, Computational Theory and Mathematics

Scopus Publications

Experience of an informational system design with an integrated pollution transport model on a water surface
Sergey Rychkov, Vyacheslav Solbakov, Anatoly Shatrov
Bio Web of Conferences, 2022
The use of informational systems to estimate the required amount of chemicals for the dispersion of surface pollution is a fruitful approach in implementations of emergency response plans. A mathematical model of the processes of destruction of pollution on a water surface is an integral part in such a system and a source of accumulation of information about the evolution of pollution in various environmental conditions and characteristics of the source of pollution. Examples of the results of modeling the processes of surface pollution propagation when exposed to surface waves are presented, as well as a set of stored information for estimating the required amount of reagents.
USING OF PADÉ APPROXIMATION FOR SOLVING MIXED PROBLEMS OF MATHEMATICAL PHYSICS
A. SHATROV
Functional Differential Equations, 2022
High-Performance Calculations for Modeling the Propagation of Allergenic Plant Pollen in an Atmospheric Boundary Layer
Olga Medveditsyna, Sergey Rychkov, Anatoly Shatrov
Communications in Computer and Information Science, 2022
Mathematical modeling of toxic hepatitis in male Wistar rats
Vladimir Kudryavtsev, Anatoly Shatrov, Alexey Vishnyakov
2022 IEEE International Multi Conference on Engineering Computer and Information Sciences Sibircon 2022, 2022
A mathematical model is considered in terms of the systemic dynamics of the state of toxic hepatitis in the body of animals. The pathological condition is experimentally achieved by subcutaneous injection of fixed doses of carbon tetrachloride (CCl4). The model presents generalized description of the body’s response in terms of differential equations of system dynamics. The parameters of the model description are objective indicators of organism destruction. Objective indicators characterize the degree of tissue damage, the functional activity of the organ, as well as the energy (potential) capabilities of the body. The results of using Mathematical Model of Generalized Dynamics make it possible to determine the degree of intoxication at which decompensation of the reaction to damage occurs and to establish the boundaries of the stationary state of the system. The results of the pathological process dynamics were obtained. The stability of the organism state was assessed according to the results of the objective indicators dynamics.
Padé approximants, their properties, and applications to hydrodynamic problems
Igor Andrianov, Anatoly Shatrov
Symmetry, 2021
This paper is devoted to an overview of the basic properties of the Padé transformation and its generalizations. The merits and limitations of the described approaches are discussed. Particular attention is paid to the application of Padé approximants in the mechanics of liquids and gases. One of the disadvantages of asymptotic methods is that the standard ansatz in the form of a power series in some parameter usually does not reflect the symmetry of the original problem. The search for asymptotic ansatzes that adequately take into account this symmetry has become one of the most important problems of asymptotic analysis. The most developed technique from this point of view is the Padé approximation.
Visualization of Blood Erythrocytes Sedimentation Process on Transitive Layer 'Erythrocytes - Plasma'
V.A. Kudryavtsev, A.V. Shatrov
Proceedings 2021 IEEE Ural Siberian Conference on Computational Technologies in Cognitive Science Genomics and Biomedicine Csgb 2021, 2021
Actuality of the presented problem is caused by widespread usage of laboratory blood tests. The purpose of this work is to prove specific character of this analysis. In modern medical practice it is considered that the blood sedimentation rate does not represent an opportunity to diagnose diseases. Results of visualization for erythrocytes sedimentation process and dynamics on border ”erythrocytes – plasma” convince different. Process is registered by devices for visualization of blood cells deposition with high degree of space and time resolution in real time. The research of dynamic changing of border and transitional layer ”erythrocytes – plasma” character gives chance to considerably enlarge the content of the diagnostic indicator of erythrocytes sedimentation rate (ESR).
Simulation of Wave Mixing of Surface Layers in the Sea Area
A V Nikolaeva, S L Rychkov, A V Shatrov
Iop Conference Series Earth and Environmental Science, 2021
A problem of surface waves simulation is considered there in the context of combating oil spills. Being independent of waves penetrating into water, oil is disposed in sea as floating surface slicks and as drops suspended in water thickness. An oil surface slick incurs of transferring by wind and current actions, on the one hand, and of a variety of transforming processes, on the other hand. Gravitational spreading is one of the most influent transforming processes for oil on the sea surface. Among physical problems, there are dynamics of thin films of petroleum products on the sea surface and the need to consider moving on the waved sea-atmosphere border. The oil penetration into the water thickness occurs during the dispersion process --- of the transfer of oil from the water surface to the water phase as a result of wave collapse. The carried away oil splits into drops of different sizes which spread and diffuse into the water thickness. The factors such as droplet size, buoyancy, and turbulence affect dispersion stability. The main sources of dispersion energy are collapsing waves formed by wind on the surface of a water body. We suggest using a 2D surface wave model based on the dynamics of interacting particles. In contrast to complex hydrodynamic and spectral models, that makes it possible to estimate quite simply and effectively the proportion of dispersed oil pollution carried from the surface to the depth of the sea area.
The mathematical modeling and monitoring for process of a biological sewage treatment
V A Kudryavtsev, S L Rychkov, A V Shatrov
Iop Conference Series Earth and Environmental Science, 2019
The urgency of present problem is caused by necessity of operative control of biological sewage treatment processes. At present these processes are realizing in aeration tanks of sewage treatment plants both municipal and of large enterprises. A process of biological treatment is being checked by chemical analysis practically by hand. By the way a duration of checking procedure is commensurable with the time the sewage water is passing through an aeration tank. Thus any operative control of sewage treatment is practically impossible. In the present work it is proposed to use for operative control the hardware- software complex (HSC) AQUATEST-AT4M, that is able to produce an analysis of water quality in some minutes. By the way the measurement data give an opportunity to identify a mathematical model of these biological sewage treatment. In this work there are presented the results of experiments and of mathematical modelling of work of the Kirov City communal systems sewage treatment plants (KCS STP).
The modelling of a spring-time flood streams on the Vyatka River to the forecast extreme situations
B V Arkhipov, S L Rychkov, A S Timonov, A V Shatrov
Iop Conference Series Earth and Environmental Science, 2019
There are presented results of modelling of a spring-time flood run evolving on a river floodplain. The model is used to forecast contamination transfer processes during spring floods running on Kirovo-Chepetsk floodplain of Vyatka River. The model verification was made with satellite photoshots of the flood propagation area and with monitoring data for contamination concentrations obtained by ecological services both of Kirovo-Chepetsk chemical plant and of Kirov region’s administration. The digital implementation of the model can allow to simulate action of various defensive hydrotechnical structures that might be designed and to evaluate their influence on the redirection of the flood streams.
High-Performance Calculations for River Floodplain Model and Its Implementations
Boris Arkhipov, Sergey Rychkov, Anatoliy Shatrov
Communications in Computer and Information Science, 2019
A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics
A. V. Shatrov
Journal of Mathematical Sciences United States, 2018
High-performance calculations for modeling of processes of transfer of pollution in an atmospheric boundary layer from superficial sources
Ceur Workshop Proceedings, 2018
Numerical modeling of mesoscale atmospheric impurity transport processes in the environs of the city of Kirov
A. V. Shatrov, K. G. Shvarts
Fluid Dynamics, 2011
Physical model of a «dry eye» syndrome pathogenesis, connected with the soft contact lenses
Sovremennye Tehnologii V Medicine, 2010
Combination of temperature asymptotics in the boundary layer
Vestnik Sankt Peterburgskogo Universiteta Ser 1 Matematika Mekhanika Astronomiya, 1996
Modeling strong effects of rotating system in the computation of turbulent flows in channels
E. M. Smirnov, A. V. Shatrov
Journal of Applied Mechanics and Technical Physics, 1985
Turbulent flow and heat transfer in a rotating slit-shaped channel
E. M. Smirnov, A. V. Shatrov
Journal of Engineering Physics, 1985
Development of the boundary layer on a plate in a rotating system
E. M. Smirnov, A. V. Shatrov
Fluid Dynamics, 1982

Publications

Olenev N.N., Shatrov A.V. Parallel computing for model of regional economic//8-th International Conference: HPC & Parallel Computing on Cluster Systems. HPC-2008). // Presiding of Conference – Kazan: 2008, p. 319-324 (In Russian)
Shatrov A.V., Shvarts K.G. Numerical Modeling of Mesoscale Atmospheric Impurity Transport Processes in the Environs of the City of Kirov // Fluid Dynamics, 2011, Vol. 46, No 2, pp. 333-340 (Scopus)
Shatrov A.V. Method of Matching of Interior and Exterior Asymptotics in Boundary Value Problems of Mathematical Physics // Journal of Mathematical Science, May 2018, Volume 230, pp 804–807 (Scopus)
Arkhipov B.V., Rychkov S.L., Shatrov A.V. High-Performance Calculations for River Floodplain Model and Its Implementations// In: Sokolinsky L., Zymbler M. (eds) Parallel Computational Technologies. PCT 2019. Communications in Computer and Information Science, vol 1063, pp. 211-224. Springer, Cham (Scopus)
Andrianov Igor, Shatrov Anatoly. Padé Approximants, Their Properties, and Applications to Hydrodynamic Problems. // Symmetry 2021, 13, 1869. (Scopus, WoS)
Shatrov A.V. Using of Pade Approximation for Solving Mixed Problems of Mathematical Physics // Functional Differential Equations, Volume 29, No. 3-4, 2022, pp. 205-219 DOI: