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22 April 2021
‘AI Will Apply to All Activities, Having a Great Effect on Economy’
Artificial Intelligence (AI) has become a fundamental component of many activities in economics and finance in recent years. On April 26,Panos Pardalos, Academic Supervisor at theLaboratory of Algorithms and Technologies for Networks Analysis (LATNA at HSE Nizhny Novgorod) and Distinguished Professor of Industrial and Systems Engineering at the University of Florida, will talk about its impact, future developments and limitations in his honorary lecture Artificial Intelligence (AI) in Economics and Finance.
21 April 2021
What Can Make Robots More Human-like?
What is affect and why is it important for humans? How can feelings be defined and what is their relation to emotions and consciousness? What might be used in making a soft robot? Professor Antonio Damasio (University of Southern California, USA) discussed these and other questions in his honorary lecture, entitled 'Feeling, Knowing, and Artificial Intelligence'.The talk was delivered on April 16 at the at the XXII April International Academic Conference held by HSE University jointly with Sberbank.
20 April 2021
Researchers Develop a Programme to Find Cipher Vulnerabilities
Anastasia Malashina, a doctoral student at HSE University, has proposed a new method to assess vulnerabilities in encryption systems, which is based on a brute-force search of possible options of symbol deciphering. The algorithm was also implemented in a programme, which can be used to find vulnerabilities in ciphers. The results of the study were published in a paper ‘Software development for the study of natural language characteristics’.

Book chapter

Multideck structures of boundary layers in compressible flows

P. 51-56.
Gaydukov R., Danilov V.

Equations describing the double- and triple-deck structure are demonstrated for the case of compressible flows along a small perturbed plate for large Reynolds numbers. Numerical and analytical investigations of the influence of the upstream flow on the behavior of the flow in the near-wall region are presented.

Language: English
DOI
Keywords: Double-deck structureTriple-deck structureasymptoticcompressible flowboundary layer theory
Publication based on the results of: Mathematical Modeling of Resonance SystemsMathematical modeling of resonance systems(2019)

In book

Proceedings of the International Conference DAYS on DIFFRACTION 2019
IEEE, 2019.
Similar publications
Асимптотики решений задач обтекания несжимаемой жидкостью поверхностей c малыми неровностями при больших числах Рейнольдса
Гайдуков Р. К., Данилов В. Г. Наноструктуры. Математическая физика и моделирование. 2016. Т. 15. № 1. С. 5-102.

We study the existence conditions for a double-deck structure of a boundary layer in typical problems of incompressible fluid flow along surfaces with small irregularities (periodic or localized) for large Reynolds number. We obtain characteristic scales (a power of a small parameter included in a solution) which lead to the double-deck structure, and we obtain a formal asymptotic solution of a problem of a flow inside an axially-symmetric pipe and a two-dimensional channel with small periodic irregularities on the wall. We prove that a quasistationary solution of a Rayleigh-type equation (which describes the flow oscillation on the “upper deck” of the boundary layer with the double-deck structure, i.e. in the classical Prandtl boundary layer) exists and is stable. We obtain a formal asymptotic solution with the double-deck structure for the problem of fluid flow along a plate with small localized irregularities such as hump, step or small angle. We construct a numerical solution algorithm for all equations which we obtained and we show the results of their applications.

Added: Sep 27, 2016
Double-deck structures of boundary layers in flows
Gaidukov R.K., Danilov V.G. In bk.: Abstracts: Russian-French Workshop “Mathematical Hydrodynamics”, August 22–27, 2016. Novosibirsk: 2016. P. 20-22.

We consider a non-stationary problem of an incompressible viscous fluid flow along surfaces with small irregularities for large Reynolds number, which have a formal asymptotic solution with a double-deck structure of the boundary layer.

Added: Sep 28, 2016
Vortices in the Prandtl boundary layer induced by irregularities on a plate
Danilov V., Gaydukov R. Russian Journal of Mathematical Physics. 2015. Vol. 22. No. 2. P. 161-173.

A fluid flow along a plate with small irregularities on the surface is considered for large Reynolds numbers. The boundary layer has a double-deck structure, i.e., both a thin boundary layer and the classical Prandtl boundary layer are present. It is proved that the solution of the boundary-value problem thus obtained exists and is unique in the Prandtl boundary layer, and the stability of the solution is investigated at large times. The results of numerical modeling are given. Supported by the Basic Research Program of the National Research University “Higher School of Economics.” © 2015, Pleiades Publishing, Ltd.

 

Added: Sep 3, 2015
Equations for velocity oscillations in problems of a fluid flow along a plate with small periodic irregularities on the surface for large Reynolds numbers
Gaydukov R., Danilov V. In bk.: Proceedings of the International Conference DAYS on DIFFRACTION 2018. IEEE, 2018. P. 118-123.

Depending on the scales of periodic irregularities in the problem under study, a solution arises which describes two (“double-deck”) or three (“triple-deck”) boundary layers on the plate. Mainly, we study the equations describing the velocity oscillations in the boundary layers arising because of periodic irregularities and show their command nature.

Added: Sep 18, 2018