14 research outputs found
Inverse Wave Spectral Problem with Discontinuous Wave Speed
No full textThe inverse problem for the Sturm{Liouville operator with complex pe- riodic potential and positive discontinuous coe±cients on the axis is studied. The main characteristics of the fundamental solutions and the spectrum of the operator are studied. The formulation of the inverse problem and a constructive procedure for its solution are given. The uniqueness theorem of the inverse problem is proven.The paper was finished during the time R.F. Efendiev visited Universite de Nantes as an invited professor. The author wishes to thank Prof. A. Nachaoui and Prof. A. Boulkhemair from Nantes University for discussing the paper as well as the administration of University for invitation and Laboratoire de Mathematiques Jean Leray for kind and warm hospitality
Inverse Wave Spectral Problem with Discontinuous Wave Speed
No full textThe inverse problem for the Sturm{Liouville operator with complex pe- riodic potential and positive discontinuous coe±cients on the axis is studied. The main characteristics of the fundamental solutions and the spectrum of the operator are studied. The formulation of the inverse problem and a constructive procedure for its solution are given. The uniqueness theorem of the inverse problem is proven.The paper was finished during the time R.F. Efendiev visited Universite de Nantes as an invited professor. The author wishes to thank Prof. A. Nachaoui and Prof. A. Boulkhemair from Nantes University for discussing the paper as well as the administration of University for invitation and Laboratoire de Mathematiques Jean Leray for kind and warm hospitality
Complete Solution of an Inverse Problem for One Class of the High Order Ordinary Differential Operators with Periodic Coefficients
No full textThe purpose of the present work is to solve the characterization problem, which consists of identi cation of necessary and su cient conditions on the scattering data ensuring that the reconstructed potential belongs to particular class.The author is grateful to Prof. M.G. Gasymov and Prof. I.M. Guseynov for useful discussions
Complete Solution of an Inverse Problem for One Class of the High Order Ordinary Differential Operators with Periodic Coefficients
No full textThe purpose of the present work is to solve the characterization problem, which consists of identi cation of necessary and su cient conditions on the scattering data ensuring that the reconstructed potential belongs to particular class.The author is grateful to Prof. M.G. Gasymov and Prof. I.M. Guseynov for useful discussions
Evolution equations arising in the modelling of life sciences
No full textThis book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically
Effective behavior of composite structures made of thermoelastic constituents with cylindrical periodicity
No full textIn this paper an extension of the asymptotic expansion homogenization technique is proposed for predicting the effective behavior of composite structures exhibiting periodicity with respect to cylindrical coordinates. The composite structures are made of thermoelastic constituents. One example is presented to demonstrate the use of the proposed methodology. © 2011 Published by Elsevier Ltd.The last three authors would like to acknowledge the financial support provided by NSF, Grant No. DMR-0844082 (IIMEC project) and Grant NSF DMS 0811180. This publication is partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). The second author would like to acknowledge the financial support provided by the Aristotle University of Thessaloniki Research Committee. The first author would like to thank the Department of Civil Engineering of Aristotle University of Thessaloniki for supporting its participation to ICM11
Effective thermoelastic properties of composites with periodicity in cylindrical coordinates
No full textThe aim of this work is to study composites that present cylindrical periodicity in the microstructure. The effective thermomechanical properties of these composites are identified using a modified version of the asymptotic expansion homogenization method, which accounts for unit cells with shell shape. The microscale response is also shown. Several numerical examples demonstrate the use of the proposed approach, which is validated by other micromechanics methods. © 2012 Elsevier Ltd. All rights reserved.The first, second and fourth authors would like to acknowledge the financial support provided by NSF, Grant No. DMR-0844082 (II-MEC project) and Grant NSF DMS 0811180. This publication is partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). The first author would like to acknowledge the financial support provided by the Research Committee of Aristotle University of Thessaloniki
An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems
No full textIn this paper, we develop an adaptive generalized multiscale discontinuous Galerkin method (GMsDGM) for a class of high-contrast flow problems and derive a priori and a posteriori error estimates for the method. Based on the a posteriori error estimator, we develop an adaptive enrichment algorithm for our GMsDGM and prove its convergence. The adaptive enrichment algorithm gives an automatic way to enrich the approximation space in regions where the solution requires more basis functions, which are shown to perform well compared with a uniform enrichment. We also discuss an approach that adaptively selects multiscale basis functions by correlating the residual to multiscale basis functions (cf. [S. S. Chen, D. L. Donoho, and M. A. Saunders, SIAM Rev., 43 (2001), pp. 129-159]). The proposed error indicators are L-based and can be inexpensively computed, which makes our approach efficient. Numerical results are presented that demonstrate the robustness of the proposed error indicators.The first author was partially supported by the Hong Kong RGC General Research Fund (project 400813) and CUHK Direct Grant for Research 2013/14
Narva kujutamine nõukogude aja teejuhis
Get PDFThe material analysed in the article consists of guidebooks on Narva published in the Soviet era: “Narva. Guidebook” (1960) by Evgeny Krivosheev; “Narva” (1960) by Silvi Kihu; “Narva. Guidebook” (1967) by Evgeny Krivosheev and Konstantin Mikhailov; “Narva. Guidebook” (1981) by Evgeny Krivosheev; “Narva. Guidebook” (1990) by Eldar Efendiev. The focus of attention is on the ideological functions of guidebooks. Under the influence of official ideology and historiography, the texts of Soviet guidebooks on Narva modelled the historical narrative about the city and created an image of Narva, which experienced a second birth after 1944. The image of Narva in the guidebooks splits into two images: historical (ancient, old) Narva and modern (Soviet, socialist, young, new) Narva. These two Narvas are dissimilar to each other: we cannot recognise the ancient city in the image of modern Narva. The history of the Soviet-era Narva guidebook can be seen as a history of attempts to resolve this contradiction or to escape from it. The ideological task of the Soviet guide to Narva was to justify the history of the city after 1940. The image of ancient Narva fades before the image of modern Narva. Actually, the guidebook becomes a guide to the achievements of socialist Narva. It can be said that the Soviet guidebooks on Narva are a vivid example of the ideological pressure of the epoch on the author of the text. However, the Soviet era was not always unified; the loosening of Soviet ideology in the 1980s affected Narva guidebooks as well
Line managers as a socio-professional group
No full textThe article is dedicated to the analysis of line managers’ role and position in modern Russian business society, as well as the membership of line managers in the socio — professional group of managers. Line managers were considered as the owners of specific capital
(physical, human, social and administrative), distinctive for managers’ group. The author
focuses on administrative capital as the most important management authority indicator.
The empirical part of the work was based on the results of a standardized survey of 1116 line
managers in 400 organizations from 11 industries. The results indicated that modern Russian managers have high levels of physical, human, social capital, and, moreover, quite a
high level of administrative capital that is close to middle and top levels. Line managers
have significant authority in terms of control, organization, and planning, as well as fairly
high power in HR and finances compared to the results of previous studies. The results
demonstrated the evolution of a line manager from supervisor to a full-fledged manager
with a higher level of education, salary, authority, and social status. Therefore, line managers
can be assigned to the socio-professional group of managers and line managers should be
included in research on social and managerial topics. Moreover, they should be investigated
as an independent phenomenon. Line managers can become a fundamental potential in the
struggle for a competitive advantage during a crisis and an unstable economy, they deserve
attention from both the scientific and business sphere.The study was supported by the HSE Program of Fundamental Studies under the direction
of A. G. Efendiev
