One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid
We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluids.The problem reduces to consecutively solution three linear partial differential equations for a nonviscous fluid and to solving three linear partial differential equations and one first-order ordinary differential equation for a viscous fluid.
1. Kato T. Global solutions of two-dimensional Navier-Stokes and Euler equations ...
Portfolio optimization in the case of an exponential utility function and in the presence of an illiquid asset
... of the admitted Lie algebra. We prove that in just one case the invariant reduction is consistent with the boundary condition. This reduction represents a significant simplification of the original problem.
1. Bordag L. A. Geometrical properties of differential equations. Applications of Lie group analysis in Financial Mathematics. Singapore, 2015.
2. Bordag L. A., Yamshchikov I. P. Lie group analysis of nonlinear Black-Scholes models // Ehrhardt M., Günther M., ter Maten E. J. W. (eds.). Novel ...
Cytokine-induced regulation of maturation, differentiation, and apoptotic death of immune memory T-lymphocytes
... apoptotic death to prevent the development of autoimmune and neoplastic reactions. T-lymphocytes of immune memory are under strict control from the immune system.
The role of γc-cytokines (IL-2, IL-7, and IL-15) in the regulation of maturation, differentiation, and apoptotic death of memory T-lymphocytes under in vitro cultivation conditions was evaluated.
The study revealed the ability of γc-cytokines to increase the content of CD3+HLA-DR+CD95+ T cells in the effector populations of immune ...
Coastal and western border centers in the system of large cities of modern Russia: socio-economic and innovation development.
... number of publications in peer-reviewed journals, indexed in Scopus) the study confirmed the hypothesis on ‘coastalizing’ socio-economic and innovative potential and advanced growth of coastal centers. At the same time, there is also a high differentiation within the group of coastal cities, indicating that such trends are valid only at the national level. Differentiation and the gap on a number of indicators are fixed with respect to the group of Western Russian cities located in the border ...
Clinical cases, pathogenesis and diagnosis of catatonia in affective disorders (depression and mania) in adolescents
...
Methods — clinical observation in accordance with the ICD-10 diagnostic criteria for affective disorders in depression and mania, the use of Beck depression scale, Beck anxiety scale, Young scale of mania, Bush-Francis catatonia rating scale. Differential diagnosis with the participation of a team of specialists: neurologist, psychiatrist, clinical psychologist, cardiologist, infectious disease specialist, pediatrician.
Results and discussion. Catatonia in children occurs in various conditions ...
Socio-spatial differentiation in transition: a preliminary comparative analysis of post-soviet St Petersburg and Riga
... in the conditions of globalization and eco-nomic liberalization; the earlier model of spatial development changed dramatically as a result. The multi-scalar and comparative approaches may shed new light on the complex patterns of urban socio-spatial differentiation and its post-Soviet dynamics. Growing regional socio-economic imbalances observed in the former socialist states are lending new urgency to this area of research. This study employs a comparative approach to investigate post-1991 socio-spatial ...
A model of mid-scale irregularities of the low-latitude Earth ionosphere : evaluations of a non-linear correction method for the Z-scheme
A nonlinear correction of the finite-differential scheme for solution of the cross convection-diffusion equations within models of the Rayleigh — Taylor instability in the equatorial region of the Earth ionosphere is considered. For test problems the experimental value of the approximation order of the offered method of non-linear correction of the finite-differential scheme for different types of limiters is received numerically.
1. Гайдуков В. Ю., Кащенко Н. М., Мациевский...
Сonservative therapy of atypical endometrial hyperplasia and well-differentiated endometrial carcinoma: immunohystochemical aspects
The authors evaluated the effectiveness of a complex conservative therapy in childless women of reproductive age having atypical endometrial hyperplasia and well-differentiated endometrial carcinoma. The study examines the effectiveness of combining the gonadotropin-releasing hormone agonist (GnRH) and the levonorgestrel-releasing intrauterine system. All patients had immunohistochemical staining for ER, PR, ki-67, bcl-2, p 53, E-cadherin before and after treatment. From 2008 to 2015, none of the...
Giving the 1st order affine connection by means of the 2nd order vector-valued forms
.... It is proved that affine connection in bundle of tangent linear frames defines horizontal linear operator (2nd order hor-izontal horizontal-valued form of 1st order affine connection) in 2nd order tan-gent bundle. It is shown that the second usual differential of a point of a mani-fold it is possible to present as sum of vertical and horizontal projectors.
1. Акивис М. А. Многомерная дифференциальная геометрия. Калинин, 1977.
2. Бишоп Р....
Normalization of basic structural subbundle of distribution in second order differential neighborhood
Norden inner normalization fields of basic structural subbundle of hyperband distribution are constructed in second order differential neighborhood of affine space. It is showed that first order normal (L-virual affine normal, Blashke normal, Trenson normal) corresponding to each of subbundle belongs to the same sheaf in any center A. Sheafs of second order normal of Λ-,...
A Lax pair for the (1+3) nonlinear equation
Integral systems with four independent variables have special signifi-cance in mathematics and physics. The discovery of inverse scattering method played an important role in reconsidering the place of integrable systems of nonlinear partial differential equations in mathematical sciences. The search for a systematic approach to developing exact solutions of such systems has become one of the main problems in the theory of integrable systems.
1. Fokas A. S. Symmetries and integrability // ...
Linear and center-projective quotient groups of the second order differential group
The problem of constructing of center-projective group by factorization of the second order differential group is considered.
. Евтушик Л. Е. Дифференциальные связности и инфинитезимальные преобразования продолженной псевдогруппы // Труды геометрического ...
The multivalue method for solving differential equations with fractional derivatives
A multivalue method for decision of differential equations including fractional derivatives is offered. A research of approximation and stability of the method is carried out.
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Чукбар К. В.
Стохастический перенос и дробные производные ...
An application of the Abel equation of first type to the task of solving the Friedman equations
...
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The income differentiation among the residents of Latvia in 2000—2008
This paper provides an analysis of income differentiation among the residents of Latvian regions in order to assess the government’s economic policies aimed at the development of a socially inclusive market economy in the country. The paper describes the dynamics of changes in the income of ...
Spatial differentiation of rural territories in the Kaliningrad region: implications for socio-economic policies
... alongside the development of a comprehensive spatial development strategy for the region. The article outlines proposals in this regard.
Introduction
Numerous works published in Russia and internationally have looked at the problems of spatial differentiation, with a special focus on rural peripherisation. This article draws on a range of ideas put forward in those works.
Globally, the development of the rural economy and rural settlement patterns is significantly influenced by core-periphery ...
Building a model of terminological fields on an example of the “Pelvis injuries” terminological field
... lexical base of each lexico-semantic group using the thesaurus approach. The second step describes the structure of each lexico-semantic group with the help of elements ordering its lexical composition; these elements are distinguished on the basis of differential semes identified by applying the method of component analysis. The third step is a graphical representation of each lexico-semantic group in the form of a tree-like graph consisting of elements of two types — terms and units structuring ...
Development of municipal districts in Saint Petersburg over the last decade: an economic and spatial analysis
... Shendrik, A. V., Mezhevich, N. M., Krasnov, A. I. 2017, Post-Soviet Urban Environment: the Experience of St. Petersburg, Regional Research of Russia, vol. 7, № 3, p. 249—258.
17. Zhitin, D. V., Krisjane, Z., Sechi, G., Berzins, M. 2020, Socio-spatial differentiation in transition: a preliminary comparative analysis of post-soviet Saint Petersburg and Riga, Balt. Reg., vol. 12, № 1, p. 85—114. doi:
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Closed lattice of Toda equations
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System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry
... № 2. С. 207—219.
4. Адлер В. Э., Шабат А. Б. Об одном классе цепочек Тоды // Теоретическая и математическая физика. 1997. Т. 111, № 3. С. 323—334.
5. Levi D. Nonlinear Differential Difference Equations as Bäcklund Transformations // J. Phys. A: Math. Gen. 1981. Vol. 14, iss. 5. P. 1083—1098.
6. Шабат А. Б., Ямилов Р. И. Симметрии нелинейных цепочек // Алгебра и анализ....
The territorial differentiation of demographic development of the Baltic macroregion
...
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Baltic macroregion, natural population change, population change by migration, territorial differentiation.
131-137
Hemozoin accumulation associated with Opisthorchis felineus infection and the analysis of its role in changing the bile ducts microbiota
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6. Lamikanra A. A. et al. Hemozoin (malarial pigment) directly promotes apoptosis of erythroid precursors // PloS one. 2009. Vol. 4, № 12. P. e8446.
7. Deroost K. et al. Hemozoin induces hepatic inflammation in mice and is differentially associated with liver pathology depending on the Plasmodium strain // PloS one. 2014. Vol. 9, № 11. P. e113519.
8. Truscott M. et al. Schistosoma mansoni hemozoin modulates alternative activation of macrophages via specific suppression ...
Differential comparisons for the components of the curvature object of affine connection of the second order
Differential comparisons for the components of the curvature object of affine connection of the second order are received. These comparisons show that, in the general case, the second-order curvature object forms a geometric object only in conjunction ...
The derivation formulas and equations for an affine space structure from the point of view of smooth manifolds
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11. Шевченко Ю. И. Голономные и полуголономные подмногообразия гладких ...