?
Isaak Rubin: historian of economic thought during the Stalinization of social sciences in Soviet Russia
Boldyrev I., Kragh M.
We study the system of Euler equations with the so-called Ekman damping in the whole 2D space. The global well-posedness and dissipativity for the weak infinite energy solutions of this problem in the uniformly local spaces is verified based on the further development of the weighted energy theory for the Navier-Stokes and Euler type problems. In addition, the existence of weak locally compact global attractor is proved and some extra compactness of this attractor is obtained.
Abrashkin A. A., Journal of Mathematical Fluid Mechanics 2025 Vol. 27 Article 59
Three-dimensional hydrodynamic equations of ideal incompressible fluid in Lagrangian form are considered. Their explicit solution is obtained. The trajectories of fluid particles are complex spatial curves depending on four frequencies. The vortex lines precess around the vertical axis. Their shape is determined by an arbitrary function depending on the axial Lagrangian coordinate. It is shown ...
Added: October 23, 2025
Zlotnik A., Lapukhina A. V., Journal of Mathematical Sciences 2010 Vol. 169 No. 1 P. 84–97
We consider an initial-boundary value problem for the one-dimensional nonstationary Schrödinger equation on the half-axis and study a two-level symmetric finite-difference scheme of Numerov type with higher approximation order. This scheme is constructed on a finite mesh, which is uniform with respect to space, with a nonlocal approximate transparent boundary condition of a general form ...
Added: December 23, 2015
Злотник А.А., Лапухина А., Проблемы математического анализа 2010 № 47 С. 77–88
Нестационарное уравнение Шрёдингера относится к основным уравнениям математической физики и находит многочисленные приложения. Очень часто его приходится численно решать в неограниченных по пространству областях. Для этой цели разработан ряд подходов, связанных с постановкой искусственных или приближенных прозрачных граничных условий (ПГУ) на искусственных границах. Среди них следует выделить подход, использующий так называемые дискретные ПГУ. Серьезный практический ...
Added: December 22, 2015
Timofeev D. V., / Series WP BRP "Basic research program". 2015. No. 20.
Russian recession of 2014/2015 began with ruble run and rise of inflation. It is just the opposite of the western-type deflationary slump combined with money hoarding. Does it mean that Russians need different micro-model to describe saving and consumption behavior? This study show that work-horse log-linearized rational SDF with CRRA utility still provides good explanation ...
Added: November 20, 2015
Zlotnik A., Gavrilin V. A., Вестник Московского энергетического института 2016 № 1 С. 5–14
Изучается семейство трехточечных симметричных дискретизаций по пространству квазигидродинамической системы уравнений с общими уравнениями состояния газа. Выводится уравнение баланса энтропии. В нем вид сеточных дисбалансных слагаемых зависит от выбора усреднений плотности и внутренней энергии; для специальных усреднений недивергентные дисбалансные слагаемые равны 0. Выполняются расчеты известных тестов для системы уравнений Эйлера при различных уравнениях состояния. Их результаты ...
Added: October 9, 2015
Chepyzhov V. V., Zelik S., Journal of Mathematical Fluid Mechanics 2015 Vol. 17 No. 3 P. 513–532
We study the system of Euler equations with the so-called Ekman damping in the whole 2D space. The global well-posedness and dissipativity for the weak infinite energy solutions of this problem in the uniformly local spaces is verified based on the further development of the weighted energy theory for the Navier–Stokes and Euler type problems. ...
Added: September 3, 2015
Zlotnik Alexander, / Series math "arxiv.org". 2015.
We deal with an initial-boundary value problem for the generalized time-dependent Schr\"odinger equation with variable coefficients in an unbounded $n$--dimensional parallelepiped ($n\geq 1$). To solve it, the Crank-Nicolson in time and the polylinear finite element in space method with the discrete transpa\-rent boundary conditions is considered. We present its stability properties and derive new error ...
Added: March 27, 2015
Zlotnik A., , in: Finite Difference Methods, Theory and Applications 6th International Conference, FDM 2014, Lozenetz, Bulgaria, June 18-23, 2014, Revised Selected PapersVol. 9045.: Zürich: Springer, 2015. P. 129–141.
We deal with an initial-boundary value problem for the generalized time-dependent Schrödinger equation with variable coefficients in an unbounded $n$-dimensional parallelepiped ($n\geq 1$). To solve it, the Crank-Nicolson in time and the polylinear finite element in space method with the discrete transparent boundary conditions is considered. We present its stability properties and derive new error ...
Added: March 23, 2015
Zlotnik A., В кн.: Актуальные проблемы математической физики. Сборник тезисов докладов.: М.: Физический факультет МГУ им. М.В. Ломоносова, 2014. С. 48–51.
Уравнение Шрёдингера играет важную роль в квантовой механике и электронике, ядерной, атомной, волновой физике и др. Часто его необходимо решать в неограниченных областях. Для этой цели разработан ряд методов, обычно использующих приближенные прозрачные граничные условия (ПГУ) на искусственных границах, в том числе дискретные ПГУ. Для последних полностью отсутствуют отражения от искусственных границ на практике и ...
Added: November 28, 2014
Zlotnik Alexander, Kinetic and Related Models 2015 Vol. 8 No. 3 P. 587–613
We deal with the initial-boundary value problem for the 1D time-dependent Schrödinger equation on the half-axis. The scheme with the Numerov averages on the non-uniform space mesh and of the Crank-Nicolson type in time is studied, with some approximate transparent boundary conditions (TBCs). Deriving bounds for the skew-Hermitian parts of the Numerov sesquilinear forms, we ...
Added: November 27, 2014
Novak A., Larin A. V., Khvostova I., Panoeconomicus 2016 Vol. 4 No. 63 P. 395–409
This paper presents estimates for the consumption Euler equation for Russia. The estimation is based on micro-level panel data and accounts for the preference heterogeneity, measurement errors, and the impact of macroeconomic shocks. The presence of multiplicative habits is checked with the LM-test in a GMM framework. We obtain estimates of the elasticity of intertemporal ...
Added: April 21, 2014
Novak A., Larin A. V., , in: Proceedings of the International Scientific Conference for Doctoral Students and Young Researchers EDAMBA 2013.: Bratislava: Publishing House EKONOM, 2013. P. 1077–1089.
This paper investigated the household consumption behavior in Russia. The model assumes that household consumption can be described by the Euler equation. Using panel data on households (Russian Longitudinal Monitoring Survey–Higher School of Economics [RLMSHSE]) from 2000 to 2011, we obtained the estimates of the elasticity of intertemporal substitution. ...
Added: February 28, 2014
Novak A., Larin A. V., Khvostova I., / NRU Higher School of Economics. Series WP BRP "Economics/EC". 2014. No. 52.
This paper presents estimates for the consumption Euler equation for Russia. The estimation is based on micro-level panel data and accounts for the preference heterogeneity, measurement errors, and the impact of macroeconomic shocks. The presence of multiplicative habits is checked with the LM-test in a GMM framework. We obtain estimates of the elasticity of intertemporal ...
Added: February 11, 2014
Larin A. V., Novak A., Khvostova I., Прикладная эконометрика 2013 Т. 32 № 4 С. 29–44
This paper investigates household consumption behavior in Russia. The model assumes that household consumption can be determined both by Euler equation and the rule of thumb. Using panel data on households (RLMS-HSE) from 2000 to 2011, we present estimates of elasticity of intertemporal substitution and show that an essential part of households consume part of ...
Added: September 23, 2013
Sobolevski A., Khanin K., Khmelev D. V., , in: Idempotent mathematics and mathematical physics.: Providence: American Mathematical Society, 2005. P. 161–179.
We construct an example of blow-up in a ”ow of min-plus linear operators arising as solution operators for a Hamilton…Jacobi equation @S/@t+|∇S|/ + U(x, t) = 0, where > 1 and the potential U(x, t) is uniformly bounded together with its gradient. The construction is based on the fact that, for a suitable potential ...
Added: April 29, 2013
Zlotnik A., Koltsova N., Computational Methods in Applied Mathematics 2013 Vol. 13 No. 2 P. 119–138
An initial-boundary value problem for the 1D self-adjoint parabolic equation on the half-axis is solved. We study a broad family of two-level finite-difference schemes with two parameters related to averages both in time and space. Stability in two norms is proved by the energy method. Also discrete transparent boundary conditions are rigorously derived for schemes ...
Added: April 6, 2013