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On a flow of liquid crystal in the axisymmetric boundary layer
Journal of Non-Newtonian Fluid Mechanics. 2023. Vol. 320. Article 105112.
Romanov M., Yulia O. Koroleva
We have studied the two-dimensional axisymmetric Ericksen–Leslie equations with the non-zero inertial constant. The existence and uniqueness of the global weak solution is proved under certain assumptions. In the neighbourhood of the solid surface we derived the boundary layer equations and show that the effective viscosity of the liquid in the boundary layer decreases as the inertial constant grows. Under the assumption that the Reynolds number is large enough we prove the solution to the boundary layer equations to be close to the solution of the original problem in the Sobolev space.
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Маликов М. А., Монахова Э. А., Rzaev E. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2026 Т. 168 № 2 С. 269–286
This article examines series of families of two-dimensional circulant networks with rectangular
L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
between the links and a bounded length of the maximum link that does not depend on the network
size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
Added: July 8, 2026
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
S̀liwa I., Maslennikov P., Pasechnik S. et al., Chemical Physics Letters 2025 Vol. 883 Article 142528
A numerical study of the effect of thermomechanical force on dissipation processes in a microsized compressible and incompressible hybrid aligned nematics has been carried out. Calculations have shown that under the effect of a temperature gradient , a hybrid aligned compressible and incompressible nematic samples settles down to the stationary flow regimes, and the thermomechanical force strongly ...
Added: November 27, 2025
Kasapenko N., Orlova T., N. Kondratyuk, Journal of Chemical Physics 2025 Vol. 162 No. 15 Article 154901
Molecular dynamics methods have proven their applicability for the simulation of the structure and properties of liquid crystals. For the reproduction of phase transitions in liquid crystals, many authors have reparameterized the classical force fields. For the first time, we demonstrate that even a general-purpose force field, for example, General AMBER Force Field (GAFF), without ...
Added: August 12, 2025
P. V. Dolganov, K. D. Baklanova, Dolganov V. K., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 106 No. 1 Article 014703
Focal conic structure formed near the transition from the cholesteric liquid crystal phase into isotropic liquid is studied in planar cells with a combination of optical methods. Employing a procedure with slow variation of temperature, we manage to obtain regions of periodic focal conic structure with two-dimensional square ordering in the plane of the cell. ...
Added: July 14, 2022
P.V. Dolganov, Зверев А. С., K. D. Baklanova et al., Soft Matter 2022 Vol. 18 P. 126–136
We investigated the coalescence of nematic droplets in an isotropic environment and that of isotropic droplets in a nematic environment in quasi-two-dimensional geometry of a flat optical cell. Two different regimes of coalescence were found. In the circular meniscus between the nematic and isotropic regions both nematic and isotropic phases exist. As a result, two bridges form at ...
Added: December 23, 2021
P.V. Dolganov, Zverev A. S., K.D. Baklanova et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2021 Vol. 104 No. 1 Article 014702
We observed the formation of small satellite droplets from the bridge at
droplet coalescence. Investigations were made using a Hele-Shaw cell in
the two-phase region at the nematic-isotropic phase transition. In
previous works on coalescence it was considered that before the start of
coalescence there exists a bridge between the outer fluid connecting
regions on the two sides of the ...
Added: October 4, 2021
Shuravin N. S., P.V. Dolganov, Dolganov V. K., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2018 Vol. 98 P. 052705-1–052705-6
Optical investigations and calculation of structures were performed on films of liquid crystal with the sequence of phase transitions in the bulk sample SmC*A − SmC*d3 − SmC*d4 − SmC* − SmC*α − SmA − I . We investigated freestanding nanofilms with number of smectic layers from 2 to 6 with thickness commensurate, smaller, or ...
Added: November 25, 2019