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Unsteady edge waves generated by time-harmonic pressure: exact solutions
Journal of Physics A: Mathematical and Theoretical. 2022. Vol. 55. No. 41. Article 415701.
An analytical description of unsteady edge waves over a uniform slope is proposed. It is assumed that the waves are excited by time-harmonic external pressure with inhomogeneous spatial distribution. The problem is considered in Lagrangian variables. An exact solution of the hydrodynamic equations is obtained. It generalizes the stationary Gerstner–Constantin solution. The proposed model describes the dynamics of coastal splashes of arbitrary initial
shape. An important feature of the new solution is that it describes waves both propagating and standing in the longshore direction.
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 2026 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
Ivchenko A., Шестопёров А. И., Фомина Е. В., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
Никонов В. Д., Никитин С. С., Патракеев М. В., Ionics 2025 Vol. 31 No. 1 P. 675–687
Modification of perovskite-type oxides is an effective way to develop functional materials with advanced properties. The effects of cerium introduction into the A sublattice of La0.5Sr0.5FeO3−δ and variation of La:Sr ratio on the defect structure and charge transfer characteristics were studied in this work. The LaxSr0.85−xCe0.15FeO3−δ oxides were found to be single-phase with cubic (x = 0.1) and orthorhombic ...
Added: June 26, 2026
Podolskaia E., Вопросы лесной науки 2022 Т. 5 № 4 С. 1–21
Paper presents an overview of history and current research state on the use of remote sensing data from
space to recognize roads for the regional projects. We have characterized principles of road detection on the imagery. A group of direct deciphering signs used in combinations such as brightness and texture, geometry and
brightness. Three research directions with ...
Added: June 25, 2026
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
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
Abrashkin A. A., World Scientific Publishing Co. Pte. Ltd, 2025.
This book is devoted to the problems of the analytical description of incompressible fluid flows in Lagrangian variables. Commonly, specialists in fluid dynamics prefer to use the Euler approach. For example, even classical textbooks by J. Batchelor, L.G. Loitsyansky, L.D. Landau, and E.M. Lifshitz do not provide the Lagrange equations of f luid dynamics. Exceptions ...
Added: January 28, 2025
A. A. Abrashkin, E. N. Pelinovsky, Radiophysics and Quantum Electronics 2023 Vol. 66 No. 2-3 P. 116–128
By convention, water waves are studied under the assumption of their potentiality. This approx imation is not always valid in natural conditions. The vorticity is introduced by shear currents, which are ubiquitous in the ocean. It is also generated in the near-surface layer as a result of wind action. When these factors are taken into ...
Added: January 21, 2025
Shvarts K.G., Russian Journal of Nonlinear Dynamics 2019 Vol. 15 No. 3 P. 261–270
This paper presents a derivation of new exact solutions to the Navier – Stokes equations in
Boussinesq approximation describing two advective flows in a rotating thin horizontal fluid layer
with no-slip or free boundaries in a vibrational field. The layer rotates at a constant angular
velocity; the axis of rotation is aligned with the vertical axis of coordinates. ...
Added: November 24, 2024
Шварц К. Г., Шварц Ю. А., Известия РАН. Механика жидкости и газа 2020 № 1 С. 33–44
Представлено точное решение уравнений Навье-Стокса в приближении Буссинеска, описывающее плоскопараллельное адвективное течение в плоском слое несжимающейся жидкости с горизонтальными границами, на которых задано условие проскальзывания Навье и линейное распределение температуры. Исследуется поведение скорости и температуры с ростом значения параметра проскальзывания. В рамках линейной теории исследуется устойчивость адвективного течения на плоские и спиральные возмущения. В рамках ...
Added: November 24, 2024
Шварц К. Г., Шварц Ю. А., Прикладная математика и механика 2022 Т. 86 № 6 С. 926–937
Исследуется устойчивость адвективного течения в плоском горизонтальном слое несжимаемой жидкости с твердыми границами. На верхней границе слоя задано линейное распределение температуры, нижняя граница теплоизолированная. Плоскопараллельное течение, возникшее под действием горизонтальной конвекции, описывается аналитически в виде точного решения уравнений Навье-Стокса в приближении Буссинеска. В рамках линейной теории исследуется устойчивость адвективного течения на нормальные возмущения при различных ...
Added: November 21, 2024
Шварц К. Г., Известия РАН. Механика жидкости и газа 2022 № 2 С. 38–50
The stability of advective flow in a flat rotating horizontal layer of incompressible fluid with solid boundaries is studied. A linear temperature distribution is set on the upper boundary of the layer, the lower boundary is thermally insulated. The advective flow due to horizontal convection is described analytically in the form of a new exact ...
Added: November 18, 2024
Shvarts K. G., Russian Journal of Nonlinear Dynamics 2023 Vol. 19 No. 2 P. 219–226
In this paper a new exact solution of the Navier – Stokes equations in the Boussinesq approximation describing advective flow in a horizontal liquid layer with free boundaries, where the vertical velocity component is a constant value, is obtained. The temperature is linear along the boundaries of the layer. Solutions of this kind are used ...
Added: November 16, 2024
Л.И. Кузьмина, Осипов Ю. В., Строительные материалы 2024 № 8 С. 63–68
Фильтрация суспензий и коллоидов в пористых материалах встречается при строительстве и эксплуатации гидросооружений, туннелей и подземных хранилищ. Модели фильтрации используются при расчете проникновения укрепителя в рыхлый грунт, при очистке питьевой воды и промышленных стоков. В процессе фильтрации взвешенные частицы проходят через крупные поры и застревают на входе пор малого диаметра. Задержанные частицы образуют неподвижный осадок. ...
Added: October 31, 2024
Liudmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2024 Vol. 20 No. 3 P. 116–124
Strengthening of loose soil and creation of water-resistant underground walls are associated with filtration of small particles in a porous medium. Liquid solution pumped into a well under pressure spreads through hollow channels and strengthens the soil upon hardening. Many porous filters retain particles near the entrance. The particles deposited on the filter surface form ...
Added: October 31, 2024
Liudmila Kuzmina, Osipov Y., , in: BIO Web of Conferences: Volume 107:19th International Conference Water and Wastewater: Transportation, Treatment, Management “Yakovlev Readings” (YRC-2024)Vol. 107.: EDP Sciences, 2024. Ch. 03003.
The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier fluid and the deposition of particles on the framework of a porous medium. The ...
Added: June 27, 2024
Kuzmina L., Osipov Y., , in: Proceedings of the 8th International Technical Conference on Frontiers of HCET 2023. Advances in Transdisciplinary Engineering, Volume 43.: IOS Press, 2023. P. 450–455.
Suspension and colloid filtration in porous rocks is encountered in problems of underground hydromechanics associated with construction. The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow ...
Added: June 27, 2024
Л. И. Кузьмина, Осипов Ю. В., Строительные материалы 2023 № 9 С. 89–93
Фильтрация взвешенных твердых частиц в пористом материале моделирует процессы укрепления фундаментов, создания водонепроницаемых стен в горной породе, строительстве и реконструкции дорог, кольматацию (осаждение частиц) в призабойной зоне скважины компонентами бурового раствора при нефтедобыче, работу фильтрующих элементов очистных сооружений и многое другое. Целью настоящей работы явилось исследование фильтрации монодисперсной суспензии высокой концентрации в однородной пористой среде, ...
Added: October 31, 2023
Mukhin S., Mukherjee A., Seidov S., Journal of Experimental and Theoretical Physics 2021 Vol. 132
Added: September 17, 2023