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Plane-Parallel Advective Flow in a Horizontal Layer of Incompressible Permeable Fluid
Russian Journal of Nonlinear Dynamics. 2023. Vol. 19. No. 2. P. 219–226.
Shvarts K. G.
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 to close three-dimensional equations averaged across the layer in the derivation of two-dimensional models of nonisothermal large-scale flows in a thin layer of liquid or incompressible gas. The properties of advective flow at different values of Reynolds number and Prandtl number are investigated.
Keywords: exact solution
Arutyunov K., Kharitonov I. A., Petrosyants K. O., JETP Letters 2026 Vol. 124 No. 6 P. 1–16
Superconducting properties of metallic micro- and nanowires can be entirely different from those of bulk superconductors. Of particular interest is the nonequilibrium current-induced state of a quasi-one-dimensional superconducting channel. The most interesting phenomenon here is the stepped I–V characteristic, explained by a process known as phase slip center activation. If the origin of such step-like ...
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Makarov D. M., Kalikin N., Fashchevsky K. A. et al., Electrochimica Acta 2026 Vol. 579 Article 150159
Machine learning (ML) has become a powerful tool for accelerating the development of carbon-based supercapacitors;
however, most published models assume that a single predictive framework can describe both conventional
porous carbons and hybrid carbon electrodes. Here, we test this assumption using a comprehensive
benchmark dataset and an extended literature-curated dataset enriched with synthesis- and electrolyte-related
descriptors. Three ML algorithms ...
Added: October 13, 2026
Махлуф М., Ozhegov R., Elezov M. et al., Фотоника 2026 Vol. 20 No. 6 P. 414–423
This paper compares the ranging precision of direct time-of-flight (dToF) and non-line-of-sight (NLOS) LiDAR architectures, both using a superconducting nanowire single-photon detector (SNSPD). Both systems operate at 1550 nm with a 50 ps pulsed laser and time-correlated single-photon counting (TCSPC). The dToF configuration achieved approximately 100 µm precision at 10 m, while the NLOS configuration achieved 500 µm precision for ...
Added: October 12, 2026
Singapore: Springer, 2026.
This volume presents the Proceedings of the 34th IUPAP Conference on Computational Physics (CCP2023), held in Kobe, Japan on August 4–8, 2023. It offers a collection of peer-reviewed articles that highlight recent developments in computational and simulation research across various areas of physics. Key topics include the use of data science, quantum computing, and machine ...
Added: October 12, 2026
Goncharov A., Chibisov A., Advanced Theory and Simulations 2023 Vol. 12 No. 13 Article 2200816
Designing stable quantum computers with the ability to correct errors responsibly requires a detailed understanding of the physical processes that underlie these devices. In this study, detailed quantum mechanical simulations of the atomic structure, charge distribution of electron density, and distribution and orientation of magnetic and quantum states as a function of applied external pressure ...
Added: October 11, 2026
Chibisov A., Gnidenko A., Chibisova M. et al., FlatChem 2023 Vol. 41 Article 100533
Manufacturing precise quantum computers with small errors in quantum operations, long coherence times, and low power consumption is the most important challenge in modern nanoelectronics. To understand the operating modes of such calculators in detail, both the optimal arrangement of the qubit system within the structure and changes in its magnetic properties must be comprehensively ...
Added: October 11, 2026
Wu Z., Yu Y., Chibisov A., Materials Today Energy 2023 Vol. 37 Article 101414
The limited availability of lithium metal resources has led to the development of sodium/potassium-ion batteries due to the abundance and low cost of sodium/potassium. However, finding suitable cathode materials with high capacity, stable cycling performance, and efficient electrochemical interface is still challenging. Herein, the honeycomb layered structures of P2-type A2Ni2TeO6 (A = Na, K) have been explored ...
Added: October 11, 2026
Prokhorenko A., Chibisov A., Gnidenko A. et al., The Journal of Physical Chemistry Letters 2024 Vol. 15 No. 41 P. 10295–10300
The development of ultrathin magnets with tunable magnetic properties is essential for advancing quantum computing technologies. In this study, density functional theory (DFT) calculations were employed to investigate the atomic and electronic structures of a ZnO monolayer embedded with cobalt atoms. The impact of spin dynamics on charge transfer within the Co:ZnO system was thoroughly ...
Added: October 11, 2026
Chibisov A., Chibisova M., Modern Electronic Materials 2025 Vol. 71 P. 99–103
The problem of creating energy-efficient quantum computers capable of performing quantum operations without errors is a significant scientific challenge in modern nanoelectronics. This type of computer can be developed using quantum transistors that contain hole qubits and are capable of performing operations on them. Hole qubits are a promising technology for quantum computers due to ...
Added: October 11, 2026
Tyagi V., Srivastava A., Mangal A. et al., Surfaces and Interfaces 2025 Vol. 73 Article 107591
The present work reports the suitability of Functionalized graphene sheet as a sensing material for detecting the diabetes biomarker acetone from Exhaled breath. The adsorption of Acetone on Boron/Nitrogen doped graphene sheet has been investigated using the Density Functional theory (DFT). The interaction between acetone and the graphene surface has been investigated in terms of ...
Added: October 11, 2026
Bulakh S., Chibisov A., Srivastava A., Russian Microelectronics 2026 Vol. 55 P. 311–315
The effect of sulfur vacancies on the electronic structure of a molybdenum disulfide (MoS2) monolayer has been studied using density functional theory (DFT) methods implemented in the VASP software package. The ideal structure and systems with one and two sulfur vacancies and various options of defect localization in the MoS2 structure have been discussed. A ...
Added: October 11, 2026
Vangapandu E., Agrawal S., Kumar S. et al., Materials Science in Semiconductor Processing 2026 Vol. 211 Article 110752
Silicides are widely used as local interconnects in integrated circuits (ICs); thus, their nanostructures shall enjoy significant process compatibility with the IC technology. This work reports the utilization of Gold (Au), copper (Cu), and aluminium (Al)-based mono-silicide nanotubes (zig-zag (ZZ) and armchair (AC)) for nanoscale interconnect applications, through a material-device-circuit co-modelling approach. These nanotubes exhibit ...
Added: October 10, 2026
Ozhegov R., Махлуф М., Goltsman G. et al., Инженерная физика 2026 № 8 С. 27–39
This paper investigates the theoretical limits of object detection within isotropic scattering media using single-photon lidar. Within a simplified model, we derive the fundamental relationship between the maximum attainable detection range and the required photon count per pulse. Two distinct limiting regimes are analyzed: the ballistic photon regime, which maintains high spatial resolution but necessitates ...
Added: October 8, 2026
Didenkulova E., Chugunov V., Didenkulova I., Wave Motion 2026 Vol. 147 Article 103787
This work presents a new analytical solution of the shallow water theory for cylindrical propagation of long tsunami-like waves in the basin of variable depth. Considered model cases are related to tsunami wave propagation from an asteroid fallen into the sea, or from underwater volcanic eruptions. The corresponding bottom geometries represent radially symmetric obstacles such ...
Added: October 8, 2026
Flamarion M., Didenkulova E., Pelinovsky E., Physics Letters A 2026 Vol. 598 Article 132218
In this letter, bipolar solitary wave interactions in the Schamel equation are revisited numerically. Two simulation settings are considered: repeated collisions in a periodic domain, and the interaction of a positive solitary wave with a train of negative polarity solitary waves of equal amplitude. In the first case, when the amplitudes are comparable, the larger ...
Added: October 8, 2026
Isaev T. F., Шаров А. Н., Журнал вычислительной математики и математической физики 2026 Т. 66 № 1 С. 83–93
Исследуются свойства оптических покрытий на основе использования упрощенного симулятора ошибок в толщинах слоев покрытий при их напылении. Обосновывается возможность такого подхода. Выводятся аналитические оценки среднеквадратичного значения нормы вектора ошибок и степени коррелированности ошибок в толщинах слоев покрытия. Изучается зависимость среднеквадратичного значения нормы вектора ошибок и свойств покрытия от уровня случайных ошибок в слоях. ...
Added: October 5, 2026
Осипова А. М., Пилипенко С. В., Novikov D. I. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 114 Article 063522
We investigate the prospects for observing a specific spectral distortion of the cosmic microwave
background, which occurs due to the anisotropy of the radiation when it is scattered by hot plasma of
galaxy clusters. Detection of this anisotropic Sunyaev-Zel’dovich effect would enable an independent
measurement of the CMB anisotropy multipoles with l 1⁄4 1, 2, 3, allow the ...
Added: October 5, 2026
Gribova N. I., Osmanov S. V., Lyashko S. D. et al., Journal of Magnetism and Magnetic Materials 2025 No. 614 P. 1–8
Here we demonstrate nanometer thick iron garnet films with high specific Faraday rotation suitable for
the magneto-optical applications. Bismuth-substituted iron garnet films of compositions Bi1Y2Fe5O12 and
Bi1Tm2Fe5O12 deposited on gadolinium gallium garnet substrate are fabricated and characterized. Their
thicknesses range from 2 to 10 nm, which corresponds to just a few crystal lattice constants. Spectacularly,
Faraday rotation of the ...
Added: October 4, 2026
Seleznev G., Fominov Yakov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074505
Dirty superconducting films with magnetic impurities can exhibit nontrivial behavior in a magnetic field that
polarizes the impurity spins. As predicted by Kharitonov and Feigelman (KF) [JETP Lett. 82, 421 (2005)],
this polarization reduces the exchange scattering rate. Consequently, a parallel magnetic field can enhance
the critical temperature Tc when magnetic-field pair breaking is weak, as realized for ...
Added: October 2, 2026
Kuzmina L., Osipov Y. V., International Journal for Computational Civil and Structural Engineering 2026 Vol. 22 No. 2 P. 138–148
Modeling the transport and sedimentation of small particles of suspensions and colloids in porous rocks is an important problem in subsurface hydromechanics. Particles entrained in fluid are transported and retained in the rock pores. The filtration process is determined by the number and size of pores and is characterized by porosity—the ratio of the void ...
Added: August 25, 2026
L. I. Kuzmina, Osipov Y. V., Mathematical notes, ISSN 0001-4346 2025 Vol. 116 No. 6 P. 1251–1261
We consider the displacement of oil by water with active chemical reagents in porous media. A one-dimensional model of reagent transport and deposition is defined by a hyperbolic system of first-order equations. The purpose of the article is to find the conditions for the existence of a continuous solution with discontinuous boundary and initial conditions. ...
Added: August 25, 2026
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
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