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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.
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Ponomarev A., Aleksandrov N., Plasma Physics Reports 2026 Vol. 52 No. 3 P. 367–378
An approximate method for calculating drift velocity and other kinetic coefficients of heavy ions
in a light gas is generalized to gaseous mixtures. Obtained equations are used to calculate the mobilities of
and ions, as well as rate constants for inelastic ion–molecule processes with these ions in helium with
small additions of O2 under an electric field. Calculated ...
Added: April 27, 2026
Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252
During magnetospheric perturbations a relatively thin current sheet with thickness about several
proton gyroradii forms in the Earth’s magnetotail. In a framework of the kinetic model describing current
sheet thinning in the magnetotail, the processes of its formation are investigated depending on the normal
magnetic field magnitude which affects both the current sheet structure and particle dynamics within ...
Added: April 27, 2026
Tsareva O. O., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2026 Vol. 52 No. 2 P. 179–185
The influence of asymmetry of plasma sources on the structure and spatial localization of a superthin
current sheet (STCS) supported by demagnetized electrons is studied using a self-consistent model. The
simulation takes into account the presence of a single plasma source in the northern hemisphere, which
makes the plasma flow asymmetric. It is demonstrated that the asymmetry of ...
Added: April 27, 2026
П.А.Беспалов, О.Н. Савина, Геомагнетизм и аэрономия 2025 Т. 65 № 5 С. 620–628
Several basic models of frequency dynamics in quasi-periodic VLF emissions with spectral form repetition
periods from 10 to 300 s are considered. In all cases, we are talking about manifestations of cyclotron instability
of electron radiation belts thet are well described within the framework of the plasma magnetospheric maser
theory based an the averaged self-consistent system of quasi-linear ...
Added: April 25, 2026
Bondarenko G.G., Fisher M. R., Kristya V. I., Bulletin of the Russian Academy of Sciences: Physics 2026 Vol. 90 No. 4 P. 572–576
A model of the cathode layer of a glow gas discharge with a thin dielectric film on a fraction of the
cathode’s working surface is formulated. It is shown that a glow discharge most rapidly transits to an arc discharge,
accompanied by a significant increase in discharge current density and a decrease in cathode voltage
drop, if the ...
Added: April 25, 2026
Pochinka O., Yakovlev E., Shmukler V., Russian Journal of Nonlinear Dynamics 2026
Every discrete dynamical system (cascade) generated by a homeomorphism induces a continuous
dynamic system (flow) — a suspension. However, not every flow is equivalent to a suspension
over a cascade, a necessary and sufficient condition for this is the existence of a global
section for the flow. In the case of the existence, the flow is equivalent to ...
Added: April 24, 2026
Кивалов С. Н., Fitzjarrald D., Boundary-Layer Meteorology 2018 Vol. 166 No. 2 P. 165–198
Cloud shadows lead to alternating light and dark periods at the surface, with
the most abrupt changes occurring in the presence of low-level forced cumulus clouds.
We examine multiyear irradiance time series observed at a research tower in a midlatitude
mixed deciduous forest (Harvard Forest, Massachusetts, USA: 42.53◦N, 72.17◦W) and one
made at a similar tower in a tropical ...
Added: April 24, 2026
Кивалов С. Н., Fitzjarrald D., Boundary-Layer Meteorology 2019 Vol. 173 No. 1 P. 1–52
We examine the physical and biological responses of forest canopies to step changes in light
caused by passing low cumulus clouds that intermittently block the direct solar beam. Using
data obtained at a tropical rainforest and at a midlatitude deciduous forest, we estimate the
course of sensible heat flux, net ecosystem exchange, evapotranspiration, and water-use efficiency in response ...
Added: April 24, 2026
Addressing effects of environment on eddy-covariance flux estimates at a temperate sedge-grass marsh
Кивалов С. Н., Dušek J., Czerný R. et al., Boundary-Layer Meteorology 2023 Vol. 186 P. 217–250
We examined the net-ecosystem-exchange (NEE)-based annual carbon-balance estimates
obtained from eddy-covariance (EC) measurements at an unmanaged sedge-grass marsh
ecosystem (Tˇreboˇn, Czech Republic, 49°1′ N, 14°46′ E), seeking methods to improve the EC
measurements in inhomogeneous environment. The data filtering procedure was developed
using three thresholds: (a) a stationarity test; (b) a stability u∗-threshold; and (c) a high relative
humidity RH-threshold. ...
Added: April 24, 2026
Кивалов С. Н., Лопес де Гереню В. О., Хорошаев Д. А. et al., Forests 2023 Vol. 14 No. 8 Article 1568
Soil respiration (SR) is a main component of the carbon cycle in terrestrial ecosystems,
and being strongly affected by changes in the environment, it is a good indicator of the ecosystem’s
ability to cope with climate change. This research aims to find better empirical SR models using
25-year-long SR monitoring in two forest ecosystems formed on sandy Entic ...
Added: April 24, 2026
Касицкий В. А., Кивалов С. Н., Лопес де Гереню В. О. et al., АгроЭкоИнфо 2025 Т. 5 Статья 517
Оценка дыхания почвы - одного из основных источников углекислого газа в атмосферу – необходима для корректного определения углеродного баланса в наземных экосистемах. Сравнение пульсационного и камерного методов измерения дыхания почвы, проведенные в березняке постагрогенном в регионе южного Подмосковья, показывает хорошую сопоставимость этих методов с коэффициентом детерминации R2=0.75 (p-value=7.546e-12). С учетом высокой пространственной и временной неоднородности ...
Added: April 24, 2026
Кивалов С. Н., Ecological Modelling 2024 Vol. 498 Article 110904
On certain kinds of cloudy days, many forested ecosystems exhibit enhanced carbon uptake and water-use efficiency-the cloudy-day forest flux anomaly. Using ensemble methods to analyze eddy-covariance fluxes, we have
diagnosed net ecosystem exchange (NEE) and water-use efficiency (WUE) of a temperate broadleaf forest and a
tropical evergreen forest as they responded to natural fluctuating-light regimes. Here we ...
Added: April 24, 2026
Кивалов С. Н., Курганова И. Н., Быховец С. С. et al., Soil Systems 2025 Vol. 9 No. 1 Article 9010025
Carbon dioxide (CO₂) efflux from soil (or soil respiration, SR) is one of the most important yet variable characteristics of soil. When evaluating large areas, CO₂ efflux modeling serves as a viable alternative to direct measurements. This research aims to identify site-specific differences and their effects on empirical CO₂ efflux modeling. The experimental data from ...
Added: April 24, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 25
We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP ...
Added: April 23, 2026
Kazaryan M., Lando S., Kodaneva N., Journal of Geometry and Physics 2026 No. 225 Article 105841
Weight systems associated to the Lie algebras 𝔤𝔩(N) for N = 1,2,... can be unified into auniversal one. The construction is based on an extension of the 𝔤𝔩(N) weight systems to permutations. This universal weight system takes values in the algebra of polynomials C[N;C1,C2,...] in infinitely many variables. We show that under the substitution Cm ...
Added: April 23, 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