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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.
Abrashkin A. A., Discrete and Continuous Dynamical Systems 2019 Vol. 39 No. 8 P. 4443-4453
A class of non-stationary surface gravity waves propagating in the
zonal direction in the equatorial region is described in the f -plane approx
imation. These waves are described by exact solutions of the equations of
hydrodynamics in Lagrangian formulation and are generalizations of Gerstner
waves. The wave shape and non-uniform pressure distribution on a free sur
face depend on two ...
Added: June 19, 2019
A. A. Abrashkin, Monatshefte fur Mathematik 2022 Vol. 199 No. 4 P. 717-732
Propagation of periodic stationaryweakly vortical gravitationalwaves on the freewater surface is considered. Similar wave motion was studied by Gouyon (Ann de la Fac des Sci de l’Université de Toulouse Sér 4(22):1–55, 1958) in linear and quadratic approximations in small parameter of the wave’s steepness ε for the deep water conditions.
In this paper this result is considered for the ...
Added: October 13, 2022
Abrashkin A. A., Pelinovsky E., Physics-Uspekhi 2022 Vol. 65 P. 453-467
To mark 220 years since the appearance of Gerstner's paper that proposed an exact solution to the hydrodynamic
equations, an overview of exact solutions for water waves is given, each of which is a generalization of the Gerstner wave. Additional factors are coastal geometry, fluid rotation, varying pressure on the free surface, stratification, fluid compressibility, and background flows. Waves on ...
Added: October 13, 2022
Abrashkin A. A., Oshmarina O. E., Communications in Nonlinear Science and Numerical Simulation 2016 Vol. 34 P. 66-76
The process of rogue wave formation on deep water is considered. A wave of extreme amplitude is born against the background of uniform waves (Gerstner waves) under the action of external pressure on free surface. The pressure distribution has a form of a quasi-stationary “pit”. The fluid motion is supposed to be a vortex one ...
Added: November 3, 2015
Abrashkin A. A., Deep-Sea Research Part II: Topical Studies in Oceanography 2019 Vol. 160 P. 3-6
Three Lagrangian invariants are shown to exist for flows in the equatorial region in the β - plane approximation.
They extend the Cauchy invariants to a non-rotating fluid. The relationship between these generalized invariants
and the results following from Kelvin's and Ertel's theorems is ascertained. Explicit expressions of the invariants
for equatorially trapped waves and equatorial Gerstner waves ...
Added: April 2, 2019
Abrashkin A. A., Pelinovsky E., Journal of Physics A: Mathematical and Theoretical 2021 Vol. 54 No. 39 Article 395701
To study stationary periodic weakly vortical waves on water (the Gouyon waves), the method of the modified Lagrangian variables is suggested. The wave vorticity Ω is specified as a series in the small steepness parameter ε in
the form: Ω =\sum( ε^n · Ω_n (b)), where Ω_n are arbitrary functions of the vertical Lagrangian coordinate b. Earlier Gouyon (1958) studied ...
Added: October 5, 2021
Abrashkin A. A., Chaos, Solitons and Fractals 2019 Vol. 118 P. 152-158
We present an analytical description of the class of unsteady vortex surface waves generated by non- uniformly distributed, time-harmonic pressure. The fluid motion is described by an exact solution of the equations of hydrodynamics generalizing the Gerstner solution. The trajectories of the fluid particles are circumferences. The particles on a free surface rotate around circumferences ...
Added: December 17, 2018
Abrashkin A. A., Yakubovich E. I., Radiophysics and Quantum Electronics 2016 Vol. 58 No. 11 P. 852-857
We show that the discrete frequency spectrum of a plane hydrodynamic flow of ideal incompressible liquid with localized trajectories of the liquid particles can contain only one, two, or an infinite number of harmonics. ...
Added: November 17, 2016
Abrashkin A. A., Oshmarina O. E., Physics Letters A 2014 Vol. 378 P. 2866-2871
A vortical model of breather overturning on deep water is proposed. The action of wind is simulated by nonuniform pressure on the free surface. The fluid motion is described by an exact solution of 2D hydrodynamic equations for an inviscid fluid in Lagrangian variables. Fluid particles rotate in circles of different radii. Formation of contraflexure ...
Added: September 16, 2014
Abrashkin A. A., Pelinovsky E., Izvestia, Atmospheric and Oceanic Physic 2018 Vol. 54 No. 1 P. 101-105
A nonlinear Schrцdinger equation (NSE) describing packets of weakly nonlinear waves in an inhomogeneously
vortical infinitely deep fluid has been derived. The vorticity is assumed to be an arbitrary function
of Lagrangian coordinates and quadratic in the small parameter proportional to the wave steepness. It is
shown that the modulational instability criteria for the weakly vortical waves and ...
Added: October 3, 2018
Abrashkin A. A., Pelinovsky E., Physics-Uspekhi 2018 Vol. 61 P. 307-312
We discuss the properties of two-dimensional, non
linear, potential, and vortex waves on the surface of an ideal
liquid of infinite depth. It is shown that in the quadratic order in
the amplitude, the vorticity of the Gerstner wave is equal in
magnitude to and different in sign from that of the Stokes drift
current in a surface layer. This ...
Added: October 3, 2018
Abrashkin A. A., Pelinovsky E., Известия высших учебных заведений. Радиофизика 2023 Т. LXVI № 2-3 С. 130-144
By tradition, water waves are studied under the assumption of their potentiality. The vorticity is introduced by shear currents which are ubiquitous in the ocean. It is also generated in near-surface layer as a result of wind action. When these factors are taken into account, the models developed for pitential waves require refinement and generalization. ...
Added: September 12, 2023
O. Kurkina, T. Talipova, E. Pelinovsky et al., Journal of Coastal Research 2011 No. SI64 P. 2042-2047
The geographical and seasonal distributions of kinematic and nonlinear parametersof long internal waves obtained on a base of GDEM climatology in the Baltic Sea region are examined. The considered parameters (phase speed of long internal wave, dispersion, quadratic and cubicnonlinearity parameters) of the weakly-nonlinear Korteweg-de Vries-type models (in particular, Gardner model), can be used for ...
Added: October 11, 2012
Kurkina O. E., Talipova T., Natural Hazards and Earth System Sciences 2011 Vol. 11 No. 3 P. 981-986
The generation of huge amplitude internal waves by the barotropic tide in the Barents Sea at high latitudes is examined using the numerical model of the Euler 2D equations for incompressible stratified fluid. The considered area is located between the Spitsbergen (Svalbard) Island and the Franz-VictoriaTrough as cross-section of 350 km length. There are two ...
Added: November 23, 2012
Filimonov D., Голубев С. С., Кудеяров Ю. А. et al., Законодательная и прикладная метрология 2013 Т. 124 № 1 С. 10-15
Рассмотрены методы, основанные на вычислении условных вероятностей, с помощью которых оцениваются вероятности ошибок 1-го и 2-го рода при иммунохроматографическом анализе. Приводятся три метода оценки таких ошибок: аналитический, численный и метод косвенных измерений. В предположении, что имеют дело только со случайной составляющей погрешности измерений, получен график зависимости вероятности ложного срабатывания от концентрации анализируемого вещества. ...
Added: November 14, 2013
Valba O. V., Nechaev S., Tamm M., Журнал экспериментальной и теоретической физики 2012 Т. 141 С. 399
В данной работе предлагается новый статистический подход для решения задачи сравнения (``выравнивания'') двух последовательностей РНК. Данная проблема рассматривается с точки зрения связывания двух взаимодействующих полимеров, имеющих сложную иерархическую кактусообразную структуру характерную для молекул РНК. Выравнивание двух последовательностей характерезуется числом совпадающих и несовпадающих букв, а также числом пропусков (\glqq делеций\grqq). Для каждого выравнивания определяется \glqq весовая ...
Added: November 19, 2013
Каз. : СМУиС, 2013
Вторая Всероссийская молодежная научная Интернет-конференция «Грани науки» проводится Казанским (Приволжским) федеральным университетом, Советом молодых ученых и специалистов города Казани (http://kznscience.ru) и Комитетом по делам детей и молодежи Исполкома Казани. ...
Added: July 7, 2016
Казарян М., Yakushkina T., Саакян Д., Компьютерные исследования и моделирование 2015 Т. 7 № 6 С. 1269-1278
Crow Kimura model is one an of the famous models of population genetics. We consider the Crow-Kimura
model of evolutionary dynamics on the two dimensional fitness landscape with a single peak. We deduce exact
solution for the dynamics. ...
Added: March 18, 2015
М. : Энциклопедия, Инфра-М, 2017
The New Russian Encyclopedia is a fundamental reference publication in 18 volumes that characterizes nature, population, economy, history, science, art, technology and other important aspects. Contains about 60,000 articles, about 30,000 biographies, about 15,000 color illustrations, maps, charts, diagrams, tables. Leaves since 2003. ...
Added: October 31, 2018
Чугунин Д. В., Chernyshov A., Моисеенко И. Л. et al., Геомагнетизм и аэрономия 2020 Т. 60 № 5 С. 566-575
A method is proposed for the study of the height–time characteristics of physical processes in the
region of auroral electron acceleration. Auroral kilometer radiation, which is generated at the local electron
gyrofrequency, can be used to obtain the height distribution of the properties of a radiation source in the auroral
region, and long-term satellite measurements of the auroral ...
Added: December 17, 2020
М. : Энциклопедия, Инфра-М, 2018
The New Russian Encyclopedia is a fundamental reference publication in 18 volumes that characterizes nature, population, economy, history, science, art, technology and other important aspects. Contains about 60,000 articles, about 30,000 biographies, about 15,000 color illustrations, maps, charts, diagrams, tables. Leaves since 2003. ...
Added: October 28, 2018
Институт проблем технологии микроэлектроники и особочистых материалов РАН, 2014
В докладах конференции рассмотрены проблемы рентгеновской кристаллооптики, многослойной оптики для рентгеновского и экстремального ультрафиолетового диапазона, технологии изготовления элементов рентгеновской оптики, применения рентгеновской оптики для исследования микро- и наноструктур, рентгеновской литографии, рентгеновской микроскопии и томографии, новых методы исследования микро- и наноструктур с использованием синхротронных и лабораторных источников рентгеновского излучения. ...
Added: November 30, 2015
Долгопрудный : МФТИ, 2021
Труды 63-й Всероссийской научной конференции МФТИ. Включены результаты оригинальных исследований студентов, аспирантов, преподавателей и научных сотрудников МФТИ и дружественных учебных и научных организаций. Статьи представляют интерес для специалистов, работающих в области радиотехники и компьютерных технологий ...
Added: October 29, 2021
Nicol R., Chapman S., Vertes P. et al., Journal of Neurophysiology (США) 2012 Vol. 107 No. 5 P. 1421-1430
How do human brain networks react to dynamic changes in the sensory environment? We measured rapid changes in brain network organization in response to brief, discrete, salient auditory stimuli. We estimated network topology and distance parameters in the immediate central response period, <1 s following auditory presentation of standard tones interspersed with occasional deviant tones ...
Added: October 23, 2014