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Регистрация возмущений в Японском море, вызванных извержением вулкана Хунга-Тонга-Хаапай в архипелаге Тонга 15.01.2022
Доклады Академии Наук. Науки о Земле. 2022. Т. 506. № 2. С. 259–264.
On January 15, 2022, a catastrophic eruption of Hunga-Tonga-Hunga-Ha’apai volcano in the
Tonga archipelago occurred, accompanied by a strong explosive wave felt at very great distances from the volcano,
as well as causing tsunami waves on nearby islands and sea level fluctuations at a distance from the volcano.
The results of analysis of the perturbations caused by this eruption recorded on the Russian coast of the
Sea of Japan are presented.
Gusein-Zade S., Campillo A., Delgado F., Mathematische Zeitschrift 2026 Vol. 314 No. 1 P. 1–22
For a subfield $\K$ of the field $\C$ of complex numbers, we consider curve and divisorial valuations on the algebra $\K[[x,y]]$ of formal power series in two variables with the coefficients in $\K$. We compute the semigroup Poincar\'e series and the classical Poincar\'e series of a (discrete, rank one) valuation on it. ...
Added: October 13, 2026
Батова О. Н., Савинецкая Л. Е., Проявка С. В. et al., Nature Conservation Research. Заповедная наука 2026 Т. 11 № 4 С. 25–39
Spermophilus suslicus is a threatened species listed in Red Data Books at all levels (from regional Red Data
Books to the IUCN Red List of Threatened Species), and it currently requires special conservation activity.
Over the past 30–50 years, its range has changed from continuous to mosaic, and its population has declined
everywhere. In 2015, in Russia experimental ...
Added: October 13, 2026
Mishuris G., Meylan M. H., Pelinovsky E., Journal of Fluid Mechanics 2026 Vol. 1045 Article A4
In this paper, we revisit the classic problem of a wave field on a sloping beach of an arbitrary angle and propose a general approach that allows the computation of regular solutions of the problem regardless of the angle. We use the Mellin-transform technique, reducing the problem to singular integral equations with fixed-point singularities of ...
Added: October 12, 2026
Gusein-Zade S., М.: МЦНМО, 2026.
Книга содержит курс лекций по дифференциальной геометрии и топологии, читавшихся автором на механико-математическом факультете МГУ в разные годы. В дополнениях приводятся некоторые сюжеты (связности в расслоениях, теорема Фробениуса, производные Ли и др.), которые были включены в курс в отдельные годы либо содержались в аналогичных курсах лекций в Независимом московском университете.
Для студентов математических и физических специальностей. ...
Added: October 12, 2026
Ari G., Liu X., Jiang L. et al., Ecological Indicators 2026 Vol. 191 Article 115592
Snow drought has become a research hotspot due to its widespread impacts on ecosystems and water resources, yet its effects on vegetation phenology remain relatively understudied. Focusing on the Mongolian Plateau, this study used the Snow Water Equivalent Index and the start of growing season (SOS) to assess the associations between snow drought and vegetation ...
Added: October 12, 2026
Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66
The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...
Added: October 9, 2026
М.: Юрайт, 2026.
The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...
Added: October 9, 2026
Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913
The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...
Added: October 9, 2026
Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124
We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...
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
Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245
This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...
Added: October 8, 2026
Люксембург А. А., УРСС, 2005.
Изучается возможность автоматизированного построения математических теорий. Рассматривается дедуктивная система, основанная на языке логики предикатов первого порядка, объектами системы являются математические выражения или формулы, которые описывают математические объекты или их свойства. В дедуктивной системе выводятся математические определения и теоремы. Для доказательства теорем используются методы автоматического доказательства. Разработан алгоритм, выводящий часть формул системы. Для решения задачи используется аппарат математической ...
Added: October 7, 2026
Aleskerov F. T., Chaika E., Дерендяев А. Б. et al., Procedia Computer Science 2026 No. 287 P. 590–595
Under conditions of dynamic socio-economic changes, effective planning and decision-making are key factors in ensuring a high quality of life for the population in territories. This paper presents a decision support system for territorial administrations for the development and implementation of sustainable development strategies, using one of the regions of the Russian Federation – the ...
Added: October 7, 2026
Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...
Added: October 6, 2026
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...
Added: October 5, 2026
Kotenko M., Zaytsev A. I., Pelinovsky E., Pure and Applied Geophysics 2026 Vol. 183 No. 6 P. 2681–2695
On July 29, 2025, a strong earthquake near Kamchatka (Russia) generated a tsunami that spread across the entire
Pacific Ocean. The tsunami had its strongest impact on the coast of the North Kuril Islands (Paramushir and Shumshu), causing significant destruction. During the first days after the earthquake, a field survey of tsunami traces on these islands was conducted in the area ...
Added: August 3, 2026
Зайцев А. И., Pelinovsky E., Костенко И. С. et al., Морской гидрофизический журнал 2026 Т. 42 № 2 С. 263–274
Purpose. The purpose of this study is to investigate the parameters of the Kamchatka tsunami induced by the earthquake of July 29 (30), 2025, off the Kamchatka Peninsula, and its manifestations on the northern coast of Shumshu Island (Northern Kuril Islands), based on field survey results and numerical simulations. Methods and Results. The results of ...
Added: May 4, 2026
Kostenko I. S., Zaytsev A. I., Pelinovsky E., Doklady Earth Sciences 2025 Vol. 525 No. 2 Article 30
This work reports on results of numerical modeling of tsunami waves on July 29, 2025, which
occurred after a powerful earthquake with a magnitude of 8.8 near the southeastern coast of Kamchatka (Russia).
These results were compared with instrumental data from the nearest DART buoys, measured wave
heights on Paramushir and Shumshu islands and mareograms in Kurilsk (Iturup) ...
Added: November 13, 2025
Talipova T., Pelinovsky E., Didenkulova E., Natural Hazards 2025 Vol. 121 No. 1 P. 661–675
An analysis of internal waves arising in a two-layer fluid during an explosive eruption of an underwater volcano is performed. Processes occurring in the near zone are parameterized by the initial source in the form of a displacement of the water column, as proposed by Le Méhaute (Mehaute, Adv Hydrosci 7:1–79, 1971). Then the linear ...
Added: January 13, 2025
Talipova T., Pelinovsky E., Ekaterina Didenkulova, Physics of Fluids 2024 Vol. 36 No. 4 Article 042110
This article discusses the problem of generating internal waves during explosive eruptions of underwater volcanoes. The importance and novelty of such studies are associated with the emerging data on the observation of internal waves during a volcanic eruption in the Tonga Archipelago in 2022 reported in Zhang and Li [“Oceanic internal waves generated by the Tongan volcano ...
Added: May 30, 2024
Klyachko M., Zaytsev A., Talipova T. et al., , in: Handbook for Management of Threats: Security and defense, resilience and optimal strategiesBook 205.: Springer, 2023. Ch. 8 P. 159–192.
The purpose of the present paper is to describe orderly the ways, mechanisms, and tool box recommended to reduce tsunami disasters ensuring sustainable sea coast safety on the examples of research carried out in Russia based on Set of Rules 292.1325800.2017 “Buildings and structures on tsunami hazardous areas. Regulations of design” (further Set of Rules ...
Added: December 29, 2023
Rybkin A., Nikolsky D., Pelinovsky E. et al., Water Waves 2021 Vol. 3 No. 1 P. 267–296
We put forward a solution to the initial boundary value (IBV) problem for the nonlinear
shallow water system in inclined channels of arbitrary cross section by means of
the generalized Carrier–Greenspan hodograph transform (Rybkin et al. in J Fluid
Mech, 748:416–432, 2014). Since the Carrier–Greenspan transform, while linearizing
the shallow water system, seriously entangles the IBV in the hodograph ...
Added: April 21, 2021