?
Tsunami on July 29 (30), 2025 in the Kamchatka-Kuril Zone: Instrumental Observation and Modeling
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) and Hanasaki (Hokkaido).
The comparison of calculated and instrumental data is very good.
Смирнов С. В., Миллионщиков Д. В., Уфимский математический журнал 2021 Т. 13 № 2 С. 44–73
В данной работе изучаются характеристические алгебры для систем экспоненциального типа, соответствующих вырожденным матрицам Картана. Эти системы обобщают хорошо известные в теории интегрируемых систем гиперболические уравнения синус-Гордон и Цицейки. Для таких систем, соответствующих матрицам Картана ранга 2, характеристические алгебры описаны явно в терминах образующих и соотношений, и доказано, что они имеют линейный рост. Исследуется связь между ...
Added: September 11, 2026
Смирнов С. В., Glasgow Mathematical Journal 2026 Vol. 68 No. 2 P. 299–316
In the second half of the 19th century Darboux obtained determinant formulae that provide the general solution for a linear hyperbolic second order PDE with finite Laplace series. These formulae played an important role in his study of the theory of surfaces and, in particular, in the theory of conjugate nets. During the last three ...
Added: September 11, 2026
Смирнов С. В., Journal of Physics A: Mathematical and Theoretical 2023 Vol. 56 No. 26 Article 265204
There are different methods of discretizing integrable systems. We consider semi-discrete analog of two-dimensional Toda lattices associated to the Cartan matrices of simple Lie algebras that was proposed by Habibullin in 2011. This discretization is based on the notion of Darboux integrability. Generalized Toda lattices are known to be Darboux integrable in the continuous case ...
Added: September 11, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 132–138
In schemes S for placing r particles in n distinguishable cells, their placement in selected m cells – schemes S∗ is studied, for which the analysis is carried out by a new enumerative method (EM) in extended areas of enumerative combinatorics: finding the number of outcomes and, based on the construction of a model of ...
Added: September 11, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 139–147
The class of particle cell arrangements under consideration is characterized by the introduction of an upper limit on the filling levels of the cells, which must be achieved in at least one cell of each outcome of each arrangement. The circuits are distinguished by the paired qualities of their constituent elements (cells and particles) according ...
Added: September 11, 2026
Medvedev A., Dronin N., Telnova N., Земля и Вселенная 2026 № 3(369) С. 48–65
Взрывной рост объема данных несколько последних десятилетий ставит вопрос перехода от количества к качеству их использования, ведь не всегда они доходят до конечного пользователя и используются на региональном и локальном уровне. Данные дистанционного зондирования Земли из космоса (ДЗЗ), основанные на длинных временных сериях, и результаты их обработки уже давно стали глобальными цифровыми продуктами. Когда речь ...
Added: September 11, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми
свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной
важностью. Исследованы его свойства. Указаны аналитические правила,
позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений
неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые
решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density.
We generalize the bound to polynomials in several variables and almost periodic functions.
We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Kelbert M., Statistics 2026 Vol. 60
We present variational representations for the weighted divergencies
and exponential error function, and discuss implications for the
statistical inference and entropic optimal transport. ...
Added: September 7, 2026
Kucheryavyy P., Математические заметки 2026 Т. 2026 № 120 С. 380–401
В работе изучаются перестановки, возникающие при упорядочивании по возрастанию дробных долей произведений элементов фиксированной целочисленной последовательности на вещественный параметр. Исследуется количество различных перестановок, которые можно получить таким образом при изменении этого параметра от нуля до единицы. ...
Added: September 7, 2026
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 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
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
Зайцев А. И., Pelinovsky E., Долгих Г. И. et al., 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 ...
Added: November 13, 2022