"Фундаментальные и прикладные науки сегодня": Материалы XXXI международной научно-практической конференции. 2-3 мая 2023 г., Bengaluru, Karnataka, India

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September 24, 2026

‘Feedback and Constructive Criticism Are Essential in Our Profession

Vincent Fardeau, Associate Professor at HSE ICEF, has reached a major career milestone: he recently published his paper ‘Asymmetric Thin Markets’ in the Journal of Financial Economics, successfully passed his major academic review, and received tenure. In this interview, Vincent discusses the story behind the paper, explains the concept of asymmetric thin markets, and shares his advice for young scholars aiming to publish in top-tier journals.

September 22, 2026

Personal Interest in Doctoral Thesis Topic Most Important for Confidence in Successful Defence

A researcher at HSE University analysed data on 1,539 doctoral students from 161 Russian universities to identify which features of a thesis topic are associated with academic success and engagement. The most important factor was found to be personal interest in the research topic, which was associated with almost all key aspects of doctoral programme experience—from engaging with the academic supervisor to research activity and confidence about successfully defending the thesis. The findings have been published in Higher Education.

September 21, 2026

Researchers Develop Methodology to Assess the Quality of Legal Representation in Criminal Proceedings

Having a good defence attorney in criminal proceedings can largely determine whether a defendant retains their freedom, health and good name. Researchers at HSE University propose a method for predicting an attorney’s performance based on the outcomes of their previous cases. The methodology takes into account the severity of the charges, the complexity of the cases, and the most likely outcome, drawing on judicial statistics.

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"Фундаментальные и прикладные науки сегодня": Материалы XXXI международной научно-практической конференции. 2-3 мая 2023 г., Bengaluru, Karnataka, India

Pohti.com, 2023.

Koroleva Y., Кравцева О. К.

Переход к цилиндрической области в математической модели кровеносной системы

Кравцева О. К., Koroleva Y., В кн.: "Фундаментальные и прикладные науки сегодня": Материалы XXXI международной научно-практической конференции. 2-3 мая 2023 г., Bengaluru, Karnataka, India.: Pohti.com, 2023. С. 159–160.

Added: February 2, 2024

Research target: Mathematics Physics

Language: Russian

Text on another site

Keywords: гемодинамика

"Фундаментальные и прикладные науки сегодня": Материалы XXXI международной научно-практической конференции. 2-3 мая 2023 г., Bengaluru, Karnataka, India

Vector systems of Painlevé type

Sokolov V., Adler V. E., Journal of Geometry and Physics 2026 Vol. 227 Article 105860

The group reduction procedure is applied to vector generalizations of the NLS, mKdV, and KdV equations. The resulting ODE systems admit isomonodromic Lax representations and are multicomponent generalizations of the Painlevé equations P 1, P 2, P 34, and P 4. Some of them can be interpreted as nonautonomous deformations of well-known systems integrable in the Liouville sense, in ...

Added: September 24, 2026

ON VECTOR SCHWARZ — KdV EQUATION

Sokolov V., BALAKHNEV M. Y., Ufa Mathematical Journal 2026 Vol. 18 No. №3 P. 85–93

A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We provide them for the Schwarz — KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial found fact, no mathematical explanation of which is known yet. ...

Added: September 24, 2026

Lorentzian Principal Bundles with Compact Structure Groups and Causal Properties

Yakovlev E., Maksimov D. A., Mathematical notes 2026 Vol. 120 No. 3 P. 483–496

Smooth principal bundles whose total spaces and bases are time oriented Lorentzian manifolds and whose projections are Lorentzian submersions preserving time orientations are studied. Previously, the authors showed that the chronologicity, causality, and stable causality always lift from the base to the space of a Lorentzian bundle. For strong causality and global hyperbolicity, this holds ...

Added: September 24, 2026

Novikov equations for commuting differential operators of orders 3,4,5

Sokolov V., Shabat G. B., Tsiganov A. V., Journal of Geometry and Physics 2026 Vol. 220

We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method of compatible Poisson brackets, we find a separation of variables on a hyperelliptic curve of genus 2 for the Novikov equations ...

Added: September 24, 2026

Hadrons in N=2 supersymmetric QCD from non-Abelian string on 2D black hole

Marshakov A., Yung A., Ievlev E. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 No. 114 P. 1–22

We continue the study of non-Abelian vortex string in 4D N ¼ 2 supersymmetric QCD (SQCD) as critical superstring, and extend this analysis to UðNÞ gauge theory with arbitrary even N and Nf ¼ 2N number of quarks. We introduce a special mass deformation and show that the SQCD hadron spectrum is still given by ...

Added: September 24, 2026

From non-polynomial invariants to non-Liouvillian first integrals

Demina M.V., Nechitailo V., Analysis and Mathematical Physics 2026 Vol. 16 No. 5 P. 1–25

We present a method of finding non-Liouvillian first integrals of rational two-dimensional differential systems. The method is based on the existence of two independent invariants that satisfy a linear second-order ordinary differential equation with respect to one of the variables. We call systems with this property R-integrable. These invariants are not necessarily polynomial; they can ...

Added: September 24, 2026

An Asymptotic Version of the Parametrix Method for Markov Chains Converging to Diffusions

Bitter I., Konakov V., Mathematical notes 2026 Vol. 120 No. 4 P. 599–615

The paper provides a generalization of the local limit theorem on the convergence of inhomogeneous Markov chains to the diffusion limit for the case in which the corresponding coefficients of the process satisfy weak regularity conditions and coincide only asymptotically. In particular, the drift coefficients under consideration can be unbounded with at most linear growth, and the bounds reflect ...

Added: September 24, 2026

Iterative construction of the R-matrices in arbitrary dimensions

Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.

We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter. By analyzing the ...

Added: September 24, 2026

Room temperature microlasers based on quasi-planar geometry

Kryzhanovskaya N., Makhov I., Dragunova A., St. Petersburg Polytechnical University Journal: Physics and Mathematics 2026 Vol. 19 No. 1.1 P. 98–104

The planar microcavity structure was grown using molecular-beam epitaxy. Single-mode lasing was observed at a wavelength of 960 nm for pillars with a diameter of 15 μm. At 300 K, the lasing threshold was approximately 30 mW. Increasing the pump power to 2.7 times the threshold power resulted in a mode energy shift of approximately 1 meV. This shift ...

Added: September 23, 2026

Plasma excitations in thin-film NbN probed by terahertz spectroscopy

Andreeva S., Gavrilov A. A., Dzhikirba K. R. et al., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 134515

We examine plasma excitations with linear dispersion in a system of superconducting electrons in thin NbN disks. Using frequency-domain terahertz spectroscopy, we study the evolution of plasmons up to critical temperature Tc. The observed excitations tend to shift to the lower frequencies while temperature is increasing and the spectral features vanish at T > Tc. We study the ...

Added: September 23, 2026

Thermo-optically tuned single-mode limaçon microlaser on quantum-dots

Образцова А. А., Ivanov K., Moiseev E. et al., Journal of Physics D: Applied Physics 2026 Vol. 59 No. 30 P. 305103

We demonstrate a thermo-optically tunable microlaser based on an InGaAs/GaAs quantum-dot (QD) active region employing a deformed limaçon-shaped cavity. The asymmetric geometry effectively lifts the degeneracy of high-Q whispering-gallery modes, enabling single-mode lasing. A side-mode suppression ratio exceeds 25 dB over a wide current range. Under continuous-wave electrical pumping, the device achieves a peak output power ...

Added: September 23, 2026

Exact screening constraints for theories of inhomogeneous electrolytes: Generalized Stillinger–Lovett relations and a nonlinear Ward hierarchy

Budkov Y., Journal of Chemical Physics 2026 Vol. 165 No. 12 Article 124105

Exact theories of electrolyte structure must satisfy the nonlocal constraints imposed by electrostatic screening, yet these constraints are most commonly formulated only for homogeneous bulk systems and at the level of two-point correlations. Here, we develop a unified field-theoretic framework that extends them to general inhomogeneous ionic fluids and nonlinear charge correlations. Using a standard ...

Added: September 22, 2026

Особенности взаимодействия мощного импульсного лазерного излучения с материалами вакуумной камеры термоядерного реактора

Боровицкая И. В., Пименов В. Н., Коршунов С. Н. et al., Перспективные материалы 2026 № 10 С. 37–54

Проведено сравнение, обобщение и систематизация механизмов эрозии и разрушения поверхности малоактивируемых материалов, перспективных для использования в качестве материалов вакуумной камеры термоядерных реакторов: ванадия, его сплава V – 10 Ti – 6 Cr – 0,05 Zr – 0,1 Si и вольфрама при последовательном воздействии на них ионных и тепловых потоков. Тепловые потоки имитировали с помощью мощного импульсного лазерного излучения (ЛИ), создаваемого ...

Added: September 22, 2026

DOUBLE-RESONANCE RESPONSE OF A SUPERCONDUCTING QUANTUM METAMATERIAL: MANIFESTATION OF NONCLASSICAL STATES OF PHOTONS

Iontsev M.A., Mukhin S. I., Fistul M. V., Physical Review B: Condensed Matter and Materials Physics 2016 Vol. 94 No. 17 P. 174–510

We report a theoretical study of the ac response of superconducting quantum metamaterials (SQMs), i.e., an array of qubits (two-level systems) embedded in a low-dissipative resonator. By making use of a particular example of a SQM, namely the array of charge qubits capacitively coupled to the resonator, we obtain a second-order phase transition between an ...

Added: September 22, 2026

Анатомо-функциональное обоснование эффективности шунтирования позвоночной артерии сосудом из системы наружной сонной артерии

Moshkin A., Гавриленко А. В., Халилов М. А. et al., Клиническая медицина 2025 Т. 103 № 10-11 С. 714–719

Aim. To evaluate the anatomical and functional feasibility and adequacy of performing intersystem anastomosis during bypass surgery of the vertebral artery with an vessel from the external carotid artery system. Material and methods. On the basis of ultrasound Dopplerography of 1,074 people, the dimensions and hemodynamic parameters of the external carotid and vertebral arteries, the ...

Added: February 24, 2026

Переход к цилиндрической области в математической модели кровеносной системы

Кравцева О. К., Koroleva Y., В кн.: "Фундаментальные и прикладные науки сегодня": Материалы XXXI международной научно-практической конференции. 2-3 мая 2023 г., Bengaluru, Karnataka, India.: Pohti.com, 2023. С. 159–160.

Added: February 2, 2024

Об исследовании математической модели кровеносной системы

Koroleva Y., Кравцева О. К., Романова Т. В., В кн.: Высшая школа: научные исследования. Материалы Межвузовского международного конгресса (г. Москва, 21 июля 2023 г.). Том 2Т. 2.: Инфинити, 2023. С. 147–154.

В статье дается обзор существующих моделей кровеносной системы. Рассматривается нестационарная система Хершела-Бакли, моделирующая течение крови как двухфазный поток. Для удобства анализа задача с границами, зависящими от времени, переводится с помощью специальной замены в цилиндрическую область. ...

Added: February 2, 2024

Высшая школа: научные исследования. Материалы Межвузовского международного конгресса (г. Москва, 21 июля 2023 г.). Том 2

Инфинити, 2023.

Сборник составлен по итогам работы Межвузовского научного конгресса. Включает в себя доклады российских и зарубежных представителей высшей научной школы, в которых рассматриваются современные научные тенденции, новые научные и прикладные решения в различных областях науки, практика применения результатов научных разработок. Служит инструментом обмена опыта научных работников, апробации исследований путем их публичного обсуждения. Предназначено для научных работников, ...

Added: February 2, 2024

Системы Кессона и Хершела – Бакли

Koroleva Y., Королев А. В., Обозрение прикладной и промышленной математики 2019 Т. 2 № 26 С. 166–166

Рассматриваемая задача носит прикладной характер, относясь одновременно к таким разделам как гемодинамика и математическая физика ...

Added: September 26, 2021

МОДЕЛЬ ХЕРШЕЛА-БАКЛИ ТЕЧЕНИЯ КРОВИ ПО СОСУДАМ С ШЕРОХОВАТЫМИ СТЕНКАМИ

Koroleva Y., Королев А. В., Colloquium-Journal 2019 Т. 39 № 15 С. 19–23

Рассматривается модель Хершела-Бакли, описывающая течение крови по капиллярам со сложной геометрической структурой, а именно в присутствии шероховатостей. Для стационарного течения получены точные формулы и априорные оценки на соотношение скорости, вязкости и напряжения. Сравнивается поведение потока при различных предельных соотношениях между диаметром капилляров и периодом шероховатости. ...

Added: September 26, 2021