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Projects of young scientists of the S.M. Nikol’skii Mathematical Institute won internships of the German-Russian Interdisciplinary Scientific Center

Projects of young scientists of the S.M. Nikol’skii Mathematical Institute won internships of the German-Russian Interdisciplinary Scientific Center

The applications for RUDN young scientists’ internship have been approved by the German-Russian Interdisciplinary Research Center (G-RISC): Julia Belyaeva and Victoria Liiko will undergo an internship at Heidelberg University n.a. M.V. Lomonosov. Julia Belyaeva and Viktoria Liiko undergo an internship at the Ruprecht Karl University of Heidelberg, Amina Adhamova at the Justus Liebig University Giessen.

Yulia Belyaeva defended her PhD thesis in “Mathematics and Mechanics” and received the Ph. D. in Physical and Mathematical Sciences. The dissertation of the young scientist is devoted to mixed problems for the Vlasov-Poisson system. The Vlasov-Poisson equations in areas with boundaries describe the kinetics of charged particles in a high-temperature plasma in devices carrying out controlled thermonuclear synthesis. For example, the case of mixed problems in an infinite cylinder is a model of the evolution of the charged plasma particles density function in a plug trap.

The University of Heidelberg has developed Institute of Applied Mathematics where are analyzed nonlinear equations in partial derivatives arising in physical models, systems of functional differential equations and their applications. During her internship, Yulia Belyaeva plans to get acquainted with new methods of nonlinear analysis and solvability of boundary problems for second-order quasi-linear elliptic equations and to apply these methods to the problem of existence of stationary solutions of the Vlasov-Poisson equation system with an external magnetic field in an infinite cylinder.

Victoria Liiko, postgraduate student in the field of study “Mathematics and Mechanics” is engaged in research of nonlocal problems. In the last decades, intensive research has been carried out in this direction, caused by numerous applications to the plasma theory, the theory of diffusion processes, the theory of functional differential equations, to the theory of parabolic problems with nonlocal boundary conditions, aerospace engineering, control theory, as well as to thermoregulation problems in the description of processes in chemical reactors.

The Interdisciplinary Center for Scientific Computing at the Ruprecht Karl University of Heidelberg promotes mathematical and computational methods in science and technology. In particular, serious research on mathematical models is being conducted in biomedicine. Such research requires the study of non-local tasks, primarily non-linear ones. Victoria aims to investigate the application of methods obtained by Professor Willie Jaeger, one of the founders of the Center for Scientific Computation, and the results of her own research on non-local problems to hysteresis.

Amina Adhamova, a post-graduate student of “Mathematics and Mechanics” is devoted to difference-differential equation, in particular, control systems with aftereffects. Many tasks in the field of lagged systems describe real processes. The occurrence of delays is due to the fact that in control systems, such as aircraft, there is a feedback, and because of the delay in the feedback signal comes with a delay in the input. Thus, the model described by the lag equation system appears.

One of the fields of study of Hans-Otto Walter, professor at the University Giessen Institute of Mathematics is a state-dependent delayed differential equation. Such equations are used in situations where, for example, the object in question emits signals that are reflected by the desired landing point and then, after reflection, are perceived by the object. The calculated position of the object may be different from the true position due to its movement during the signal passage. Depending on the calculated position, the object regulates its movement. Amina plans to study the methods developed by Professor Hans-Otto Walter in the theory of functional differential equations with state delay, and use them to study control systems with delay.

Research and Innovative Activity View all
30 Dec 2020
In 2017, RUDN University scientists constructed a new explicit second-order precision difference scheme using modern computer algebra methods for 2-dimensional Navier-Stokes equations (NSE) [1]. This year, our mathematicians used a new scheme [2] to construct a numerical solution to the Cauchy problem with initial data (for t=0) as satisfying the continuity equation. Scientists managed to achieve previously unattainable accuracy of the continuity equation.
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30 Jan 2018
The conference on international arbitration, where law students from European universities simulate court proceedings and alternately defend the interests of the respondent and the orator.
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26 Dec 2022
This is the main success of the year in my scientific field: the young scientist of RUDN University Alena Devyaterikova is the owner of the medal of the Russian Academy of Education

Alena Devyaterikova is the first in our country to study the features of the development of cognitive and visual-motor functions in preschool children who have had oncology. For this research, a researcher at the Laboratory of Neuropsychology of the Research Institute for Brain Development and Higher Achievements of the Peoples’ Friendship University of Russia became a laureate of the Medal of the Russian Academy of Education “Young Scientist for Success in Science”. The award ceremony took place on November 24 at the press center of the Russia Today media group.

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26 Dec 2022
RUDN Science Festival at Expocentre

RUDN University took part in the exposition of the Moscow NAUKA 0+ Festival at the Expocentre, the largest popular science platform in 2022 in terms of the number of activities. The University was represented by the Faculty of Science, the Agrarian and Techological Institute, the Institute of Ecology, the Institute of Biochemical Technology and Nanotechnology, the Medical Institute, the Higher School of Industrial Policy and Entrepreneurship, and the university admissions team.

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26 Dec 2022
So much to see and learn! Science Festival at RUDN University

October 8, RUDN University students and 800 schoolchildren set off on a journey through the diverse world of university science. 2 halls, 11 classrooms and a co-working zone — the Science Festival was all over the main building. In addition to the traditional interactive exhibition, RUDN researchers held 26 new format events: short half-hour non-stop master classes.

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