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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.

Main Publications View all
15 Nov 2017
RUDN University scientists publish results of their scientific researches in highly-recognized in whole world and indexed in international databases journals (Web of Science, Scopus ect.). That, of course, corresponds to the high status of the University and its international recognition. Publications of June-September 2017 ( In Journals of categories Q1-Q3)
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Visiting Professors View all
03 Nov 2017
Michele Pagano is a graduate of the University of Pisa, a leading scientist, the author of more than 200 publications in international journals, and a participant in many international research projects
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31 Mar
Scientific initiatives of RUDN students: what the winners of the "Project Start" competition told about

The winners of five competitions of the best research works of students (R&D) were awarded at the RUDN. “Project Start: Our Scientific Initiative” is the main track of the R&D competition. The most applications were submitted for it — 128 works, of which 72 received the highest marks.

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31 Mar
The winners of the competition "Project Start: Scientific Agenda by Host Countries" spoke about their research

The competitive track “Project Start: Research Agenda by Host Countries” is aimed at improving the efficiency of scientific schools focused on applied research on topics of RUDN host countries.

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31 Mar
Joint start — RUDN University announced the results of the student research paper contest

On February 14, at a meeting of the RUDN University Academic Council, the winners of the “Joint Start: Let’s Do Science Together” contest were awarded. The main goal of the competition is to support young scientists, as well as student youth associations in conducting scientific research. All projects submitted for participation in the competition are practice-oriented and have the potential for further commercialization.

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