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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.

International scientific cooperation View all
03 Nov 2017
The main goal of the RUDN University and UNISDR Office for Northeast Asia and Global Education and Training Institute for Disaster Risk Reduction at Incheon (UNISDR ONEA-GETI) cooperation is to obtain knowledge about disaster risk reduction and international experience in this area for creating training courses for basic and additional professional education in RUDN
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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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12 Oct
RUDN Student Scientific Society Declared the Best New SSS 2021 in Moscow and Moscow Region

Student Scientific Society (SSS) of Peoples’ Friendship University of Russia (RUDN) won a special Best New SSS of Moscow and Moscow Region award at a contest held by the regional Association of Students and Student Organizations.

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12 Oct
RUDN University students Alexander Kirilenko and Alexander Korotkov bronze medalists of the International Olympiad in Mathematics

Alexander Kirilenko and Alexander Korotkov, third-year students of the Faculty of Physics, Mathematics and Natural Sciences of the Mathematics direction, took the third place in the individual competition at the International Mathematics Olympiad among students.

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12 Oct
What is a controlled system with an aftereffect and what does it have to do with airplanes?

The research of Amina Adhamova, a third-year graduate student in the field of “Mathematics and Mechanics” got into the competition of the best projects of fundamental scientific researches of young scientists. The work of RUDN postgraduate student is devoted to differential-difference equations, in particular to control systems with aftereffects. The object of the research is the problem of settling of a control system with aftereffects.

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