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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.

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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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15 Jul
Science, Technology, and Engineering: The conference "Information and Telecommunication Technologies and Mathematical Modeling of High-Tech Systems" was held at the RUDN

The annual conference “Information and Telecommunication Technologies and Mathematical Modeling of High-Tech Systems” was held at RUDN. The conference brought together representatives of Russian and Foreign universities, academic and industry research institutes, research centers, enterprises, and commercial companies. The conference was organized by the Research Center of Computational Methods in Applied Mathematics (headed by Yu. A. Blinkov) of the Institute of Applied Mathematics and Telecommunications of the RUDN.

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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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