S.M. Nikol’skii Mathematical Institute
S.M. Nikol’skii Mathematical Institute
S.M. Nikol’skii Mathematical Institute conducts research in the field of functional analysis, theory of functional spaces, ordinary differential equations, partial differential equations, nonlinear analysis, spectral theory of differential operators.
Director
Alexander Skubachevskii
Contacts
News All news
Science
02 Mar
Highest recognition of scientific merits to the university: congratulations to the winners of RUDN University prize in the field of science and innovation

February 15, RUDN University annual award in the field of science and innovation was presented. The highest award of the university was received by associate professor of the Faculty of Science Fyodor Zubkov and the team of authors of the Law Institute: Aslan Abashidze, Alexander Solntsev and Denis Gugunsky.

Science
23 Feb
Start of the Year of Science and Technology: RUDN is ready for the year of science

Mathematics, chemistry, physics, medicine and modern languages - there are five priority areas of development at RUDN University along the path of a research university. RUDN University has a developed laboratory base, it encourages publication activity, forms teams of scientists and educates talented young researchers.

Science
18 Feb
RUDN University physicists analyzed the role of gravity in elementary particles formation

Gravity might play a bigger role in the formation of elementary particles than scientists used to believe. A team of physicists from RUDN University obtained some solutions of semi-classical models that describe particle-like waves. They also calculated the ratio between the gravitational interaction of particles and the interaction of their charges.

Research projects All projects
Construction of spherically symmetric stationary solutions of the Vlasov-Poisson system of equations describing the stationary distribution of particles in a gravitational field. Obtaining sufficient conditions for confining high-temperature plasma in a “mirror-trap” fusion reactor.

Project leader

Alexander Skubachevskii

In the problem of describing the asymptotic properties of generalized solutions of quasilinear parabolic equations in a neighborhood of the time of the singular exacerbation of the boundary regime (i.e. boundary data), at the present time, it were found limiting restrictions on the intensity of the exacerbation leading to solutions with a non zero but finite measure of the blow- up, i.e. the so-called S-modes are described.

Project leader

Andrey Shishkov

Laboratories and centers All laboratories

Scientific center of nonlinear problems of mathematical physics

The center is a structural subdivision of the S.M. Nikol’skii Mathematical Institute specializes in the field of mathematical physics.

TypeCenter

Interdisciplinary center for Mathematical modelling in Biomedicine

Mathematical modelling in biomedicine is one of rapidly developing scientific disciplines motivated by the fundamental research and by the applications to public health.

TypeCenter

Partners All partners
Events All events
2021
4 Mar
Seminar “Bistable nonlocal reaction-diffusion equation. Part II”
We study the effects of nonlocal control of front propagation in excitable media. As a generic example we consider Nagumo equation, which is a paradigmatic model of a bistable media in which one can observe front propagation.
2021
2 Mar
Seminar “Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition”
We prove the global existence and blow-up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition.
2021
2 Mar
Scientific seminar “On the classification of problems with concentrated masses”
We consider problems in multilevel cascade connections with a large number of light, medium and heavy concentrated masses. We give a complete classification of the limiting cases.