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
20 Oct
RUDN chemist created an efficient catalyst for organic sulfides synthesis

A RUDN chemist has obtained a new compound — a dumbbell-shaped phosphate-bridged molybdenum cluster. The cluster accelerates the reaction of the formation of sulfides from oxides and can be used in pharmaceutical and cosmetic manufacturing.

Science
19 Oct
RUDN University mathematicians created a method for study the properties of porous materials

Mathematicians from RUDN University have studied the properties of compositional operators in spaces with mixed Lebesgue norms. It will help describe the diffusion of liquids in materials with cracks and in porous materials. Such spaces are also useful for obtaining estimates for solutions to the Navier-Stokes equation.

Science
09 Oct
RUDN University biophysicist modelled the behaviour of cell microtubule elements to chemically affect their growth and decay

A biophysicist from RUDN University and his colleagues modelled the molecular dynamics of growth of microtubules, the most important elements of cell activity. The researchers have built a model for the interaction of microtubule subunits, which takes into account their internal and external connections. The results will help form a more complete model of the dynamic instability of microtubules. It will allow choosing chemical agents for the treatment of certain diseases, including neoplasms and neurodegenerative pathologies.

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
2020
27 Nov
Seminar “On the problem of maximal extension for GKM-graphs”
In 1998, Goresky, Kottwitz, MacPherson introduced a class of $(S^1)^k$-actions on smooth manifolds with degenerate odd-dimensional cohomologies. They calculated the corresponding ring of equivariant cohomologies in terms of so-called GKM-graphs. Roughly speaking, a GKM-graph of type $(n,k)$ is an $n$-valent graph with labels from the lattice $\Z^k$ on its edges.
2020
24 Nov
Seminar “Nonexistence of solutions for the Dirichlet problem with fractional Laplacian in a half-space”
This talk will contain a review of some approaches and results of W. Chen, R. Yang, and their collaborators concerning nonexistence of solutions for a nonlinear Dirichlet problem with a fractional power of the Laplace operator in a half-space that belong certain functional classes depending on the growth order of the nonlinear term.
2020
24 Nov
Scientific seminar “Integro-differential equations of convolution type with power nonlinearity in cones”
By the method of weighted metrics, in various cones of the space of continuous functions on the positive semiaxis, we study integro-differential equations of Volterra type of various orders with difference kernels and power nonlinearity.