Events

Reaction-diffusion systems with time delay will be used to describe the propagation of viral infection in cell culture. Mathematical analysis of these models will be discussed. Comparison of modelling with the experiments will be presented.

There will be done a review of results about nonnegative solutions of semi-linear equations of diffusion-nonlinear degenerate absorption, which take infinite value on some subsets or all boundary of the domain under consideration: so called very singular and large solutions. Some classical and new sharp necessary and sufficient conditions of existence and uniqueness of such solutions will be discussed.

We construct a three-parameter family of smooth solutions for a two-dimensional hyperbolic differential-difference equation considered in a half-plane and containing the sum of a differential operator and shift operators with respect to a spatial variable varying on the entire real axis.

Lymph nodes are immune information collection and transfer junctions, where immune cells are housed in sufficient numbers and varieties to develop effective immune responses. It is therefore the job of the lymphatic system to gather information, including free antigen, antigen presenting cells, cytokines and other immune cells/signals, from the periphery and deliver them to the node for further processing.

A brief review of the results on the regularity of solutions for quasilinear elliptic and parabolic equations of the second order type of p-Laplacian with a variable exponent p will be given.

In the hundred and fifty year period since their discovery, numerous extensions and generalizations of the classical Denjoy-Wolff Theorem, Schwarz and Schwarz–Pick Lemmas, Julia’s Lemma, Julia-Wolff Carathéodory Theorem have appeared in their connections with complex analysis, complex dynamical systems and geometric function theory. Ideas generated by these now classical results continue to attract attention of mathematicians to this day.

The report is intended to consider methods for studying algebraic equations and systems of nonlinear algebraic equations with many unknowns (including the method of elimination using the resultant, separation methods).

In this lecture we consider the Vlasov-Poisson system for two-component high-temperature plasma with external magnetic field in a tokamak. If a considerable part of particles reaches the boundary, this can lead to destruction of the reactor.

The presentation provides brief information: about the Southern Scientific Center of the Russian Academy of Sciences, whose employees were direct witnesses of these events, conducted research on the spot; about each of the listed events; approaches to monitoring, hazards forecasting and risk assessment; tasks to be solved.

The talk will provide an overview of recent results on the theory of volumes of hyperbolic polytopes. In the first part of the lecture, our focus will be on the application of the scheme for the proof of the Sforza formula for the volume of an arbitrary non-Euclidean tetrahedron to the calculation of the volume of a hyperbolic orthoscheme and an octahedron with 4|m-symmetry. In the second part, we will consider Sabitov's method for calculating hyperbolic volumes, based on the multidimensional Stokes formula, and the application of this method to cyclic polytopes.

Atherosclerosis is a chronic disease which involves the build up of cholesterol and fatty deposits within the inner lining of the artery. It is associated with a progressive thickening and hardening of the arterial wall that result in narrowing of the vessel lumen and restriction of blood flow to vital organs.