Scientific seminar on functional analysis and its applications under the guidance of professors: A.V. Arutyunov, V.I. Burenkov and M.L. Goldman
The talk will give integral inequalities for entire functions of exponential type, give a definition of Nikol'skii-Besov spaces using entire functions of exponen-tial type, and provide a proof of the embedding theorem and the trace theorem.
Seminar “Forecasting epidemics of acute respiratory infections in Russian cities considering the population structure and the immunity levels”
The talk will address short-term forecasting of severe ARI dynamics in Russia via compartmental and multiagent models, with influenza and COVID-19 as case studies, and the connection between the immunity formation and the consequent incidence waves of severe acute respiratory infections.
Scientific seminar on spectral theory «Spectral theory of differential and difference operators»
If the coefficients of a linear system of differential equations asymptotically tend to constant, then sometimes their solution can be characterized.
Seminar “Asymptotic behavior of solutions for the Chipot-Weissler equation with free boundary”
In this talk, we consider the free boundary problem for the Chipot-Weissler equation. It is well known that global existence or blowup of solutions of nonlinear parabolic equations depends on which one dominating the model, the source or absorption, and on the absorption coefficient for the balance case of them. The aim of our investigation was to study the influence of exponents of source and absorption, initial data and free boundary on the asymptotic behavior of solutions.
Scientific seminar “On two-stream instability of states of dynamic equilibrium of a Vlasov-Poisson plasma”
We study the problem of linear stability of one-dimensional states of dynamic equilibrium of an infinite collisionless electrically neutral plasma in the electrostatic approximation - Vlasov-Poisson plasma.
Seminar “Boundary regularity for solutions of second-order elliptic equations with partial Muckenhoupt weight”
In this talk we will present our recent results on the boundary regularity for solutions of second-order elliptic equations with partial Muckenhoupt weight at a boundary point on the interface.
Seminar “An axiomatic approach to human-body functional biodynamics”
The axiomatic theory kernel for further translation into models of specific complex-systems dynamics in health and medicine rests upon a separation of functional organization from material realization, and casts dynamic features of physiological function into mathematical equations from a phenomenological perspective.