Events and Invitations

Events

Mathematical modelling in biomedicine

The conference will present the state of the art in mathematical modelling in biomedicine including cardiovascular diseases, cancer modelling, mathematical oncology. Methods of modelling and mathematical analysis of the corresponding models will also be discussed.

Seminar on nonlinear problems of PDE and mathematical physics (chief prof. A. E. Shishkov)

Localization properties of boundary regimes with infinite peaking as t tends to Tinfinity for some parabolic equations, admitting barrier technique, were studied since 60-th of 20 century by A.A. Samarskii, I.M.Sobol', S.P. Kurdyunov,V.A. Galaktionov, B.H. Gilding, M.A. Herrero, A.S.Kalashnikov, C.Cortazar, M.Elgueta and other. In 1999 A.E Shishkov proposed new approach to the study of mentioned problem,which do not use any variant of barrier technique ( any comparison theorems) and is based on some adaptation of local energy estimates method. In the series of papers of V.A.Galaktionov and A.E. Shishkov mentioned approach was adapted for obtaining of sharp localization conditions of boundary regimes with strong peaking for higher order quasi-linear parabolic PDE. In present talk we will discuss new results about sharp upper estimates of final profile of solutions of parabolic PDE near to the blow-up time of boundary data, which generate localized peaking regime.

Seminar on mathematical modeling in biology and medicine under the guidance of prof. V. Volpert

For some tasks, researchers have developed narrowly directed models that made it possible to take into account the dynamics of cells in the global immune process, but a significant proportion of the problems of mathematical modeling in immunology still cannot be investigated with similar thoroughness. To partially solve this problem, software has been developed that allows covering a wide range of tasks related to modeling the spatial dynamics of processes occurring in areas with active cell – cell interactions in two-dimensional and three-dimensional cases.

Scientific seminar on functional spaces under the guidance of V.I. Burenkov and M. L. Goldman

Generalized Hardy operators on weighted Orlicz – Lorentz spaces will be considered. Criteria for the validity of modular inequalities for these operators on weighted Orlicz – Lorentz weighted spaces will be presented.

A series of lectures on some problems in the field of partial differential equations

An elected member of the European Academy of Sciences professor Michel Chipot will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures on some problems in the field of partial differential equations.

Seminar on nonlinear problems of PDE and mathematical physics (chief A. E. Shishkov)

Localization properties of boundary regimes with infinite peaking as t tends to T<∞ for some parabolic equations, admitting barrier technique, were studied since 60-th of 20 century by A.A.Samarskii,I.M.Sobol', S.P.Kurdyunov,V.A.Galaktionov,B.H.Gilding, M.A.Herrero, A.S.Kalashnikov,,C.Cortazar,M.Elgueta and other. In 1999 A.E Shishkov proposed new approach to the study of mentioned problem, which do not use any variant of barrier technique (any comparison theorems) and is based on some adaptation of local energy estimates method. In the series of papers of V.A.Galaktionov and A.E. Shishkov mentioned approach was adapted for obtaining of sharp localization conditions of boundary regimes with strong peaking for higher order quasi-linear parabolic PDE. In present talk we will discuss new results about sharp upper estimates of final profile of solutions of parabolic PDE near to the blow-up time of boundary data, which generate localized peaking regime.

Differential equations not resolved with respect to the derivatives and their applications to mathematical economics

The talk is devoted to the qualitative study of differential equations not resolved with respect to the derivatives. One of the main features of such equations is the existence of singular points, where the standard conditions of the existence and the uniqueness of solution are violated. Equations of this type find applications in various fields of technology (for example, in electrical engineering) and in mathematical economics.

Professor of the Russian Academy of Sciences Galina Lazareva will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures on mathematical modeling of physical processes

During lectures for students and professors of the Mathematical Institute the following questions will be discussed in detail: simulation of low-temperature multicomponent plasmas in a target trap; Two-dimensional numerical simulation of tungsten melting in exposure to pulsed electron beam; simulation of seismic structure dynamics in a volcanic magma chamber.