Events

Topic: On a Sobolev problem with a nonlocal boundary condition.

Topic: Degenerate Differential Problems With Fractional Derivatives in Banach spaces.

Topic: Application of a model of cardiac muscle to the examination of the influence of the myocardium contractile and regulatory properties on the heart performance

Topic: The application of Schauder's theorem to the problem of invariant subspaces of linear operators in a Banach space.

We start with defining a C*-algebra obtained as a closure of the set of infinite matrices such that each row and each column has at most a fixed number of nonzero elements.  Then we discuss its properties and consider how it embedds in the general picture of  Roe algebras of discrete metric spaces. Based on this example, we show, how to understand correctly Roe algebras for spaces without bounded geometry assumption.

Angelo Favini, Professor at University of Bologna, will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures оn degenerate differential equations.

Various chemical and biological systems involve autocatalytic steps and positive feedbacks which in spatial conditions can give them properties of active media, in particular autowave properties. The main autowave characteristics are velocity and amplitude. This report considers the autowave velocity-amplitude relation in the general mathematical model of active reactant formation from precursor with cubic kinetics followed by a linear inhibition/death step – the Gray-Scott model – in isolated conditions. The way to derive the explicit velocity-amplitude relation is proposed. This approach may be useful for investigation of more complex active media systems in biochemistry, combustion, and disease control.

Hitoshi Ishii, Professor at Waseda University, will visit the S.M. Nikol’skii Mathematical Institute with a series of lectures on partial differential equations.

Topic: Polyhedrons. Simplicial complex. Homology.

Title:  Localized and non-localized regimes with singular peaking for quasi-linear parabolic PDE   (continuation of the talk from March 19)

The report is devoted to dynamic market models with continuous time. Namely, we focus on the models for which the existence of equilibrium points is reduced to the resolvability of implicit differential equations: Evans model, Evans-Samuelson model, etc. Sufficient conditions for the existence of the equilibrium price function in such models are presented.

Topic: On the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions.

Topic: On the elliptic equations with semi-linear source term