Events

We study the Cauchy problem to scalar conservation law with power flux function and unbounded initial data. We will focus on unbounded initial data of exponential type. 

On the experimental stand Beam of Electrons for materials Test Applications (BETA) created in the INP SB RAS, the results of heating the tungsten plate by the action of a high-speed electron beam on it were obtained.

Modern blood flow models can be used to estimate a variety of important diagnostic indices. One of the problems that hinders their applicability is parameter identification.

Theory of very singular (i.e. more singular then corresponding fundamental) nonnegative solutions is actively developing since pioneering work of H.Brezis, L.A.Peletier, D.Terman (1986) field of qualitative theory of nonlinear elliptic and parabolic equations of diffusion-absorption type.

We will talk about methods for obtaining estimates for the Green's function and the fundamental solution for the convection-diffusion equation with a uniformly elliptic leading part in the space R^n, n> 2.

A three-dimensional problem of viscous fluid filtration in domain containing homogeneous porous medium is considered.

We introduce and study the class of Hausdorff-Berezin operators on the unit disc in p-Lebesgue spaces with Haar measure.

The classical Sobolev inequality is considered on non-compact, complete, connected Riemannian manifolds. The geometry of a manifold is described in terms of isoperimetric inequalities.

To study random walks in a Hilbert space we endowed the last one with a shift invariant measure. According to Weyl's theorem, the Lebesgue measure does not exist in an infinite-dimensional Hilbert space. Thus a measure is considered as a non-negative additive function of a set defined on a ring of subsets of a Hilbert space.

We study some nonclassical problems for operator differential equations in abstract spaces.

We study the initial-boundary value problem for the generalized Kawahara equation.