Seminar “On Locally Bounded Solutions To One-dimensional Conservation Laws”
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.
Scientific seminar “Simulation of erosion of fusion reactor wall material under high-power pulsed plasma flow”
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.
Seminar “Blood flow model parameters estimation with the help of synthetic database”
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.
Seminar “Propagation of strong singularities in nonlinear diffusion-absorption type equations”
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.
Scientific “Estimates of the fundamental solution for the stationary convection-diffusion equation”
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.
Seminar “Filtration of viscous fluid in homogeneous domain with mixed boundary condition”
A three-dimensional problem of viscous fluid filtration in domain containing homogeneous porous medium is considered.
Scientific seminar “Class of Hausdorff - Berezin operators on the unit disk”
We introduce and study the class of Hausdorff-Berezin operators on the unit disc in p-Lebesgue spaces with Haar measure.
Seminar “Sobolev inequality on Riemannian manifolds”
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.
Seminar “Sobolev spaces and spaces of smooth functions on a Hilbert space equipped with a translationally invariant measure”
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.