Seminar “Propagation of strong singularities in nonlinear diffusion-absorption type equations”
Seminar “Propagation of strong singularities in nonlinear diffusion-absorption type equations”
The event passed
20 Oct
Location
Online
About the event

20 October, at 19:00 MSK

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.

In this talk we will discuss some new aspects of this theory, connected with the degeneration of nonlinear absorption term on some manifolds of the domain under consideration. We have obtained some sharp sufficient and necessary (even criteria for some manifolds) conditions on the character of mentioned degeneration, guaranteeing propagation or non-propagation of strong singularities of solutions along mentioned manifolds and, as a consequence, existence of very singular solutions with strong point singularity. These conditions lead to the description of different complicated singular solutions: "razor blade" solutions, large solutions and other.

Speaker

Professor A.E. Shishkov ( Nikolskii Mathematical Institute of RUDN University, Moscow, Russian Federation). 

Title of the talk: Propagation of strong singularities in nonlinear diffusion-absorption type equations.

Online

Related eventsAll events
2020
3 Dec
Seminar “Mathematical model of emergence, competition, and coexistence of virus strains in dependence of virus genotype”
2020
1 Dec
Seminar “Initial-boundary value problems for the two-dimensional Zakharov-Kuznetsov equation and its modifications”
2020
1 Dec
Scientific seminar “On nonexistence of solutions to some nonlinear inequalities with a fractional Laplacian”
2020
24 Nov
Seminar “Nonexistence of solutions for the Dirichlet problem with fractional Laplacian in a half-space”