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 2020
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
2021
29 Sep
Scientific seminar «Language aspects of integration and self-identification in modern world»
2021
23 Sep
Seminar “Stability and bifurcation in interacting population models with slow-fast time scale”
2021
10 Sep
Seminar “Consumerism and sustainability in the modern epoch”
2021
9 Sep
Seminar “Simulation of hydrogen combustion dynamics using a fully connected UNET neural network”