Seminar “Existence, asymptotics and Lyapunov's stability of solutions of periodic parabolic boundary-value problems for Tikhonov-type systems”

Seminar “Existence, asymptotics and Lyapunov's stability of solutions of periodic parabolic boundary-value problems for Tikhonov-type systems”

The event passed
26 Dec 2023
Location
Online
About the event

On 26 December at 18:00 p.m. (Moscow time)

A seminar on nonlinear problems of PDE and mathematical physics “Existence, asymptotics and Lyapunov’s stability of solutions of periodic parabolic boundary-value problems for Tikhonov-type systems” will be held at RUDN University.

Speaker: Professor Nikolay Nefedov, Faculty of Physics of Moscow Lomonosov State University.

We consider a periodic parabolic singularly perturbed boundary value problem for the Tikhonov system: a singularly perturbed system with fast and slow equations. An asymptotic approximation of the solution to the problem is constructed, conditions for the existence of a solution and its asymptotic stability according to Lyapunov are obtained for these solutions as solutions to the corresponding initial-boundary value problems for this system, both in the case of various types of quasi-monotonicity and in the case of its violation. The results are generalized to initial-boundary value parabolic problems, including problems with quadratic nonlinearities (the so-called KPZ diffusion-advection reaction systems).

Online

Related eventsAll events
2025
29 Oct
International Scientific Seminar “Advances in Bioaerosol Monitoring and Urban Air Microbiology”
2025
15 Oct
International Scientific Seminar “Soils of Arctic urban areas and C-mapping in them”
2025
18 Nov
International students’ conference “Language and cultures: historical experience and prospects for development”
2025
24 Sep
Russia and Africa: Heritage of the Past, Opportunities of the Present, Prospects for the Future In Honor of the 100th Anniversary of Patrice Lumumba