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
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
2025
23 - 25 Sep
“Food Quality Food Safety” (FQFS-2025) 5th International Conference
2025
24 - 25 Sep
The All-Russian Conference with International Participation “Conference on Oil and Gas Technology and Subsoil Use”