Seminar on nonlinear problems of PDE and mathematical physics (chief A. E. Shishkov)

Seminar on nonlinear problems of PDE and mathematical physics (chief A. E. Shishkov)

The event passed
5 Mar 2019
Location
Moscow, Ordzhonikidze St., 3,
About the event

Speaker: professor A.E.Shishkov (RUDN University).

Title: Localized and non-localized regimes with singular peaking for quasi-linear parabolic PDE

Abstract:  Localization properties of boundary regimes with infinite peaking as t tends to T< for some parabolic equations, admitting barrier technique, were studied since 60-th of 20 century by  A.A.Samarskii,I.M.Sobol', S.P.Kurdyunov,V.A.Galaktionov,B.H.Gilding, M.A.Herrero, A.S.Kalashnikov,,C.Cortazar,M.Elgueta and other. In 1999 A.E Shishkov proposed new approach to the study of mentioned problem, which do not use any variant of barrier technique (any comparison theorems) and is based on some adaptation of local energy estimates method. In the series of papers of V.A.Galaktionov and A.E. Shishkov mentioned approach was adapted for obtaining of sharp localization conditions of boundary regimes with strong peaking for higher order quasi-linear parabolic PDE.   In present talk we will discuss new results about sharp upper estimates of final profile of solutions of parabolic PDE near to the blow-up time of boundary data, which generate localized peaking regime.

 

Related eventsAll events
2021
21 Oct
Seminar “Modeling of a rotating detonation engine combustion chamber”
2021
19 Oct
Seminar “Periodic homogenization of non-local elliptic and parabolic operators of convolution type”
2021
18 Oct
Lecture and a master class “Communication interculturelle et techniques de la négociation”
2021
3 Dec
Scientific seminar «Novel cationic 1,2,4-selenadiazoles: synthesisviaaddition of 2-pyridylselenyl halides» «Organometallic Palladium Reagents for Cysteine Bioconjugation»