Gregory Seregin (Oxford & St.Petersburg) "Local regularity theory for weak solutions to the Navier-Stokes equations"

Oddział: 
Oddział Warszawski
czw, 2011-03-17 16:30

Polskie Towarzystwo Matematyczne,
Instytut Matematyczny Polskiej Akademii Nauk
i

Miedzynarodowe Centrum Matematyczne im. Stefana Banacha

zapraszaja na wyklad-kolokwium.

We czwartek, 17 marca 2011 roku o godz. 16.30 w Centrum Banacha,
ul. Sniadeckich 8, sala 403 (IV pietro),

Gregory Seregin

(Oxford University and St. Petersburg Department of Steklov Institute)

wyglosi wyklad

Local regularity theory for weak solutions to the Navier-Stokes equations

Abstract: In the talk, I am going to explain the so-called local regularity theory for weak solutions to the Navier-Stokes equations. Starting with well understood things such as ''epsilon''-regularity theory for suitable weak solutions, I shall continue with the reduction of a local regularity problem to the Liouville-type theorems. A conjecture about mild bounded ancient solutions will be discussed. The positive answer to it would rule out blowups of Type I and more generally blowups for which a certain ''reasonable'' scale-invariant quantity is bounded. For example, among such type of quantities are the scaled kinetic energy, the scaled dissipation, and etc. The second part of the talk will address the problem of how scale-invariant norms of the velocity field grow when time approaches a potential blow-up.

Przed wykladem, od godz. 16, zapraszamy na kawe, herbate i ciasteczka.

Organizatorzy