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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 489, Pages 81–95 (Mi znsl6925)

This article is cited in 1 paper

On Type I blowups of suitable weak solutions to Navier–Stokes equations near boundary

G. Sereginab

a Oxford University, UK
b St. Petersburg Department of Steklov Mathematical Institute, RAS, Russia

Abstract: In this note, boundary Type I blowups of suitable weak solutions to the Navier–Stokes equations are discussed. In particular, it has been shown that, under certain assumptions, the existence of non-trivial mild bounded ancient solutions in half space leads to the existence of suitable weak solutions with Type I blowup on the boundary.

Key words and phrases: Navier–Stokes equations, suitable weak solutions, ancient solutions, Type I blowups.

UDC: 517

Received: 29.10.2019

Language: English



© Steklov Math. Inst. of RAS, 2024