G. Seregin, V. Šverák, “Rescalings at possible singularities of Navier–Stokes equations in half-space”, Algebra i Analiz, 2013, Volume 25, Issue 5,Pages <nobr>146

This article is cited in 11 papers

Research Papers

Rescalings at possible singularities of Navier–Stokes equations in half-space

G. Seregin^ab, V. Šverák^c

^a St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
^b Oxford University, UK
^c University of Minnesota, USA

Abstract: The relationship is clarified between possible blow-up for strong solutions of the initial boundary value problem for the incompressible Navier–Stokes equations in $\{x_3>0\}$, and the Liouville theorem for mild bounded ancient solutions.

Keywords: incompressible Navier–Stokes equations, blow-up, mild bounded ancient solution.

Received: 07.01.2013

Language: English