G. Seregin, “Remarks on Liouville type theorems for steady-state Navier–Stokes equations”, Algebra i Analiz, 2018, Volume 30, Issue 2,Pages <nobr>238

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Research Papers

Remarks on Liouville type theorems for steady-state Navier–Stokes equations

G. Seregin^ab

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

Abstract: Liouville type theorems for the stationary Navier–Stokes equations are proved under certain assumptions. These assumptions are motivated by conditions that appear in Liouville type theorems for the heat equations with a given divergence free drift.

Keywords: Navier–Stokes equations, Liouville type theorem.

MSC: 35Q30

Received: 24.07.2017

Language: English