G. Seregin, W. Wang, “Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations”, Algebra i Analiz, 2019, Volume 31, Issue 2,Pages <nobr>269

This article is cited in 27 papers

Research Papers

Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations

G. Seregin^ab, W. Wang^c

^a PDMI, RAS, Russia
^b Oxford University, UK
^c Dalian University of Technology, China

Abstract: Our aim is to prove Liouville type theorems for the three dimensional steady-state Navier–Stokes equations provided the velocity field belongs to some Lorentz spaces. The corresponding statement contains several known results as a particular case.

Keywords: Liouville theorem, Navier–Stokes equations, Lorentz spaces.

MSC: 35Q30

Received: 21.09.2018

Language: English