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

2018/05/06 by G. Serëgin, G. Seregin, W. Wang +2 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1805.02227

arxiv created 2018/05/06 · arxiv updated 2018/05/08

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.

Citations

• Liouville theorems for the Navier–Stokes equations and applications

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