A Liouville Type Theorem for Steady-State Navier-Stokes Equations

Abstract

A Liouville type theorem is proven for the steady-state Navier-Stokes equations. It follows from the corresponding theorem on the Stokes equations with the drift. The drift is supposed to belong to a certain Morrey space.

arXiv comment7 pages

References in corpus (2)

• Liouville Type Theorem for Stationary Navier-Stokes Equations
• On Liouville type theorems for the steady Navier-Stokes equations in ${\mathbb{R}}^3$

Cited by in corpus (6)

• Remarks on Liouville Type Theorems for Steady-State Navier-Stokes Equations
• Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations
• On ancient periodic solutions to Axially-Symmetric Navier-Stokes Equations
• Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations
• On some Liouville type Theorems for the stationary MHD and Hall-MHD equations
• On some Liouville type theorems for the stationary equations of MHD