Remarks on Liouville Type Theorems for Steady-State Navier-Stokes Equations

Abstract

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

13 pages

References in corpus (4)

• Liouville Type Theorem for Stationary Navier-Stokes Equations
• A Liouville Type Theorem for Steady-State Navier-Stokes Equations
• On Liouville type theorems for the steady Navier-Stokes equations in ${\mathbb{R}}^3$
• Liouville type theorems on the steady Navier-Stokes equations in R3

Cited by in corpus (5)

• On local Type I singularities of the Navier-Stokes equations and Liouville theorems
• Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations
• Scalar elliptic equations with a singular drift
• Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations
• Conditional Liouville theorems for the Navier-Stokes equations