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arxiv: 1611.01563 · v1 · pith:DEVPREGOnew · submitted 2016-11-04 · 🧮 math.AP

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

G. Seregin This is my paper
classification 🧮 math.AP
keywords equationstheoremdriftliouvillenavier-stokessteady-statetypebelong
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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.

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  1. Liouville-type theorems for the stationary fractional Navier-Stokes equations in $\mathbb{R}^n$

    math.AP 2026-06 unverdicted novelty 6.0

    Establishes Liouville-type theorems for stationary fractional Navier-Stokes in R^n under integrability and large-scale Morrey energy bounds, with corollary for finite fractional energy when n/3 ≤ α < (n+2)/3.