Pulse Journal Club Active Debates Trending Explore Researchers

Download the App

Join discussions, follow papers, and never miss your next session.

Download on theApp Store

© Synapse Social LLC, 2026

Home Explore Journal Club Trending

⌘+K

Liouville type theorem for stationary Navier–Stokes equations | Synapse

June 28, 2016Open Access

Liouville type theorem for stationary Navier–Stokes equations

Key Points

The aim is to establish conditions under which smooth solutions to the stationary Navier-Stokes equations are trivial.
Analyzed smooth solutions of the stationary Navier-Stokes equations in R3
Used mathematical frameworks L6 and BMO-1 to derive constraints
Any smooth solution with velocity in L6 and BMO-1 must be zero.

Abstract

It is shown that any smooth solution to the stationary Navier-Stokes system in R3 with the velocity, belonging to L6 and BMO-1, must be zero.

Ask AI

Mark Helpful

Bookmark

Relay

View Full Paper

Ask AI

Mark Helpful

Bookmark

Relay

View Full Paper

Cite This Study

G. Serëgin (Tue,) studied this question.

synapsesocial.com/papers/69e2025a45c770d357ad3ed8 https://doi.org/https://doi.org/10.1088/0951-7715/29/8/2191

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems2011 · 538 citations
2MULTIPLE INTEGRALS IN THE CALCULUS OF VARIATIONS AND NONLINEAR ELLIPTIC SYSTEMS1984 · 901 citations
3Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)1984 · 1,612 citations
4Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral1978 · 135 citations
5Liouville theorems for the Navier–Stokes equations and applications2009 · 299 citations