On Liouville-type theorem for the stationary compressible Navier–Stokes equations in $ \mathbb{R}^{3} $-Reference-Cited by-同舟云学术

On Liouville-type theorem for the stationary compressible Navier–Stokes equations in $ \mathbb{R}^{3} $

Published:2023 Issue:1 Volume:32 Page:386-404
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Liu Caifeng¹,Liu Pan²

Affiliation:

1. School of Mathematics, Northwest University, Xi'an 710127, Shaanxi, China

2. School of Mathematics and Statistics, Yulin University, Yulin 719000, Shaanxi, China

Abstract

<abstract><p>In this paper, we study the Liouville-type theorem for the stationary barotropic compressible Navier–Stokes equations in $ \mathbb{R}^{3} $. Based on a fairly general framework of a kind of local mean oscillations integral and Morrey spaces, we prove that the velocity and the density of the flow are trivial without any integrability assumption on the gradient of the velocity.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference30 articles.

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