A remark on Liouville-type theorems for the stationary Navier–Stokes equations in three space dimensions

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

研究成果: Article査読

23 被引用数 (Scopus)

抄録

Consider the 3D homogeneous stationary Navier–Stokes equations in the whole space R3. We deal with solutions vanishing at infinity in the class of the finite Dirichlet integral. By means of quantities having the same scaling property as the Dirichlet integral, we establish new a priori estimates. As an application, we prove the Liouville theorem in the marginal case of scaling invariance.

本文言語English
ページ(範囲)804-818
ページ数15
ジャーナルJournal of Functional Analysis
272
2
DOI
出版ステータスPublished - 2017 1 15

ASJC Scopus subject areas

  • Analysis

フィンガープリント 「A remark on Liouville-type theorems for the stationary Navier–Stokes equations in three space dimensions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル