Liouville-type theorems for steady solutions of the barotropic Navier–Stokes system

Discrete and Continuous Dynamical Systems - S 2026 Open access

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Authors: Youseung Cho, Eduard Feireisl, Minsuk Yang
DOI: 10.3934/dcdss.2026141
Cited by: 1
References: 13

Abstract

We establish various results concerning the uniqueness of zero velocity solutions for the static barotropic Navier–Stokes system. Some of them can be seen as Liouville-type theorems for problems in unbounded physical space.

Fields of Study & Subjects

Navier-Stokes equation solutions Stability and Controllability of Differential Equations Fluid Dynamics and Turbulent Flows

Publication details

Journal / source
Discrete and Continuous Dynamical Systems - S
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
32
Issue
0
Pages
399–424
Publication date
6 May 2026
Language
EN