Notes on Liouville type theorems for the stationary compressible Navier–Stokes equations

Notes on Liouville type theorems for the stationary compressible Navier–Stokes equations

In this paper, we investigate the three dimensional stationary compressible Navier–Stokes equations, and obtain Liouville type theorems if a smooth solution (ρ,u) satisfies some suitable conditions. In particular, our results improve and generalize the corresponding result of Li and Yu (2014).

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Veröffentlicht in:Applied mathematics letters 2021-04, Vol.114, p.106908, Article 106908
Hauptverfasser: Li, Zhouyu, Niu, Pengcheng
Format: Artikel
Sprache:eng
Schlagworte:
Compressible Navier–Stokes equations
Liouville type theorem
Lorentz space
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Zusammenfassung:In this paper, we investigate the three dimensional stationary compressible Navier–Stokes equations, and obtain Liouville type theorems if a smooth solution (ρ,u) satisfies some suitable conditions. In particular, our results improve and generalize the corresponding result of Li and Yu (2014).
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106908