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Algebra i Analiz, 2019, Volume 31, Issue 2, Pages 269–278 (Mi aa1646)  
This article is cited in 25 scientific papers (total in 25 papers)

Research Papers

Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations

G. Sereginab, W. Wangc

a PDMI, RAS, Russia
b Oxford University, UK
c Dalian University of Technology, China
Full-text PDF (187 kB) Citations (25)
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Abstract: Our aim is to prove Liouville type theorems for the three dimensional steady-state Navier–Stokes equations provided the velocity field belongs to some Lorentz spaces. The corresponding statement contains several known results as a particular case.
Keywords: Liouville theorem, Navier–Stokes equations, Lorentz spaces.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00099_a
National Natural Science Foundation of China 11671067
The first author was supported by the grant RFBR no. 17-01-00099-a.
Received: 21.09.2018
English version:
St. Petersburg Mathematical Journal, 2019, Volume 31, Issue 2, Pages 387–393
DOI: https://doi.org/10.1090/spmj/1603
Bibliographic databases:
Document Type: Article
MSC: 35Q30
Language: English
Citation: G. Seregin, W. Wang, “Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations”, Algebra i Analiz, 31:2 (2019), 269–278; St. Petersburg Math. J., 31:2 (2019), 387–393
Citation in format AMSBIB
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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