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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 
 

 

Remarks on Liouville type theorems for steady-state Navier-Stokes equations


Author: G. Seregin
Original publication: Algebra i Analiz, tom 30 (2018), nomer 2.
Journal: St. Petersburg Math. J. 30 (2019), 321-328
MSC (2010): Primary 35Q30
DOI: https://doi.org/10.1090/spmj/1544
Published electronically: February 14, 2019
MathSciNet review: 3790738
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Abstract: Liouville type theorems for the stationary Navier-Stokes equations are proved under certain assumptions. These assumptions are motivated by conditions that appear in Liouville type theorems for the heat equations with a given divergence free drift.


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Additional Information

G. Seregin
Affiliation: University of Oxford, UK; St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Email: seregin@maths.ox.ac.uk

DOI: https://doi.org/10.1090/spmj/1544
Keywords: Navier--Stokes equations, Liouville type theorem
Received by editor(s): July 24, 2017
Published electronically: February 14, 2019
Additional Notes: Supported by RFBR (grant no. 17-01-00099a)
Dedicated: Dedicated to the 130th anniversary of Vladimir Ivanovich Smirnov
Article copyright: © Copyright 2019 American Mathematical Society