Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations
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- by G. Seregin and W. Wang
- St. Petersburg Math. J. 31 (2020), 387-393
- DOI: https://doi.org/10.1090/spmj/1603
- Published electronically: February 4, 2020
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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.References
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Bibliographic Information
- G. Seregin
- Affiliation: Oxford University, United Kingdom; and St. Petersburg Branch Steklov Mathematical Institute, Fontanka 27, 191023 St. Petersburg, Russia
- Email: seregin@maths.ox.ac.uk
- W. Wang
- Affiliation: Dalian University of Technology, China
- Email: wendong@dlut.edu.cn
- Received by editor(s): September 21, 2018
- Published electronically: February 4, 2020
- Additional Notes: The first author was supported by the grant RFBR no. 17-01-00099-a.
The second author was supported by NSFC under grant no. 11671067, “the Fundamental Research Funds for the Central Universities” and China Scholarship Council - © Copyright 2020 American Mathematical Society
- Journal: St. Petersburg Math. J. 31 (2020), 387-393
- MSC (2010): Primary 35Q30
- DOI: https://doi.org/10.1090/spmj/1603
- MathSciNet review: 3937507
Dedicated: Dedicated to Vladimir Maz′ya on the occasion of his 80th birthday