Abstract
In this article we prove a logarithmic improvement of regularity criteria in the multiplier spaces for the Cauchy problem of the incompressible Navier-Stokes equations in terms of pressure. This improves the main result in [S. Benbernou, A note on the regularity criterion in terms of pressure for the Navier-Stokes equations, Applied Mathematics Letters 22 (2009) 1438–1443].
Original language | English |
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Pages (from-to) | 62-68 |
Number of pages | 7 |
Journal | Applied Mathematics Letters |
Volume | 58 |
Early online date | 17 Feb 2016 |
DOIs | |
Publication status | Published - Aug 2016 |
Keywords
- Navier-Stokes
- Global regularity
- Pressure
- Prodi-Serrin
- Multiplier spaces
- Logarithmic improvement