4.3 Article

An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field

Journal

BULLETIN OF MATHEMATICAL SCIENCES
Volume 8, Issue 1, Pages 33-47

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1007/s13373-016-0098-x

Keywords

Regularity criteria; Navier-Stokes equations; Multiplicative Sobolev inequality

Categories

Funding

  1. National Natural Science Foundation of China [11501125]

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In this paper, we establish a new multiplicative Sobolev inequality. As applications, we refine and extend the results in Kukavica and Ziane (J Math Phys 48:065203, 2007) and Cao (Discrete Contin Dyn Syst 26:1141-1151, 2010) simultaneously.

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