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

作者：Zhang, Zujin^*

来源：Bulletin of Mathematical Sciences, 2018, 8(1): 33-47.

DOI：10.1007/s13373-016-0098-x

• Regularity criteria
• Navier-Stokes equations
• Multiplicative Sobolev inequality

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.

• 出版日期2018-4
• 单位赣南师范大学