## Abstract Consider the nonstationary Navier–Stokes equations in Ω × (0, __T__), where Ω is a bounded domain in ℝ^3^. We prove interior regularity for suitable weak solutions under some condition on the pressure in the class of scaling invariance. The notion of suitable weak solutions makes it pos
On the regularity criterion for the solutions of 3D Navier–Stokes equations in weak multiplier spaces
✍ Scribed by Zaihong Jiang; Sadek Gala; Lidiao Ni
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 109 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1506
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✦ Synopsis
Communicated by M. Costabel
In this work, we improved the regularity criterion on the Cauchy problem for the Navier-Stokes equations in multiplier space in terms of the two partial derivatives of velocity fields, @ 1 u 1 and @ 2 u 2 .
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