Journal
JOURNAL OF MATHEMATICAL FLUID MECHANICS
Volume 13, Issue 3, Pages 341-353Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00021-010-0038-6
Keywords
Incompressible Navier-Stokes equations; regularity of solution; regularity criteria
Funding
- University of Toulon
- MSMT [MSM 0021620839]
- Czech Science Foundation [201/08/0315]
- Jindrich Necas Center for Mathematical Modeling [LC06052]
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In this short note we consider the 3D Navier-Stokes equations in the whole space, for an incompressible fluid. We provide sufficient conditions for the regularity of strong solutions in terms of certain components of the velocity gradient. Based on the recent results from Kukavica (J Math Phys 48(6):065203, 2007) we show these conditions as anisotropic regularity criteria which partially interpolate results from Kukavica (J Math Phys 48(6):065203, 2007) and older results of similar type from Penel and PokornA1/2 (Appl Math 49(5):483-493, 2004).
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