Boundary regularity of suitable weak solution for the Navier-Stokes equations

Journal of Functional Analysis

Volumn 268, Issue 8, 2015, Pages 2171-2187

  Choe, Hi Jun ^a  

^a Yonsei University   (South Korea)

Author keywords

Hausdorff measure; Navier Stokes equation; Partial regularity; Suitable weak solution

Indexed keywords

EID: 84924191372     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2014.12.016     Document Type: Article

References (5)

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3. Scheffer V. Hausdorff measure and the Navier-Stokes equations. Comm. Math. Phys. 1977, 55:97-112.
4. Seregin G.A. Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. J. Math. Fluid Mech. 2002, 4(1):1-29.
5. Solonnikov V.A. Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces and estimates for the resolvent of the Stokes operator. Uspekhi Mat. Nauk. Russian Math. Surveys 2003, 58(2):331-365. (in Russian); translation in:.