Open AccessREFINED A PRIORI ESTIMATES FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS
Author(s) -
Zujin Zhang,
Xiqin Ouyang,
Xian Yang
Publication year - 2017
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2017034
Subject(s) - rotational symmetry , a priori and a posteriori , navier–stokes equations , vorticity , mathematics , mathematical analysis , compressibility , physics , mechanics , geometry , vortex , philosophy , epistemology
In this paper, we consider the axisymmetric Navier-Stokes equations, and provide a refined a priori estimate for the swirl component of the vorticity. This extends Theorem 2 of [D. Chae, J. Lee, On the regularity of the axisymmetric solutions of the Navier-Stokes equations, Math. Z., 239 (2002), 645–671].
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