Journal
ADVANCES IN MATHEMATICAL PHYSICS
Volume 2018, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2018/4617020
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Funding
- Grant Agency of the Czech Republic [17-01747S]
- Czech Academy of Sciences [RVO 67985840]
- Czech Academy of Sciences
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The paper shows that the regularity up to the boundary of a weak solution v of the Navier-Stokes equation with generalized Navier's slip boundary conditions follows from certain rate of integrability of at least one of the functions zeta(1), (zeta(2))(+) (the positive part of zeta(2)), and zeta(3), where zeta(1) <= zeta(2) <= zeta(3) are the eigenvalues of the rate of deformation tensor D(v). A regularity criterion in terms of the principal invariants of tensor D(v) is also formulated.
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