On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions

Jiří Neustupa and Patrick Penel

Advances in Mathematical Physics, 2018, vol. 2018, 1-7

Abstract:

The paper shows that the regularity up to the boundary of a weak solution 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 , (the positive part of ), and , where are the eigenvalues of the rate of deformation tensor . A regularity criterion in terms of the principal invariants of tensor is also formulated.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4617020

DOI: 10.1155/2018/4617020

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