TY - JOUR
A2 - Bonfanti, Giovanna
AU - Neustupa, Jiří
AU - Penel, Patrick
PY - 2018
DA - 2018/03/01
TI - On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions
SP - 4617020
VL - 2018
AB - 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 ζ1, (ζ2)+ (the positive part of ζ2), and ζ3, where ζ1≤ζ2≤ζ3 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.
SN - 1687-9120
UR - https://doi.org/10.1155/2018/4617020
DO - 10.1155/2018/4617020
JF - Advances in Mathematical Physics
PB - Hindawi
KW -
ER -