TY  - JOUR
T1  - On the dynamic slip boundary condition for Navier--Stokes-like problems
A1  - Abbatiello, Anna
A1  - Bulíček, Miroslav
A1  - Maringová, Erika
JA  - Math. Models Methods Appl. Sci.
Y1  - 2021
VL  - 31
IS  - 11
SP  - 2165
EP  - 2212
M2  - doi: 10.1142/S0218202521500470
KW  - dynamic slip
KW  - existence
KW  - Implicit constitutive theory
KW  - large data
KW  - weak solution
N2  - The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface, despite the assumption of the no-slip condition is preferred to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the ``static slip models", there are phenomena not accurately described by them, e.g. in the moment when the slip changes rapidly, the wall shear stress and the slip  can exhibit a sudden overshoot and subsequent  relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier-Stokes-like problems with dynamic slip boundary condition, which requires a proper generalisation of the Gelfand triplet and the corresponding function spaces setting.
M1  - Preprint project = NCMM
M1  - Preprint year = 2020
M1  - Preprint number = 10
M1  - Preprint ID = NCMM/2020/10
ER  -