TY  - GEN 
T1  - Global BMO estimates for non-Newtonian  fluids with perfect slip boundary conditions
A1  - Mácha, Václav
A1  - Schwarzacher, Sebastian
Y1  - 2017
KW  - BMO estimates
KW  - boundary regularity
KW  - Generalized Stokes system
KW  - non-linear Calderon-Zygmund theory
KW  - Perfect Slip Boundary Conditions
N2  - We study the generalized stationary Stokes system in a bounded domain in the plane equipped
with perfect slip boundary conditions. We show natural stability results in oscillatory spaces, i.e. Holder spaces
and Campanato spaces including the border line spaces of bounded mean oscillations (BMO) and vanishing
mean oscillations (VMO). In particular we show that under appropriate assumptions gradients of solutions are
globally continues. Since the stress tensor is assumed to be governed by a general Orlicz function, our theory
includes various cases of (possibly degenerate) shear thickening and shear thinning 
uids; including the model
case of power law 
uids.
M1  - Preprint project = NCMM
M1  - Preprint year = 2017
M1  - Preprint number = 05
M1  - Preprint ID = NCMM/2017/05
ER  -