Global BMO estimates for non-Newtonian fluids with perfect slip boundary conditions
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Submitted |
| Year: | 2017 |
| Abstract: | 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. |
| Preprint project: | NCMM |
| Preprint year: | 2017 |
| Preprint number: | 05 |
| Preprint ID: | NCMM/2017/05 |
| Keywords: | BMO estimates, boundary regularity, Generalized Stokes system, non-linear Calderon-Zygmund theory, Perfect Slip Boundary Conditions |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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