Global gradient estimates for shear thinning-type Stokes system on non-smooth domains. (English) Zbl 07906590
Summary: This article presents global \(L^q\) estimates for the weak solution of the steady \(p\)-Stokes equations, which describe the motion of shear-thinning flow under the nonslip boundary condition. We focus on non-smooth domains whose boundaries extend beyond the Lipschitz category, with coefficients belonging to the BMO (Bounded Mean Oscillation) space having a sufficiently small BMO semi-norm.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
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