Global gradient estimates for shear thinning-type Stokes system on the non-smooth domains
In this paper, we present the global $L^q$ estimates for the weak solution of the steady p-Stokes equations describing the motion of the shear-thinning flow under the nonslip boundary condition. Our interest is a non-smooth domain whose boundary can go beyond the Lipschitz category, and the coefficients belong to BMO(Bounded Mean Oscillation) space with sufficiently small BMO semi-norm.
Authors
- Namkyeong Cho (ORCID: https://orcid.org/0000-0002-8232-437X)
Institutions
- Pohang University of Science and Technology (KR)
- Korea Post (KR)
Publication Details
- Journal
- Electronic Journal of Differential Equations
- Published
- 2024-08-26
- DOI
- https://doi.org/10.58997/ejde.2024.47
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00