Center for Mathematical Machine Learning and its Applications (CM2LA)
Dept. of Mathematics
POSTECH, South Korea
email: namkyeong.cho@gmail.com
Namkyeong Cho
Abstract:
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.
Submitted May 8, 2024. Published August 26, 2024.
Math Subject Classifications: 35Q35, 35J25, 35J92.
Key Words: Stokes system; Reifenberg flat; symmetric gradient; non-Newtonian fluid.
DOI: 10.58997/ejde.2024.47
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Namkyeong Cho Center for Mathematical Machine Learning and its Applications (CM2LA) Dept. of Mathematics POSTECH, South Korea email: namkyeong.cho@gmail.com |
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