In this paper, we present the global Lq 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.
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Namkyeong Cho (2024) studied this question.
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