Partial Regularity of the Steady Fractional Navier-Stokes Equations.
唐嵐博士中研院數學所 下午 4:00–5:30 Tòa nhà Hồng Kinh 107 室摘要：
We study the steady fractional Navier-Stokes equations in R^3 with 1/2 < s < 1. We show that if 1/2 < s < 5/6, the suitable weak solution is regular away from a compact singular set with zero (5-6s)-Hausdorff measure and if s >5/6 or s=5/6, it is regular.