學術演講 主講者: 唐嵐 博士 (本所) 講題: Regularity Theory for the Incompressible Fractional Navier-Stokes Equations 時間: 2014-09-25 (Thu.)  15:00 - 16:00 地點: 數學所 演講廳(6F) (台大院區) Abstract: In this talk we study the incompressible fractional Navier-Stokes equations with the power s of the negative Laplacian satisfying 3/4< s < 1. We show that any suitable weak solution is regular away from a relatively closed set, whose (5-4s)-Hausdorff measure is zero. This is a generalization of Caffarelli-Kohn-Nirenberg (1982 CPAM), where the classical NSE was treated. || Close window ||