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. |
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