Special Session 89: 

Short time regularity of Navier-Stokes flows with locally L^3 initial data and applications

Hideyuki Miura
Tokyo Institute of Technology
Japan
Co-Author(s):    Kyungkeun Kang and Tai-Peng Tsai
Abstract:
We prove short time regularity of suitable weak solutions of 3D incompressible Navier-Stokes equations near a point where the initial data is locally in L^3. The result is applied to the regularity problems of solutions with uniformly small local L^3 norms, and of forward discretely self-similar solutions.