A bounded numerical solution with a small mesh size indicates a smooth solution of the Navier–Stokes equations
报告人：Buyang Li (The Hong Kong Polytechnic University)
地点：Room 1493, Sciences Building No. 1
Abstract: We prove that for a given smooth initial value, if the finite element solution of the three-dimensional Navier–Stokes equations is bounded in a certain norm with a relatively small mesh size, then the solution of the Navier–Stokes equations with this given initial value must be smooth and unique, and is successfully approximated by the numerical solution.