A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier–Stokes equations
A/Prof. Bu-Yang Li
The Hong Kong Polytechnic University

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.

About the Speaker


2021-01-18 8:30 AM
Room: Tencent Meeting
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