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

About the Speaker

李步扬现为香港理工大学副教授,2013至2016年期间曾在南京大学先后受聘为助理研究员、副教授,2015-2016年期间作为洪堡学者在德国图宾根大学从事研究。报告人的主要研究兴趣为非线性偏微分方程的数值方法,包括光滑解的高精度方法、不光滑解的数值逼近、抛物方程有限元解的L^p模稳定性、曲率流的计算方法、以及不可压流体的数值分析,已发表论文70余篇。

Date&Time
2021-01-18 8:30 AM
Location
Room: Tencent Meeting
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