应兰州大学数学与统计学院徐浩副教授邀请，上海交通大学数学科学学院苏祥祥博士将于2026年7月20日上午10：00--11：00作线下学术报告，欢迎大家参加。

报告题目：Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier--Stokes Equations

时间：10：00--11：00

地点：理工楼631

摘要：We discuss the "transfer of regularity" phenomenon for the incompressible Navier--Stokes Equations (NSE) in dimension $n \geq 3$; that is, the strong solutions of NSE on $\mathbb{R}^n$ can be nicely approximated by those on sufficiently large domains $\Omega \subset \mathbb{R}^n$ under the no-slip boundary condition. Based on the spacetime decay estimates for mild solutions of NSE established by Miyakawa and Schonbek, etc., we obtain quantitative estimates on higher-order derivatives of velocity and pressure for the incompressible Navier--Stokes flow on large domains under certain additional smallness assumptions of the Stokes' system and/or the initial velocity, thus complementing the transfer of regularity theorems obtained by Robinson (Nonlinearity 2021) and O\.z\'anski (J. Math. Fluid Mech. 2021).

*Joint work with Siran Li (Shanghai Jiao Tong University)

报告人简介

苏祥祥，上海交通大学数学科学学院博士后研究员。2025年于上海交通大学获得数学博士学位，导师为谢峰教授。主要研究方向为数学物理与几何中的偏微分方程，重点关注流体力学、相变模型以及等距浸入问题。其研究成果发表于 Archive for Rational Mechanics and Analysis、Science China Mathematics、Chinese Annals of Mathematics,Series B等。

甘肃省计算数学基础学科研究中心

数学与统计学院

萃英学院

2026年7月17日