报告题目：On the energy equality and regularity of the incompressible Navier–Stokes equations

报 告 人：吴繁

报告时间：2025年4月19日上午11:00—12：00

报告地点： 格物楼528

报告摘要：

    In this talk, I will first discuss two energy conservation criteria for very weak solutions, based on the control of the integrability of the strain tensor. This is a new attempt at establishing energy conservation criteria by controlling the integrability of the strain tensor within the L^p framework.Next, I will present my collaborative work with Dr. Chol-Jun O, where we prove a regularity criterion for weak solutions to the 3D incompressible Navier–Stokes equations in terms of the positive part of the intermediate eigenvalue of the strain matrix. Our result provides a positive answer to a problem posed by Miller in Arch. Ration. Mech. Anal., 2020, 235(1): 99–139.

报告人简介：

    吴繁，南昌工程学院讲师，2022年博士毕业于湖南师范大学。主要从事流体方程组弱解正则性和能量守恒的数学研究，部分研究成果发表在J. Math. Fluid Mech.、Proc. Roy. Soc. Edinburgh Sect. A、Discrete Contin. Dyn. Syst.、J. Math. Phys.、J. Evol. Equ.等期刊上。目前主持在研省部级科研项目2项。