报告人：赖柏顺教授（湖南师范大学）

时间：2026年9月28日星期一下午16:00 -17:30

地点：数理楼143教室

题目：The forward self-similar solutions of the Navier-Stokes equations in R^n

摘要：We investigate the existence and regularity of forward self-similar solutions to the incompressible Navier--Stokes equations in R^n for 2<n<6. Regarding existence, we deviate from the classical approach to constructing self-similar solutions-which typically relies on the Leray-Schauder degree theory-and instead employ the Brouwer fixed-point theorem to solve a Galerkin approximation of the Leray profile problem governing the forward self-similar form. This method yields a simple existence proof for forward self-similar solutions and is of independent interest. This is a joint work with Miao-Zhao-Zheng

报告人简介：赖柏顺，现为湖南师范大学“潇湘学者”特聘教授，数学系系主任，第14届中国数学会理事；长期从事不可压缩Navier-Stokes方程的数学理论研究。其主要成果发表在Adv. Math.，Comm. Math. Phys. Trans. Amer. Math. Soc.，J. Funct. Anal等国内外刊物上。主持多项国家自然科学基金，获得湖南省杰出青年基金资助