报告题目：Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in $\mathbb{R}^3$

报告人：于锏博 大连理工大学 

报告时间：2025年11月19日 10：00-11：00

报告地点：伍卓群楼三楼330

报告摘要：In this talk, we investigate Liouville type theorems for the fractional Navier-Stokes equations  in $\mathbb{R}^3$ under some conditions on the boundedness of fractional derivatives. We prove that the smooth solution must be a trivial solution provided that it uniformly converges to a nonzero constant vector at infinity by applying Lizorkin's multiplier theorem to establish \(L^p\) estimates for the fractional linear Oseen system and Coifman-McIntosh-Meyer type commutator estimates for the dissipation term. It is noteworthy that the integrability of velocity is not required here.

报告人简介：于锏博，大连理工大学博士，主要从事分数阶NS方程和边界层理论研究。