The rigidity of steady solutions of Navier-Stokes system and its applications

主講人：謝春景 上海交通大學教授

時間：2024年4月9日9：30

地點：三號樓332室

舉辦單位：數(shù)理學院

主講人介紹：謝春景，上海交通大學數(shù)學科學學院教授、博士生導師，國家優(yōu)秀青年基金獲得者。謝春景教授主要從事流體力學和相對論中的偏微分方程的理論研究，在相關課題上取得了重要研究成果，目前已在 Comm. Math. Phys.、Arch. Ration. Mech. Anal.、Adv. Math.、J. Math. Pures Appl.、Indiana Univ. Math. J.等國際重要學術期刊上發(fā)表論文多篇。

內容介紹：The Liouville type theorem for stationary Navier-Stokes system in the whole space is longstanding open problem. In this talk, we first discuss the rigidity of steady Navier-Stokes system with scaling invariant bounds and dimension bigger than three, where we do not need any type of self-similarity or smallness of solutions. Furthermore, this rigidity result is used to study the regularity and far field behavior of steady solutions of high dimensional Navier-Stokes system.