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

主讲人：谢春景 上海交通大学教授

时间：2024年4月9日9：30

地点：三号楼332室

举办单位：数理学院

主讲人介绍：谢春景，上海交通大学数学科学学院教授、博士生导师，国家优秀青年基金获得者。谢春景教授主要从事流体力学和相对论中的偏微分方程的理论研究，在相关课题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.等国际重要学术期刊上发表论文多篇。

内容介绍：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.