The rigidity of steady solutions of Navier-Stokes system and its applications
Prof. Chunjing Xie
2024-04-30 16:00-17:00
MCM110
Speaker: Prof. Chunjing Xie (Shanghai Jiaotong University)Time: 16:00-17:00 April 30, 2024 (Tuesday)
Place: MCM110
Title: The rigidity of steady solutions of Navier-Stokes system and its applications
Abstract: 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 dimension bigger than three in a class more general than self-similar solutions, 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. Finally, we discuss the rigidity for steady Navier-Stokes system in domains with physical boundaries.
