Time: 9:30-11:30, Wednesday, April 28
Venue: E4-233
Speaker: Jeaheang Bang
Titile: Self-Similar Solutions to the Stationary Navier-Stokes Equations
Abstract: A unique structure of the Navier-Stokes equations introduces a scaling property, which significantly impacts the study of various aspects, including the regularity and asymptotic behavior of solutions. Consequently, it is natural to investigate the equations in a scaling-invariant solution space, which encompasses solutions exhibiting a kind of self-similarity. In this presentation, I will provide an overview of the historical development of self-similar solutions to the stationary Navier-Stokes equations, accompanied by my recent results. To ensure accessibility to the potential audience of this seminar, I will commence with ordinary differential equation (ODE) examples to elucidate the whole story. These are joint works with Changfeng Gui (Univ. Macau), Chunjing Xie and Hao Liu (Shanghai Jiao Tong Univ.), Yun Wang (Soochow Univ.).
Speaker: Zhuang Qian
Title: Unconventional magnetism and altermagnetism
Abstract: Unconventional magnetism (UM) was proposed for a class of quantum phases due to their similar symmetry properties to unconventional superconductivity. "Altermagnetism" is currently a major research focus in condensed-matter physics. From the symmetry perspective, "altermagnetism" and the collinear version of UM (alpha-phase) in even partial-wave numbers belong to the same symmetry class. In this talk, I will discuss their connections and differences and introduce our recent work on RuO2.
