星光直播 星光直播 报告[2026]120号

（高水平大学建设系列报告1379号）

报告题目：Frame hydrodynamics of biaxial nematic phases: modelling and analysis

报告人：李思锐 教授（贵州大学）

报告时间：2026年11月19日16:30-17:30

报告地点：星光直播 粤海校区汇研楼633会议室

报告摘要：We consider a two-tensor hydrodynamics derived from the molecular model. Firstly, we prove the existence and uniqueness of local in time smooth solutions to the two-tensor system. Secondly, starting from the two-tensor hydrodynamics, by the Hilbert expansion we formally derive its biaixal limit, i.e., the frame hydrodynamics for the biaxial nematic phase, which is a coupled system between the evolution equation of the orthonormal frame field in SO(3) and the Navier-Stokes equation. Thirdly, for the biaxial hydrodynamics described by a field of orthonormal frame, its well-posedness of smooth solutions in dimensional two and three and the global existence of weak solutions in dimensional two are shown, respectively. The uniqueness of global weak solutions is also established using the Littlewood-Paley theory. Finally, we rigorously justify the connection between the two-tensor system and the frame hydrodynamics. More specifically, we show the convergence of the solution to the two-tensor hydrodynamics to the solution to the frame hydrodynamics. This talk is based on joint works with Jie Xu (ICMSEC, AMSS, CAS) and Chenchen Wang (WHU, CUHK).

报告人简介：李思锐，贵州大学数学与统计星光直播 教授，博士生导师。2015年7月于北京大学星光直播 计算数学专业获理学博士学位，2015年9月入职贵州大学数学与统计星光直播 ，2018年至2021年在浙江大学星光直播 基础数学方向从事博士后研究工作。研究兴趣为多尺度模型的数学理论与计算，在液晶不同层次模型的关系方面取得了一些成果。

邀请人：张露婵

星光直播

2026年11月13日