Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | 梅钰 副教授,西北工业大学 | Inviter: | | Title: | On three dimensional nematic liquid crystal flows with the Oseen-Frank energy | Time & Venue: | 2021.05.11 10:30-11:30 思源楼805 | Abstract: | In this talk, we present some results on three dimensional nematic liquid crystal flows with the Oseen- Frank energy. On the one hand, ignoring Leslie tensor, we established the well-posedness of Ericksen-Leslie system in uniformly locally L^3 spaces. On the other hand, when the effect of Leslie tensor is considered, we proved the local well-posedness of strong solutions to the Ericksen-Leslie system as well as the smooth convergence of the Ginzburg-Landau approximation once away from initial time. These works are joint with Professor Min-Chun Hong and Mr. Zhewen Feng. | | | |