分析和PDE讨论班——The Ericksen-Leslie system for the Oseen-Frank model in liquid crystals
主 题: 分析和PDE讨论班——The Ericksen-Leslie system for the Oseen-Frank model in liquid crystals
报告人: Min-Chun Hong (The University of Queensland, Australia)
时 间: 2017-10-10 10:30-11:30
地 点: 理科1号楼1303
Abstract: In this talk, I discuss the Ericksen-Leslie system for the Oseen-Frank model with unequal Frank elastic constants in $\R^3$. In particular, I discuss my new joint work with Dr Mei Yu on the Ericksen-Leslie system in liquid crystal. We prove existence of solutions to the Ericksen-Leslie system with initial data having small local $L^3$-norm. Moreover, we find a new way to remove the restriction on the Frank elastic constants to prove uniqueness of solutions, by using the rotation invariant property of the Oseen-Frank density.