报告题目:CubicInstability in the Q-tensor Theory of Liquid Crystals
报告人:徐翔博士(美国普渡大学)
报告时间:2015年5月8日下午4:15-5:15
报告地点:4号楼4131室
欢迎广大师生参加。
数学学院
2015年3月17日
报告摘要:TheLandau-de Gennes theory on the study of nematic liquid crystals wasinitiated by the Physics Nobel Prize winner P.-G. de Gennes in the1970's, and it began to attract the extensive attention ofmathematicians in recent years. This theory is a phenomenologicaltheory in which stable states of the liquid crystal materialcorrespond to minimizers of a free energy. In its free energy form,there is however an unusual cubic term. In this talk we will discussthe dynamic effects induced by this cubic term by considering the$L^2$ gradient flow dynamics generated by the free energy. We work inboth two and three dimensions and focus on understanding therelations between the physicality of the initial data and globalwell-posedness of the system.