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发布时间:2015-05-06文章来源:华南理工大学数学学院浏览次数:31

 

 

报告题目:Cubic Instability in the Q-tensor Theory of Liquid Crystals

 

人:徐翔 博士 (美国普渡大学)

报告时间: 201558日下午4:15-5:15

报告地点:4号楼 4131

欢迎广大师生参加。              

 

 

                                          数学学院

                                    2015317

 

报告摘要:The Landau-de Gennes theory on the study of nematic liquid crystals was initiated by the Physics Nobel Prize winner P.-G. de Gennes in the 1970's, and it began to attract the extensive attention of mathematicians in recent years. This theory is a phenomenological theory in which stable states of the liquid crystal material correspond to minimizers of a free energy. In its free energy form, there is however an unusual cubic term. In this talk we will discuss the dynamic effects induced by this cubic term by considering the $L^2$ gradient flow dynamics generated by the free energy. We work in both two and three dimensions and focus on understanding the relations between the physicality of the initial data and global well-posedness of the system.