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发布时间:2017-04-12文章来源:浏览次数:53

 

 

报告题目:CubicInstability 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: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.