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Uniqueness of Heat Flow of Harmonic Maps in Higher Dimensions
Professor Changyou Wang 王长友教授(University of Kentucky)
2018-01-01 12:13  华东师范大学

偏微分方程讨论班

报告题目:Uniqueness of Heat Flow of Harmonic Maps in Higher Dimensions
演讲人:Professor Changyou Wang 王长友教授(University of Kentucky)
时间:2012年6月12日(星期二)下午4:15-5:15
地点:华东师大闵行校区数学楼102报告厅

摘要:. In this talk, we will discuss the uniqueness result for the initial-boundary value problem of heat flow of harmonic maps that enjoy small renormalized energies. Both convexity and unique limit at time infinity for such a class of heat flow of harmonic maps are also obtained. As a byproduct, we obtain the uniqueness of heat flow of harmonic maps in the Serrin's class. Some application to the hydrodynamic flow of nematic liquid crystals will also be discussed.