研究生短課程
數學系--偏微分方程中心
題目: Mean Curvature Motion: Homogenization and Traveling Waves
主講: Professor Regis Monneau
École des Ponts Paris Tech, France 時間: 5月5、7、10、21、22、25日,下午1:30-4:00
地點: 102報告廳視頻直播
摘要: In these lectures, we are interested in the dynamics of curves or surfaces moving with Mean Curvature Motion (MCM). We will present recent results about both Homogenization of forced MCM and the construction of traveling waves.
日程:
5月7日 (周四): Introduction to Mean Curvature Motion (MCM)
5月8日 (周五): Introduction to Homogenization (I)
5月9日 (周壹): Introduction to Homogenization (II)
5月10日(周三): Homogenization of MCM
5月11日(周五): Traveling waves for MCM (I)
參考文獻
[1] Y. Giga, Surface evolution equations. A level set approach, Monographs in Mathematics, 99. Birkhäuser Verlag, Basel, (2006).
[2] P.-L. Lions, P.E. Souganidis, Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 5, 667-677.
[3] R. Monneau, J.-M. Roquejoffre, V. Roussier-Michon, Travelling graphs for the forced mean curvature motion in an arbitrary space dimension