06-02【刘豫宁】腾讯会议 Shanghai Maths Seminar 2023 之 006

发布者:王欣发布时间:2023-05-25浏览次数:110

告题目:Phase Transition of Parabolic Ginzburg-Landau Equation with Potentials of High-Dimensional Wells

报告人:刘豫宁(上海纽约大学)

时间:2023年6月2日14:00-15:00   

地点:中科大上海研究院2号楼414 & 腾讯会议:TBA

报告摘要:


In this talk, we shall discuss  the co-dimensional one interface limit and geometric motions of parabolic Ginzburg--Landau systems with potentials of high-dimensional wells. The main result generalizes the one by Lin et al. (Comm. Pure Appl. Math., 65(6):833-888, 2012) to a dynamical case. In particular combining modulated energy methods and weak convergence methods, we derive the limiting harmonic heat flows in the inner and outer bulk regions segregated by the sharp interface, and a non-standard boundary condition for them. These results are valid provided that the initial datum of the system is well-prepared under natural energy assumptions.