报告人：刘豫宁（上海纽约大学）
时间：2023年6月7日14：00-15：00
地点： 中科大上海研究院2号楼414 & 腾讯会议：987 696 573，无需密码
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.
