Speaker: Yuning Liu（NYU Shanghai）
Time: 14:00-15:00, Jun 7, 2023
Room: Tencent Meeting ID: 987 696 573, no password & Room 414, Building 2, USTC Shanghai Institute for Advanced Studies
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.
