Effective geometric motions of Ginzburg--Landau equations with potentials of high-dimensional wells

Speaker: Liu Yuning, Assistant Professor from NYU Shanghai

Time: 9:30, March 30^th, 2024

Place: Room 332, No. 3 Building

Sponsor: SHNU College of Mathematics and Mechanical Engineering

Introduction: We shall discuss the co-dimensional one interface limit and geometric motions of parabolic Ginzburg--Landau systems with potentials of high-dimensional wells. In particular combining modulated energy methods and weak convergence methods, we derive a sharp interface limit and the limiting harmonic heat flows in the inner and outer bulk regions segregated by the sharp interface.