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Nonlinear Analysis

Singularity formation for the Landau-Lifshitz-Gilbert equation in dimension two

Yifu Zhou, Johns Hopkins University

Location:  Hill Center Room 705
Date & time: Tuesday, 14 February 2023 at 1:40PM - 2:40PM

Abstract: Landau-Lifshitz-Gilbert equation (LLG), which models the evolution of spin fields in continuum ferromagnetism, can be viewed as a coupling between the harmonic map heat flow and the Schrödinger map flow. In this talk, we shall report some recent construction of finite-time singularities for LLG in dimension two. The construction is done via the inner-outer gluing method, and to overcome the difficulties caused by the presence of the dispersion, technical ingredients such as distorted Fourier transform and sub-Gaussian estimates are employed. This is based on a joint work with J. Wei and Q. Zhang.

Seminar website:  Nonlinear Analysis Seminar (

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