Singularity Formations in Lagrangian Mean Curvature Flow: Uniqueness, Blowup Limits, and the Lawlor Neck
This research paper investigates the formation of singularities in Lagrangian mean curvature flow, focusing on tangent flows defined by special Lagrangian cones. The study reveals uniqueness properties of these tangent flows, explores the existence of specific blowup limits, and establishes a connection between singularities and the geometry of Lawlor necks.
Translating Solitons Cannot Be Blow-up Limits for Lagrangian Mean Curvature Flow with Zero Maslov Class
This paper disproves the conjecture that the Lagrangian translating solitons constructed by Joyce-Lee-Tsui, as well as the Grim Reaper, can be blow-up limits for a Lagrangian mean curvature flow with zero Maslov class.
偽歐氏空間中的拉格朗日平均曲率流 II
本文探討偽歐氏空間中，初始數據為整數拉格朗日圖的平均曲率流的長時間存在性和收斂性，並證明了在特定條件下，解會收斂到光滑的自擴展解。
Long-Time Existence, Convergence, and Self-Expanding Solutions of Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space
This research paper investigates the long-time existence and convergence of the Lagrangian mean curvature flow for entire Lagrangian graphs in pseudo-Euclidean space, establishing the existence of smooth solutions and their convergence to self-expanding solutions under specific conditions.
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