https://neckpinch.com/authors/jiayu-li/New arXiv papers by Jiayu Li, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2410.17850/arxiv:2410.17850Wed, 23 Oct 2024 00:00:00 GMTXiaoli Han, Jiayu Li, Jun Sun — It is known that there is no a Type I singularity for the Lagrangian mean curvature flow with zero Maslov class. In this paper, we study translating solitons which are important models of Type II singularities. A necessary condition for a blow-up limit arising at a Type II singularity of a Lagrangian mean curvature flow with zero Maslov class is provided. As an application, we try to understand the important open question proposed by Joyce-Lee-Tsui and Neves-Tian, whether the Lagrangian translating solitons constructed by Joyce-Lee-Tsui can be a blow-up limit for a Lagrangian mean curvature flow with zero Maslov class.Mean curvature flowLagrangian mean curvature flowSelf-shrinkers & translatorsSingularities