Subscribe to Events

Translator is a special type of hypersurfaces which generate translating solutions to mean curvature flow. Such surfaces play an important role in the theory of mean curvature flow, mainly due to its connection with singularity analysis. In this talk, we will be interested in the dynamical stability of translators, which asks if flows starting from nearby surfaces converge back to the translator. By properly defining the notion of nearby surfaces, we show that this is the case when the translator is either low dimensional (dimensions 1 or 2), or is non-collapsed.