A few topics on Hele-Shaw problems

发布时间：2025-08-31 作者：浏览次数：

Speaker:	赵蒙	DateTime:	2025年9月3日（周三）上午10:00-12:00
Brief Introduction to Speaker: 赵蒙，华中科技大学		Place:	国交2号楼315会议室
Abstract:In this talk, we will present an adaptive rescaling boundary integral scheme for investigating the dynamics of interfaces in Hele-Shaw problems. The approach involves mapping the current time-space onto a new frame, where the interfaces evolve at a selected speed. We will also explore the multi-interface Hele-Shaw problem, where the traditionally highly branched morphologies are replaced by more stable structures. In these new configurations, phenomena such as finger-tip splitting and finger competition are notably suppressed due to the interactions between the interfaces. By adjusting the multi-interface setup, we can accelerate the emergence of self-similar limiting shapes in the shape-control concept.