Speaker: Dr. Eduardo Teixeira (UCF, Mathematics Dept)
Title: Free boundary problems with varying geometries
Abstract: Free boundary problems involve PDEs governing a system within subregions that are a priori unknown. This inherent complexity leads to abrupt changes in the solution's behavior across transition phases, creating a distinct geometric signature for the free boundary model in question.
In this talk, I will discuss a recent research program aimed at analyzing free boundary models that encompass a continuum of varying geometries. This includes Bernoulli-type problems with unbounded jumps and variational models involving oscillatory singularities. The overarching goal is to understand how pointwise variations in free boundary geometry influence its local regularity.
Place: https://ucf.zoom.us/j/94399944324
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