Determining Coherent Sets in 2D Fluid Flows by Transfer Operator Methods

Coherent sets are areas of the flow which are closed or nearly closed from the rest of the fluid (e.g. ocean garbage patches, Jupiter’s red spot). Our goal is to identify such set; this is useful for other areas of research as well (e.g. climatology, pollution). We wanted to be able to show the existence of coherent sets mathematically and we were able to do so in our simulated data. These methods are useful to those wishing to model real-world 2D flows.Mathematics, Department ofHonors Colleg