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Probability Seminar presents "A sharp interface limit in the Giacomin-Lebowitz model of phase segregation"

A sharp interface limit in the Giacomin-Lebowitz model of phase segregation
Wednesday, January 13, 2021 - 12:00pm
Jiacheng Zhang (Princeton)
Abstract / Description: 

We will discuss the segregation process of two immiscible substances (e.g., oil and water) that have been mixed together. In 1996, Giacomin and Lebowitz proposed a mathematical model for this process that can be viewed as an alternative to the celebrated Cahn-Hilliard equation. They also conjectured that, in their model, the first stage of the phase segregation process, in which the mixture separates into two distinct regions, can be captured on the large scale by a suitable free boundary problem. In this talk, I will describe the latter free boundary problem and some aspects of its analysis and explain how it arises in the context of the Giacomin-Lebowitz model.

Joint with Applied Math Seminar


The Probability Seminars for Winter Quarter will be held online via Zoom at 11am on Mondays. Please note that these events will be locked by the Host after ten minutes, so latecomers will not be able to join the Meeting. Subscribe to our distribution list to receive Meeting IDs and passwords via email.