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math.AP2026
A New Measure of Coarseness for Solutions to Cahn--Hilliard Equations
Peter Howard, Adam Larios, Quyuan Lin
We introduce a new measure of coarseness for characterizing phase separation processes such as those described by Cahn--Hilliard equations. An advantage of our measure is that it r…
math.AP2024
Comparison of Coarsening Dynamics for the Cahn--Hilliard and Burgers--Cahn--Hilliard Equations
Peter Howard, Adam Larios, Quyuan Lin
We consider coarsening dynamics associated with a Burgers--Cahn--Hilliard system modeling a two-phase flow in one space dimension. Our emphasis is on the effect that coupling betwe…