most citedA New Measure of Coarseness for Solutions to Cahn--Hilliard Equations

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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

Fractional Voigt-regularization of the 3D Navier--Stokes and Euler equations: Global well-posedness and limiting behavior

Zdzislaw Brzeźniak, Adam Larios, Isabel Safarik

The Voigt regularization is a technique used to model turbulent flows, offering advantages such as sharing steady states with the Navier-Stokes equations and requiring no modificat…

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…