The Cahn-Hilliard Equation: Recent Advances and Applications
Held May 20-24, 2019 in Montgomery Bell State Park (Burns, TN)
The Cahn-Hilliard equation, introduced in the 1950s, is currently one of the most popular and well studied equations in mathematical physics. The equation was proposed to model and describe phase separation processes, typically in binary alloys. In recent years interest in the Cahn-Hilliard equation has surged with the discovery of its use in modeling phenomena in other fields and applications: in ecology, biology and tumor growth models, image processing and mixtures of immiscible fluids (for example, coupled Cahn-Hilliard and (incompressible) Navier-Stokes systems). For these exciting new applications, much remains to be done, both from modeling and theoretical viewpoints.
Professor Alain Miranville of the University of Poitiers (France) delivered a series of ten main lectures. Professor Miranville is an international
expert in Cahn-Hilliard type equations and applications and a world renowned expositor
and lecturer. His lectures took participants on a journey through the subject beginning
with the derivation of the equation and associated boundary conditions, through the
mathematical analysis of the problems, numerical methods, and ended with cutting edge
applications of Cahn-HIlliard type equations in fluid dynamics, image inpainting,
and tumor growth. Download the suggested preliminary reading >
The main lectures were supported by four additional speakers and panel discussions that heavily emphasized open research problems across multiple scientific fields.
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Gisèle Ruiz Goldstein, University of Memphis
Jerome A. Goldstein, University of Memphis
Roger Temam, Indiana University