On the structure of phase transition maps for three or more coexisting phases
Nicholas D. Alikakos
TL;DR
This paper explores the mathematical structure of phase transition maps involving three or more coexisting phases, providing insights into their geometric and analytical properties.
Contribution
It offers an expanded theoretical analysis of phase transition maps with multiple phases, extending previous understanding in geometric PDEs.
Findings
Characterization of the geometric structure of phase transition maps
Extension of phase coexistence theory to three or more phases
Insights into the regularity and singularities of transition interfaces
Abstract
This paper is partly based on a lecture delivered by the author at the ERC workshop "Geometric Partial Differential Equations" held in Pisa in September 2012. What is presented here is an expanded version of that lecture.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Differential Equations and Dynamical Systems · Stability and Controllability of Differential Equations