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تسجيل مستخدم جديدNumerics and analysis of Cahn--Hilliard critical points
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نشر من قبل
Maria Westdickenberg
تاريخ النشر
2021
مجال البحث
الهندسة المعلوماتية
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English
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We explore recent progress and open questions concerning local minima and saddle points of the Cahn--Hilliard energy in $dgeq 2$ and the critical parameter regime of large system size and mean value close to $-1$. We employ the String Method of E, Ren, and Vanden-Eijnden -- a numerical algorithm for computing transition pathways in complex systems -- in $d=2$ to gain additional insight into the properties of the minima and saddle point. Motivated by the numerical observations, we adapt a method of Caffarelli and Spruck to study convexity of level sets in $dgeq 2$.
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