Plateau Angle Conditions for the Vector-Valued Allen--Cahn Equation

DOI10.1137/120893586zbMath1292.35115arXiv1210.0231OpenAlexW1995493779MaRDI QIDQ5397644

Panagiotis Antonopoulos, Nicholas D. Alikakos, Apostolos Damialis

Publication date: 24 February 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0231

zbMATH Keywords

stress tensorAllen-Cahn equationtriple junctionsYoung's lawPlateau angle conditions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47)

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