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• W2896565046 abstract "This is in the sequel of authors' paper cite{LPW} in which we had set up a program to verify rigorously some formal statements associated with the multiple component phase transitions with higher dimensional wells. The main goal here is to establish a regularity theory for minimizing maps with a rather non-standard boundary condition at the sharp interface of the transition. We also present a proof, under simplified geometric assumptions, of existence of local smooth gradient flows under such constraints on interfaces which are in the motion by the mean-curvature. In a forthcoming paper, a general theory for such gradient flows and its relation to Keller-Rubinstein-Sternberg's work cite{KRS1, KRS2} on the fast reaction, slow diffusion and motion by the mean curvature would be addressed." @default.
• W2896565046 created "2018-10-26" @default.
• W2896565046 creator A5078959583 @default.
• W2896565046 creator A5080150651 @default.
• W2896565046 date "2018-10-18" @default.
• W2896565046 modified "2023-10-14" @default.
• W2896565046 title "Harmonic maps in connection of phase transitions with higher dimensional potential wells" @default.
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• W2896565046 doi "https://doi.org/10.48550/arxiv.1810.08348" @default.
• W2896565046 hasPublicationYear "2018" @default.
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