Bifurcations of stationary solutions with triple junctions in phase separation problems - A new view of bifurcation analysis

Shunsaku Nii

doi:10.1016/j.physd.2009.02.016

Bifurcations of stationary solutions with triple junctions in phase separation problems - A new view of bifurcation analysis

Research output: Contribution to journal › Article › peer-review

Abstract

Investigated here are bifurcations of stationary solutions with triple junctions to the curvature-driven motion of curves, which arises in phase separation problems. We demonstrate that, when seen from a new perspective, typical bifurcations under perturbations of domain shape can be analyzed using only elementary geometry.

Original language	English
Pages (from-to)	1050-1055
Number of pages	6
Journal	Physica D: Nonlinear Phenomena
Volume	238
Issue number	13
DOIs	https://doi.org/10.1016/j.physd.2009.02.016
Publication status	Published - Jun 15 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2009.02.016

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title = "Bifurcations of stationary solutions with triple junctions in phase separation problems - A new view of bifurcation analysis",

abstract = "Investigated here are bifurcations of stationary solutions with triple junctions to the curvature-driven motion of curves, which arises in phase separation problems. We demonstrate that, when seen from a new perspective, typical bifurcations under perturbations of domain shape can be analyzed using only elementary geometry.",

author = "Shunsaku Nii",

year = "2009",

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doi = "10.1016/j.physd.2009.02.016",

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Bifurcations of stationary solutions with triple junctions in phase separation problems - A new view of bifurcation analysis

Abstract

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