相境界の運動と特異点
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概要
- 論文の詳細を見る
Interface controlled models of phase-boundaries are considered. Evolving phase-boundaries may develop singularities in a finite time. A level set approach developed by Chen-Giga-Goto and Evans-Spruck is explained for nonmathematicians. This method is usefel to track the evolution of the phase-boundary after it experiences singularities. A key mathematical tool is the theory of viscosity solutions which are generalized solutions of the second order degenerate elliptic and parabolic equations. This important theory is also explained without touching technical details.
- 日本結晶成長学会の論文
- 1991-12-15
著者
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儀我 美一
北海道大学理学研究科
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儀我 美一
北海道大学理学部
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Giga Yoshikazu
Department Of Mathematics Graduate School Of Mathematical Sciences University Of Tokyo
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Giga Yoshikazu
Department Of Mathematics Faculty Science Hokkaido University
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