Geodesic
Existence of self-similar evolution of crystals grown from supersaturated vapor
Yoshikazu Giga1 ; Piotr Rybka2
1University of Tokyo, Japan
2Warsaw University, Poland
Interfaces and free boundaries, Tome 6 (2004) no. 4, pp. 405-421

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DOI

We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This system arises in modeling crystals grown from supersaturated vapor. We show existence of self-similar solutions to this system under a special choice of interfacial energy and kinetic coefficients.
DOI : 10.4171/ifb/107
Classification : 35-XX, 65-XX, 92-XX, 70-XX
Mots-clés : Crystal growth, diffusion field, self-similarity, interfacial energy

Yoshikazu Giga  1   ; Piotr Rybka  2

1 University of Tokyo, Japan
2 Warsaw University, Poland 
Yoshikazu Giga; Piotr Rybka. Existence of self-similar evolution of crystals grown from supersaturated vapor. Interfaces and free boundaries, Tome 6 (2004) no. 4, pp. 405-421. doi: 10.4171/ifb/107
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     author = {Yoshikazu Giga and Piotr Rybka},
     title = {Existence of self-similar evolution of crystals grown from supersaturated vapor},
     journal = {Interfaces and free boundaries},
     pages = {405--421},
     year = {2004},
     volume = {6},
     number = {4},
     doi = {10.4171/ifb/107},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/107/}
}
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