Geodesic
Three-phase boundary motion by surface diffusion: stability of a mirror symmetric stationary solution
Katsuo Ito1 ; Yoshihito Kohsaka2 orcid
1Kyushu University, Fukuoka, Japan
2Hokkaido University, Sapporo, Japan
Interfaces and free boundaries, Tome 3 (2001) no. 1, pp. 45-80

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DOI

We prove that the sharp interface model for a three-phase boundary motion by surface diffusion proposed by H. Garcke and A. Novick-Cohen admits a unique global solution provided the initial data fulfils a certain symmetric criterion and is also close to a minimizer of the energy under an area constraint. This minimizer is also a stationary solution of the present model. Moreover, we prove that the global solution converges to the minimizer of the energy as time goes to infinity.
DOI : 10.4171/ifb/32
Classification : 46-XX, 60-XX

Katsuo Ito  1   ; Yoshihito Kohsaka  2

1 Kyushu University, Fukuoka, Japan
2 Hokkaido University, Sapporo, Japan 
Katsuo Ito; Yoshihito Kohsaka. Three-phase boundary motion by surface diffusion: stability of a mirror symmetric stationary solution. Interfaces and free boundaries, Tome 3 (2001) no. 1, pp. 45-80. doi: 10.4171/ifb/32
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     pages = {45--80},
     year = {2001},
     volume = {3},
     number = {1},
     doi = {10.4171/ifb/32},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/32/}
}
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