We develop an alternative method to matched asymptotic expansions for the construction of approximate solutions of the Cahn-Hilliard equation suitable for the study of its sharp interface limit. The method is based on the Hilbert expansion used in kinetic theory. Besides its relative simplicity, it leads to calculable higher order corrections to the interface motion. -
E., C., M., C., Orlandi, V. (2005). Approximate solution of the Cahn-Hilliard equation via correction to the Mullins-Sekerka. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 178, 1-55 [10.1007/s00205-005-0366-5].
Approximate solution of the Cahn-Hilliard equation via correction to the Mullins-Sekerka
ORLANDI, Vincenza
2005-01-01
Abstract
We develop an alternative method to matched asymptotic expansions for the construction of approximate solutions of the Cahn-Hilliard equation suitable for the study of its sharp interface limit. The method is based on the Hilbert expansion used in kinetic theory. Besides its relative simplicity, it leads to calculable higher order corrections to the interface motion. -File in questo prodotto:
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