Asymptotic theory for disc-like crystal growth (II): Interfacial instability and pattern formation at early stage of growth

Communications on Pure and Applied Analysis

Volumn 3, Issue 3, 2004, Pages 527-543

  Xu, Jian Jun ^a   Shimizu, Junichiro ^b  

^a MCGILL UNIVERSITY   (Canada)

^b JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

Author keywords

Disc like crystal growth; Interfacial Instability; Kinetic attachment; Quantization condition; Surface tension; Unstable eigen modes

Indexed keywords

EID: 24944463723     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2004.3.527     Document Type: Article

References (5)

1. J.J. Xu and J. Shimizu, Asymptotic Theory For Disc-Like Crystal Growth (I) - Basic State Solutions, Discrete and Continuous Dynamical Systems-Series B, (4) 4 (2004), 1091-1116.
2. J.J. Xu, "Interfacial Wave Theory of Pattern Formation: Selection of Dendrite Growth and Viscous Fingering in a Hele-Shaw Flow", Springer-Verlag Publisher, Berlin, 1997.
3. K-K. Koo, R. Ananth and W.N. Gill, Tip Splitting Growth in Dendritic Growth of Ice Crystal, Phys. Rev. A, 44 (1991), p. 3782.
4. Etsuro Yokoyama, R.F. Sekerka, and Yoshinori Furikawa, Growth Trajectories of Disc Crystals of Ice Growing from Supercooled Water, Journal of Physical Chemistry B, (1) 104 (2000), 65-67.
5. Wataru Shimada, "Experimental Studies on Pattern Formation in Growth of Ice Crystals", Ph. D. Thesis, Institute of Low Temperature Science, Hokkado University, (1995).