Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Morphological instability of similarity solution to the Stefan problem with undercooling and surface tension

Authors: I. Rubinstein and B. Zaltzman
Journal: Quart. Appl. Math. 56 (1998), 341-354
MSC: Primary 35B35; Secondary 35K05, 35R35, 80A22
DOI: https://doi.org/10.1090/qam/1622507
MathSciNet review: MR1622507
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Abstract: This paper concerns morphological stability of a similarity solution to the Stefan problem with surface tension and initial supercooling. The linear stability analysis shows that for a nonzero surface tension each perturbation mode with a nonzero wave number is stable. However, the solution is unstable with respect to perturbations with a zero wave number limit point in their Fourier spectrum.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/1622507
Article copyright: © Copyright 1998 American Mathematical Society

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