Abstract
In this note we summarize recent work on the global existence, finite-time blowup and asymptotic behavior of planar and spherical solidification solutions of one-phase Stefan problems with surface tension and kinetic undercooling. Special self-similar and travelling wave solutions motivate the results and turn out to be the global attractors of all high-symmetry solutions with the same desiderata. These results are used in determining the onset of shape instabilities in planar and spherical solidification.
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© 1993 Springer-Verlag New York, Inc.
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Chadam, J. (1993). Asymptotic Behavior of Solidification Solutions of Stefan Problems. In: Friedman, A., Spruck, J. (eds) Variational and Free Boundary Problems. The IMA Volumes in Mathematics and its Applications, vol 53. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8357-4_5
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DOI: https://doi.org/10.1007/978-1-4613-8357-4_5
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