Asymptotic behaviour t → + 0 of the interface for the critical case of undercooled Stefan problem

Ivan G. Götz; Mario Primicerio; Juan J. L. Velázquez

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2002)

  • Volume: 13, Issue: 2, page 143-148
  • ISSN: 1120-6330

Abstract

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The critical case of solvability of a two-phase Stefan problem with supercooled liquid phase is considered. Asymptotic analysis is performed of the behaviour of the free boundary in the vicinity of the initial time.

How to cite

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Götz, Ivan G., Primicerio, Mario, and Velázquez, Juan J. L.. "Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled Stefan problem." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 13.2 (2002): 143-148. <http://eudml.org/doc/252451>.

@article{Götz2002,
abstract = {The critical case of solvability of a two-phase Stefan problem with supercooled liquid phase is considered. Asymptotic analysis is performed of the behaviour of the free boundary in the vicinity of the initial time.},
author = {Götz, Ivan G., Primicerio, Mario, Velázquez, Juan J. L.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Stefan problem; Supercooling; Asymptotics; supercooling; asymptotics},
language = {eng},
month = {6},
number = {2},
pages = {143-148},
publisher = {Accademia Nazionale dei Lincei},
title = {Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled Stefan problem},
url = {http://eudml.org/doc/252451},
volume = {13},
year = {2002},
}

TY - JOUR
AU - Götz, Ivan G.
AU - Primicerio, Mario
AU - Velázquez, Juan J. L.
TI - Asymptotic behaviour ($t \rightarrow +0$) of the interface for the critical case of undercooled Stefan problem
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2002/6//
PB - Accademia Nazionale dei Lincei
VL - 13
IS - 2
SP - 143
EP - 148
AB - The critical case of solvability of a two-phase Stefan problem with supercooled liquid phase is considered. Asymptotic analysis is performed of the behaviour of the free boundary in the vicinity of the initial time.
LA - eng
KW - Stefan problem; Supercooling; Asymptotics; supercooling; asymptotics
UR - http://eudml.org/doc/252451
ER -

References

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  1. Fasano, A., Phase transition with supercooling. Boll. Un. Mat. Ital., 8, 1-B, 1998, 49-69. Zbl0903.35095MR1619031
  2. Fasano, A. - Primicerio, M., A critical case for the solvability of Stefan-like problems. Math. Meth. Appl. Sci., 5, 1983, 84-96. Zbl0526.35078MR690897DOI10.1002/mma.1670050107
  3. Fasano, A. - Primicerio, M. - Howison, S. - Ockendon, J., Some remarks on the regularization of supercooled one-phase Stefan problems in one dimension. Quart. Appl. Math., 48, 1990, 153-168. Zbl0703.35178MR1040239
  4. Götz, I.G. - Zaltzman, B., Two-phase Stefan problem with supercooling. Siam J. Math. Anal., 26, 1995, 694-714. Zbl0826.35140MR1325910DOI10.1137/S003614109223605X
  5. Herrero, M.A. - Velázquez, J.J.L., Singularity formation in the one dimensional supercooled Stefan problem. Eur. J. Appl. Math., 7, 1994, 115-150. Zbl0855.35135MR1388108DOI10.1017/S0956792500002266

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