The Stefan problem in heterogeneous media

Tomáš Roubíček

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: 6, Issue: 6, page 481-501
  • ISSN: 0294-1449

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Roubíček, Tomáš. "The Stefan problem in heterogeneous media." Annales de l'I.H.P. Analyse non linéaire 6.6 (1989): 481-501. <http://eudml.org/doc/78188>.

@article{Roubíček1989,
author = {Roubíček, Tomáš},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Stefan problem; heterogeneous media},
language = {eng},
number = {6},
pages = {481-501},
publisher = {Gauthier-Villars},
title = {The Stefan problem in heterogeneous media},
url = {http://eudml.org/doc/78188},
volume = {6},
year = {1989},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - The Stefan problem in heterogeneous media
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - 6
IS - 6
SP - 481
EP - 501
LA - eng
KW - Stefan problem; heterogeneous media
UR - http://eudml.org/doc/78188
ER -

References

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  1. [1] J.K. Cannon and E. Dibenedetto, On tne Existence of Weak Solutions to an n-Dimensional Stefan Problem with Nonlinear Boundary Conditions, S.I.A.M. J. Math. Anal., Vol. 11, 1980, pp. 632-645. Zbl0459.35090MR579555
  2. 2] A. Friedman, The Stefan Problem in Several Space Variables, Trans. Amer. Math. Soc., Vol. 133, 1968, pp. 51-87. Zbl0162.41903MR227625
  3. 3] S. Kamenomostskaya, On the Stefan Problem (in Russian), Mat. Sb., Vol. 53, 1961, pp. 488-514. Zbl0102.09301
  4. 4] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod et Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
  5. 5] E. Magenes, C. Verdi and A. Visintin, Semigroup Approach to the Stefan Problem with Nonlinear Flux, Atti Acc. Lincei Rend. fis., S. VIII, Vol. 75, 1983, pp. 24-33. Zbl0562.35089MR780804
  6. [6] M. Niezgódka and I. Pawłow, A Generalized Stefan Problem in Several Space Variables, Appl. Math. Optim., Vol. 9, 1983, pp. 193-224. Zbl0519.35079MR687720
  7. [7] I. Pawłow, A Variational Inequality Approach to Generalized Two-Phase Stefan Problem in Several Space Variables, Ann. Matem. Pura et Applicata, Vol. 131, 1982, pp. 333-373. Zbl0506.35061MR681571
  8. [8] T. Roubícek, Optimal Control of a Stefan Problem with State-Space Constraints, Numer. Math., Vol. 50, 1987, pp. 723-744. Zbl0589.65056MR884297
  9. [9] A. Visintin, Sur le problème de Stefan avec flux non linéaire, Boll. U.M.I.,C-18,1981, pp. 63-86. Zbl0471.35078MR631569

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