Stefan problems with a concentrated capacity

Enrico Magenes

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 1, page 71-81
  • ISSN: 0392-4041

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Magenes, Enrico. "Stefan problems with a concentrated capacity." Bollettino dell'Unione Matematica Italiana 1-B.1 (1998): 71-81. <http://eudml.org/doc/195917>.

@article{Magenes1998,
author = {Magenes, Enrico},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {phase change; concentrated capacity; existence; uniqueness; regularity},
language = {eng},
month = {2},
number = {1},
pages = {71-81},
publisher = {Unione Matematica Italiana},
title = {Stefan problems with a concentrated capacity},
url = {http://eudml.org/doc/195917},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Magenes, Enrico
TI - Stefan problems with a concentrated capacity
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/2//
PB - Unione Matematica Italiana
VL - 1-B
IS - 1
SP - 71
EP - 81
LA - eng
KW - phase change; concentrated capacity; existence; uniqueness; regularity
UR - http://eudml.org/doc/195917
ER -

References

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  5. FASANO, A.- PRIMICERIO, M.- RUBINSTEIN, L., A model problem for heat conduction with a free boundary in a concentrated capacity, J. Inst. Math. Appl., 26 (1980), 327-347. Zbl0456.35093MR605396
  6. GILBARG, D.- TRUDINGER, N. S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin (1983). Zbl0562.35001MR737190
  7. LIONS, J. L.- MAGENES, E., Non Homogeneous Boundary Value Problems and Applications I, II, Springer-Verlag, Berlin (1972). Zbl0223.35039
  8. MAGENES, E., On a Stefan problem on a boundary of a domain, in M. MIRANDA (ed.), Partial Differential Equations and Related Subjects, Longman Scient. Techn. (1992), pp. 209-226. Zbl0803.35170MR1190942
  9. MAGENES, E., Some new results on a Stefan problem in a concentrated capacity, Rend. Acc. Lincei, Mat. Appl., s. 9, v. 3 (1992), 23-34. Zbl0767.35110MR1159996
  10. MAGENES, E., The Stefan problem in a concentrated capacity, in: P. E. RICCI (ed.), Atti Simp. Int. «Problemi attuali dell'Analisi e della Fisica Matematica»; Dip. di Matematica, Univ. «La Sapienza», Roma (1993), pp. 155-182. Zbl0803.35171
  11. MAGENES, E., Regularity and approximation properties for the solution of a Stefan problem in a concentrated capacity, Proc. Int. Workshop on Variational Methods, Nonlinear Analysis and Differential Equations, E.C.I.G., Genova (1994), pp. 88-106. 
  12. MAGENESE, E., On a Stefan problem in a concentrated capacity, in: P. MARCELLINI, G. TALENTI, E. VESENTINI (eds.), P.D.E. and Applications, Marcel Dekker, Inc. (1996), pp. 237-253. Zbl0864.35127MR1371595
  13. MAGENES, E., Stefan problems in a concentrated capacity, Adv. Math. Comp. Appl., Proc. AMCA95, N.C.C. Pubbl., Novosibirsk (1996), pp. 82-90. Zbl0864.35127MR1701426
  14. MOSCO, U., Convergence of convex sets and of solutions of variational inequalitites, Adv. Math., 3 (1969), pp. 510-585. Zbl0192.49101MR298508
  15. MOSCO, U., On the continuity of the Young-Fenchel transformation, J. Math. Anal. Appl., 35 (1971), pp. 518-535. Zbl0253.46086MR283586
  16. RUBINSTEIN, L., Temperature Fields in Oil Layers, Nedra, Moscow (1972). MR503025
  17. RUBINSTEIN, L., The Stefan problem: Comments on its present state, J. Inst. Math. Appl., 24 (1979), 259-277. Zbl0434.35086MR550476
  18. RUBINSTEIN, L.- GEIMAN, H.- SHACHAF, M., Heat transfer with a free boundary moving within a concentrated capacity, I.M.A. J. Appl. Math., 28 (1982), 131-147. Zbl0489.35077MR662144
  19. SAVARÉ, G.- VISINTIN, A., Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase, Rend. Acc. Lincei, Mat. Appl., s. 9, v. 8 (1997), 49-89. Zbl0888.35139MR1484545
  20. SHILLOR, M., Existence and continuity of a weak solution to the problem of a free boundary in a concentrated capcity, Proc. Roy. Soc. Edinburgh, Sect. A, 100 (1985), 271-280. Zbl0591.35086MR807706
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