On the Stefan problem with energy specification

Pierluigi Colli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 75, Issue: 6, page 303-312
  • ISSN: 1120-6330

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Colli, Pierluigi. "On the Stefan problem with energy specification." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 75.6 (1983): 303-312. <http://eudml.org/doc/287206>.

@article{Colli1983,
author = {Colli, Pierluigi},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Stefan problem; one-phase one-dimensional problem; multi-phase multi- dimensional problem; enthalpy density; variational equality; weak solution},
language = {eng},
month = {12},
number = {6},
pages = {303-312},
publisher = {Accademia Nazionale dei Lincei},
title = {On the Stefan problem with energy specification},
url = {http://eudml.org/doc/287206},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Colli, Pierluigi
TI - On the Stefan problem with energy specification
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/12//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 6
SP - 303
EP - 312
LA - eng
KW - Stefan problem; one-phase one-dimensional problem; multi-phase multi- dimensional problem; enthalpy density; variational equality; weak solution
UR - http://eudml.org/doc/287206
ER -

References

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  1. Baiocchi, C. (1972) - Su un problema a frontiera libera connesso a questioni di idraulica, «Ann. Mat. Pura Appl.», (4) 92, 107-127. Zbl0258.76069MR408443
  2. Cannon, J.R. (1963) - The solution of the heat equation subject to the specification of energy, «Quart. Appl. Math.», 21, 155-160. Zbl0173.38404MR160437
  3. Cannon, J.R. and Van der Hoek, J. (1981) - The existence of and a continuous dependence result for the solution of the heat equation subject to the specification of energy, «Boll. Un. Mat. It.», (4) 1, 253-282. Zbl0538.35038MR641765
  4. Cannon, J.R. and Van der Hoek, J. (1982) - The one-phase Stefan problem subject to the specification of energy. «J. Math. Anal, and Appl.», 86, 281-291. Zbl0508.35074MR649871DOI10.1016/0022-247X(82)90270-0
  5. Cannon, J.R. and Van der Hoek, J. (1982) - The classical solution of the one-dimensional two-phase Stefan problem with energy specification. «Ann. Mat. Pur. Appl.», (4) 130, 385-398. Zbl0493.35080MR663979DOI10.1007/BF01761503
  6. Damlamian, A. (1977) - Some results on the multi-phase Stefan problem, «Comm. Part. Diff. Equat.», 2 (10), 1017-1044. Zbl0399.35054MR487015
  7. Deckert, K.L. and Maple, C.G. (1963) - Solution for diffusion with integral type boundary conditions, «Proc. Iowa Acad. Sci.», 70, 354-361. Zbl0173.12803MR165248
  8. Duvaut, G. (1973) - Résolution d'un problème de Stefan, «C.R. Acad. Sci. Paris» (A), 276, 1461-1463. Zbl0258.35037MR328346
  9. Ionkin, N.I. (1977) - Solution of a boundary value problem in heat conduction with a non-classical boundary condition, «Difïerencial'nye Uravneija»13, 294-304 (English translation: «Differential Equations», 13 (2), 294-304). MR603291
  10. Kamynin, L.I. (1964) - A boundary value problem in the theory of heat conduction with a non classical boundary condition, «Ž. Vyčisl. Mat. i Mat. Fiz.», 4, 1006-1024 (English translation: «USSR Comp. Math, and Math. Phys.», 4 (6), 33-59). MR171085
  11. Lions, J.L. and Magenes, E. (1972) - Non homogeneous boundary value problems and applications, vol. I, II, Springer, Berlin. Zbl0223.35039MR350178
  12. Magenes, E. (1976) — Topics in parabolic equations: some typical free boundary problems, Proc. N.A.T.O. Advanced Study for Evolution Partial Differential Equations, Liège, September 1976. Zbl0366.35001MR470497
  13. Magenes, E. (1981) - Problemi di Stefan bifase in più variabili spaziali, V S.A.F.A., Catania - «Le Matematiche», XXXVI, 65-108. Zbl0545.35096MR736797

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