Semigroup approach to the Stefan problem with non-linear flux

Enrico Magenes; Claudio Verdi; Augusto Visintin

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

  • Volume: 75, Issue: 1-2, page 24-33
  • ISSN: 0392-7881

How to cite

top

Magenes, Enrico, Verdi, Claudio, and Visintin, Augusto. "Semigroup approach to the Stefan problem with non-linear flux." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 75.1-2 (1983): 24-33. <http://eudml.org/doc/289266>.

@article{Magenes1983,
author = {Magenes, Enrico, Verdi, Claudio, Visintin, Augusto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {7},
number = {1-2},
pages = {24-33},
publisher = {Accademia Nazionale dei Lincei},
title = {Semigroup approach to the Stefan problem with non-linear flux},
url = {http://eudml.org/doc/289266},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Magenes, Enrico
AU - Verdi, Claudio
AU - Visintin, Augusto
TI - Semigroup approach to the Stefan problem with non-linear flux
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1983/7//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 1-2
SP - 24
EP - 33
LA - eng
UR - http://eudml.org/doc/289266
ER -

References

top
  1. Bénilan, Ph. (1972) - Solutions intégrales d'équations d'évolution dans un espace de Banach. «C.R. Acad. Sc.», (A) 274, 47-50. Zbl0246.47068MR300164
  2. Bénilan, Ph. (1972) — Equations d'évolution dans un espace de Banach quelconque et applications. Thèse, Orsay. 
  3. Berger, A.E., Brezis, H., Rogers, C. W. (1979) - A numerical method for solving the problem u t Δ f ( u ) = 0 . «R.A.I.R.O. Num. Anal.», 13, 297-312. Zbl0426.65052MR555381
  4. Brezis, H., Strauss, W. A. (1973) - Semi-linear second-order elliptic equations in L 1 . «J. Math. Soc. Japan», 25, 565-590. Zbl0278.35041MR336050
  5. Cannon, J. R., Di Benedetto, E. (1980) - An n-dimensional Stefan problem with non-linear boundary conditions. «S.I.A.M. J. Math. Anal.», 11, 632-645. Zbl0459.35090MR579555DOI10.1137/0511058
  6. Crandall, M. G., Liggett, T. (1971) - Generation of semi-groups of non-linear transformation on general Banach spaces. «Amer. J. Math.», 93, 265-298. MR287357
  7. Crandall, M. G., Pazy, A. (1972) - Nonlinear evolution equations in Banach spaces. «Israel J. Math.», 11, 57-94. Zbl0249.34049MR300166
  8. Damlamian, A. (1977) - Some results in the multiphase Stefan problem. «Comm. Partial Diff. Equat.», 2 (10), 1017-1044. MR487015
  9. Evans, L. C. (1978) - Application of Non-linear Semigroup Theory to Certain Partial Differential Equations. In: «Nonlinear Evolution Equations», ed. M. C. Crandall, Academic Press. MR513818
  10. Ladyzenskaja, O., Ural'ceva, N. (1968) - Linear and quasilinear equations of elliptic type. Academic Press, New York. MR244627
  11. Lions, J. L., Magenes, E. (1972) - Non-homogeneous boundary value problems and application. Vol. I, Springer, Berlin. Zbl0223.35039MR350177
  12. Magenes, E. - Problemi di Stefan bifase in più variabili spaziali. To appear on «Le Matematiche». 
  13. Verdi, C. (1983) - On the numerical analysis of the Stefan problem with non-linear flux. Publ. I.A.N.-C.N.R. - Pavia, n. 372. 
  14. Niezgódka, M., Pawlow, I. (1983) - A generalized Stefan problem in several space variables. «Appl. Math. Optim.», 9, 193-224. Zbl0519.35079
  15. Visintin, A. (1981) — Sur le problème de Stefan avec flux non linéaire. «Boll. U.M.I., Anal. Funz. Appl.» (5), 18C (1), 63-86. MR631569

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.