Équation de la chaleur et réflections multiples

C. Perret; P. Witomski

Annales de l'I.H.P. Analyse non linéaire (1991)

  • Volume: 8, Issue: 6, page 677-689
  • ISSN: 0294-1449

How to cite

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Perret, C., and Witomski, P.. "Équation de la chaleur et réflections multiples." Annales de l'I.H.P. Analyse non linéaire 8.6 (1991): 677-689. <http://eudml.org/doc/78267>.

@article{Perret1991,
author = {Perret, C., Witomski, P.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {existence; numerical simulation of crystal growth; Laplace equation; nonlinear, nonlocal boundary conditions; uniqueness; sub and super solutions; maximum principle},
language = {fre},
number = {6},
pages = {677-689},
publisher = {Gauthier-Villars},
title = {Équation de la chaleur et réflections multiples},
url = {http://eudml.org/doc/78267},
volume = {8},
year = {1991},
}

TY - JOUR
AU - Perret, C.
AU - Witomski, P.
TI - Équation de la chaleur et réflections multiples
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1991
PB - Gauthier-Villars
VL - 8
IS - 6
SP - 677
EP - 689
LA - fre
KW - existence; numerical simulation of crystal growth; Laplace equation; nonlinear, nonlocal boundary conditions; uniqueness; sub and super solutions; maximum principle
UR - http://eudml.org/doc/78267
ER -

References

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  1. [1] R.B. Bird, W.E. Stewart et E.N. Lightfood, Transport Phenomena, John Wiley and Sons, 1960. 
  2. [2] H. Brezis, Analyse fonctionnelle, Masson, 1983. Zbl0511.46001MR697382
  3. [3] J.C. Brice, The growth of the crystals from the melt, North Holland, 1965. 
  4. [4] R.F. Curtain et A.J. Pritchard, Functional Analysis in Modern Applied Mathematics, Academic Press, 1977. Zbl0448.46002MR479787
  5. [5] V. Hutson et J.S. Pym, Applications of Functional Analysis and Operator Theory, Academic Press, 1980. Zbl0426.46009MR569354
  6. [6] C. Perret, Calcul des contraintes thermoélastiques dans le tirage de l'arséniure de gallium, Thèse, Grenoble, 1989. 
  7. [7] M.H. Protter et H.F. Weinberger, Maximum Principles in Differential Equations, Springer-Verlag, New York Inc, 1984. Zbl0549.35002MR762825
  8. [8] P. Witomski, The Steady State Heat Equation with Mixed Nonlinear Boundary Conditions — An Example in Cristallography, Comp. meth. in app. and mech. eng., vol. 35, 1982, p. 47-66. Zbl0478.73009MR680804

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