Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire

Martine Marion

Annales de la Faculté des sciences de Toulouse : Mathématiques (1984)

  • Volume: 6, Issue: 3-4, page 215-255
  • ISSN: 0240-2963

How to cite

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Marion, Martine. "Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.3-4 (1984): 215-255. <http://eudml.org/doc/73165>.

@article{Marion1984,
author = {Marion, Martine},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {laminar steady flame; combustion equations; planar travelling waves; ignition temperature},
language = {fre},
number = {3-4},
pages = {215-255},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire},
url = {http://eudml.org/doc/73165},
volume = {6},
year = {1984},
}

TY - JOUR
AU - Marion, Martine
TI - Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1984
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 3-4
SP - 215
EP - 255
LA - fre
KW - laminar steady flame; combustion equations; planar travelling waves; ignition temperature
UR - http://eudml.org/doc/73165
ER -

References

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  1. [1] Aronson D.G. et Weinberger H.F.«Nonlinear diffusion in population genetics, combustion and nerve propagation». In Partial Differential Equations and Related Topics, Lecture Notes in Math.446, Springer Verlag, New York (1975), 5-49. Zbl0325.35050
  2. [2] Berestycki H., Lions P.L. et Peletier L.A.Indiana Univ. Math. J.30 (1981), 141-157. Zbl0522.35036
  3. [3] Berestycki H., Nicolaenko B. et Scheurer B.«Sur quelques problèmes asymptotiques avec applications à la combustion»C. R. Ac. Sc.Paris, Série I, 296 (1983), 105-108. Zbl0526.34044
  4. [4] Berestycki H., Nicolaenko B. et Scheurer B.«Mathematical analysis and singular limits of laminar flame fronts». A paraître. 
  5. [5] Buckmaster J. et Ludford G.S.S.«The laminar flame theory». Cambridge Univ. Press (1982). Zbl1155.76002MR666866
  6. [6] Fife P.C.«Mathematical aspects of reacting and diffusing systems». Lecture Notes in Biomathematics28, Springer Verlag (1979). Zbl0403.92004MR527914
  7. [7] Johnson W.E.«On a first order boundary value problem from laminar flame theory»Arch. Rat. Mech. Anal., 13, (1963), 46-54. Zbl0114.42402MR151122
  8. [8] Johnson W.E. et Nachbar W.«Laminar flame theory and the steady linear burning of a monopropellant». Arch. Rat. Mech. Anal., 12, (1963), 58-91. Zbl0111.40502MR145845
  9. [9] Williams F.A. «Combustion theory». Addison Wesley, Cambridge, Mass. (1965). 
  10. [10] Uchiyama K.«The behavior of some non linear diffusion equations for large time». J. Math. Kyoto Univ., 18, (1978), 453-508. Zbl0408.35053MR509494

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