@article{M2AN_1988__22_4_535_0,
author = {Benkhaldoun, F. and Larrouturou, B.},
title = {Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {535--560},
year = {1988},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {22},
number = {4},
mrnumber = {974288},
zbl = {0701.65097},
language = {en},
url = {https://www.numdam.org/item/M2AN_1988__22_4_535_0/}
}
TY - JOUR AU - Benkhaldoun, F. AU - Larrouturou, B. TI - Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1988 SP - 535 EP - 560 VL - 22 IS - 4 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1988__22_4_535_0/ LA - en ID - M2AN_1988__22_4_535_0 ER -
%0 Journal Article %A Benkhaldoun, F. %A Larrouturou, B. %T Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation %J ESAIM: Modélisation mathématique et analyse numérique %D 1988 %P 535-560 %V 22 %N 4 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1988__22_4_535_0/ %G en %F M2AN_1988__22_4_535_0
Benkhaldoun, F.; Larrouturou, B. Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation. ESAIM: Modélisation mathématique et analyse numérique, Tome 22 (1988) no. 4, pp. 535-560. https://www.numdam.org/item/M2AN_1988__22_4_535_0/
[1] , &, Prik. Mekh. Tekh. Fiz., 2, p. 21 (1962).
[2] & , Explicit adaptive calculations of wrinkled flame propagation, Int. J. Num. Meth. Fluids., Vol. 7, pp. 1147-1158 (1987). | Zbl
[3] & , A finite-element adaptive investigation of two-dimensional flame front instabilities, to appear.
[4] , Équations d'évolution non linéaires, to appear.
[5] & , Theory of laminar flames, Cambridge University Press (1982). | Zbl | MR
[6] & , Maximum principle and uniform convergence for the finite-element method, Comp. Meth. Appl. Mech. Eng., 2, pp. 17-31 (1973). | Zbl | MR
[7] , &, Numerical investigation of two-dimensional flame front instabilities using pseudo-spectral methods, to appear.
[8] , The equations of one-dimensional unsteady flame propagation, existence and uniqueness, SIAM J. Math. Anal., Vol. 19, N° 1, pp. 32-59 (1988). | Zbl | MR
[9] , Semigroups oflinear operators and applications to partial differential equations, Springer Verlag, New York (1983). | Zbl | MR
[10] , Instabilites, pattern formation, and turbulence in flames, Ann. Rev. Fluid Mech., 15, pp. 179-199 (1983). | Zbl
[11] , Equations elliptiques du second ordre à coefficients discontinus, Presses Univ. Montréal, Montréal (1966). | Zbl | MR
[12] , Combustion theory (second édition), Benjamin Cummings, Menlo Park (1985).






