Free Access
Issue
ESAIM: M2AN
Volume 22, Number 4, 1988
Page(s) 535 - 560
DOI https://doi.org/10.1051/m2an/1988220405351
Published online 31 January 2017
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  2. F. BENKHALDOUN & B. LARROUTUROU, Explicit adaptive calculations of wrinkled flame propagation, Int. J. Num. Meth. Fluids., Vol. 7, pp. 1147-1158 (1987). [Zbl: 0645.76075]
  3. F. BENKHALDOUN& B. LARROUTUROU, A finite-element adaptive investigation of two-dimensional flame front instabilities, to appear. [Zbl: 0687.76071]
  4. H. BREZIS, Équations d'évolution non linéaires, to appear.
  5. J. D. BUCKMASTER & G. S. S. LUDFORD, Theory of laminar flames, Cambridge University Press (1982). [MR: 666866] [Zbl: 0557.76001]
  6. P. G. CIARLET & P. A. RAVIART, Maximum principle and uniform convergence for the finite-element method, Comp. Meth. Appl. Mech. Eng., 2, pp. 17-31 (1973). [MR: 375802] [Zbl: 0251.65069]
  7. H. GUILLARD, B. LARROUTUROU &N. MAMAN, Numerical investigation of two-dimensional flame front instabilities using pseudo-spectral methods, to appear.
  8. B. LARROUTUROU, The equations of one-dimensional unsteady flame propagation, existence and uniqueness, SIAM J. Math. Anal., Vol. 19, N° 1, pp. 32-59 (1988). [MR: 924543] [Zbl: 0662.35090]
  9. A. PAZY, Semigroups oflinear operators and applications to partial differential equations, Springer Verlag, New York (1983). [MR: 710486] [Zbl: 0516.47023]
  10. G. I. SIVASHINSKY, Instabilites, pattern formation, and turbulence in flames, Ann. Rev. Fluid Mech., 15, pp. 179-199 (1983). [Zbl: 0538.76053]
  11. G. STAMFACCHIA, Equations elliptiques du second ordre à coefficients discontinus, Presses Univ. Montréal, Montréal (1966). [MR: 251373] [Zbl: 0151.15501]
  12. F. A. WILLIAMS, Combustion theory (second édition), Benjamin Cummings, Menlo Park (1985).

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