Computation of bifurcated branches in a free boundary problem arising in combustion theory
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 34 (2000) no. 2, p. 223-239
@article{M2AN_2000__34_2_223_0,
     author = {Baconneau, Olivier and Brauner, Claude-Michel and Lunardi, Alessandra},
     title = {Computation of bifurcated branches in a free boundary problem arising in combustion theory},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {34},
     number = {2},
     year = {2000},
     pages = {223-239},
     zbl = {0962.65072},
     mrnumber = {1765658},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2000__34_2_223_0}
}
Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra. Computation of bifurcated branches in a free boundary problem arising in combustion theory. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 34 (2000) no. 2, pp. 223-239. http://www.numdam.org/item/M2AN_2000__34_2_223_0/

[1] O. Baconneau, Bifurcation de fronts pour un problème à frontière libre en combustion. Ph.D. thesis, Université Bordeaux 1 (1998).

[2] C.-M. Brauner, J. Hulshof and A. Lunardi, A general approach to stability in free boundary problems. J. Differential Equations (to appear). | Zbl 0973.35200

[3] C.-M. Brauner and A. Lunardi, Bifurcation of nonplanar travelling waves in a free boundary problem. Nonlinear Analysis T. M. A. (to appear). | MR 1816662 | Zbl 0981.35102

[4] C.-M. Brauner, A. Lunardi and Cl. Schmidt-Lainé, Stability of travelling waves with interface conditions. Nonlinear Analysis T. M. A. 19 (1992) 465-484. | MR 1181348 | Zbl 0780.35115

[5] C.-M. Brauner, A. Lunardi and Cl. Schmidt-Lainé, Multidimensional stability analysis of planar travelling waves. Appl. Math, Lett. 7 (1994) 1-4. | MR 1350600 | Zbl 0814.35148

[6] C.-M. Brauner, A. Lunardi and Cl. Schmidt-Lainé, Stability of travelling waves in a multidimensional free boundary problem. Nonlinear Analysis T.M.A. (to appear). | MR 1816663 | Zbl 1032.35082

[7] M.G. Crandall and P.H. Rabinowitz, Bifurcation from simple eigenvalues. J. Funct. Anal. 8 (1971) 321-340. | MR 288640 | Zbl 0219.46015

[8] H.B. Keller, Numerical solution of bifurcation and non linear eigenvalue problems. P. Rabinowitz Ed., Academic Press, New York (1978) 73-94.

[9] D.H. Sattinger, Stability of waves of nonlinear parabolic equations. Adv. Math. 22 (1976) 141-178. | MR 435602 | Zbl 0344.35051

[10] D.S. Stewart and G.S.S. Ludford, The acceleration of fast deflagration waves. Z.A.M.M. 63 (1983) 291-302. | Zbl 0564.76110

[11] J.L. Vazquez, The Free Boundary Problem for the Heat Equation with fixed Gradient Condition, Proc. Int. Conf. "Free Boundary Problem and Applications", Zakopane, Pitman Res. Notes Math. 363, Longman (1996). | MR 1462990 | Zbl 0867.35120